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Question 1

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According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft.In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008).Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%?Match the random variable, population parameter, and hypotheses statements with their correct definitions (not all definitions will be used!).

Question 1 options:

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null hypothesisH_o

1

2

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4

5

6

population parameterp

1

2

3

4

5

6

random variablex

1

2

3

4

5

6

alternate hypothesisH_A

1.

number of complaints from identity thefts in Alaska

2.

proportion of complaints from identity theft in Alaska

3.

p= 0.23

4.

p> 0.23

5.

mean number of complaints from identity theft in Alaska

6.

p< 0.23

Question 2

Saved

Question 2 options:

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft.In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008).Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%?Test at the 5% level.

(i)Which of the following statements correctly defines the null hypothesisH_O?

A. =321

B.p< 0.23

C.p= 0.23

D. <321

Enter letter corresponding to correct answer

(ii)Which of the following statements correctly defines the alternative hypothesisH_A?

A. =321

B.p< 0.23

C.p= 0.23

D. <321

Enter letter corresponding to correct answer

(iii)Enter the level of significanceused for this test:

Enter in decimal form.Examples of correctly entered answers:0.010.020.050.10

(iv)Determinep

Enter in decimal form to nearest ten-thousandth.Examples of correctly entered answers:

0.00010.00200.05000.30000.7115

(v)Do values fornpandnqbothexceed 5?EnterYESorNOfor answer

(vi)Calculate and enter test statistic

Enter value in decimal form rounded to nearest thousandth, with appropriate sign (no spaces).Examples of correctly entered answers:

-2.014-0.370+0.600+1.009

(vii)Using tables, calculator, or spreadsheet:Determine and enterp-value corresponding to test statistic.

Enter value in decimal form rounded to nearest thousandth.Examples of correctly entered answers:

0.0000.0010.0300.6000.8141.000

(viii)Comparing p-value andvalue, which is the correct decision to make for this hypothesis test?

A.RejectH_o

B.Fail to rejectH_o

C.AcceptH_o

D.AcceptH_A

Enter letter corresponding to correct answer.

(ix)Select the statement that most correctly interprets the result of this test:

A.The result is statistically significant at .05 level of significance.Evidence supports the claim that the proportion of complaints due to identity theft in Alaska is less than 23%.

B.The result is statistically significant at .05 level of significance.There is not enough evidence to show that the proportion of complaints due to identity theft in Alaska is not less than 23%.

C.The result is not statistically significant at .05 level of significance.There is not enough evidence to show that the proportion of complaints due to identity theft in Alaska is less than 23%.

D.The result is not statistically significant at .05 level of significance.Evidence supports the claim that the proportion of complaints due to identity theft in Alaska is not less than 23%.

Enter letter corresponding to most correct answer

Question 3

Question 3 options:

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008).Nationally 0.011 (1 out of 88 ) children are diagnosed with ASD ("CDC features -," 2013).Is there sufficient data to show that the incident of ASD is more in Arizona than nationally?Test at the 1% level.

(i)Which of the following statements correctly defines the null hypothesisH_O?

A.p= 0.011

B. =507

C. <507

D.p< 0.011

Enter letter corresponding to correct answer

(ii)Which of the following statements correctly defines the alternative hypothesisH_A?

A.p= 0.011

B. =507

C. <507

D.p> 0.011

Enter letter corresponding to correct answer

(iii)Enter the level of significanceused for this test:

Enter in decimal form.Examples of correctly entered answers:0.010.020.050.10

(iv)Determinep

Enter in decimal form to nearest ten-thousandth.Examples of correctly entered answers:

0.00010.00200.05000.30000.7115

(v)Do values fornpandnqbothexceed 5?EnterYESorNOfor answer

(vi)Calculate and enter test statistic

Enter value in decimal form rounded to nearest thousandth, with appropriate sign (no spaces).Examples of correctly entered answers:

-2.014-0.370+0.600+1.009

(vii)Using tables, calculator, or spreadsheet:Determine and enterp-value corresponding to test statistic.

Enter value in decimal form rounded to nearest thousandth.Examples of correctly entered answers:

0.0000.0010.0300.6000.8141.000

(viii)Comparing p-value andvalue, which is the correct decision to make for this hypothesis test?

A.RejectH_o

B.Fail to rejectH_o

C.AcceptH_o

D.AcceptH_A

Enter letter corresponding to correct answer.

(ix)Select the statement that most correctly interprets the result of this test:

A.The result is statistically significant at .01 level of significance.Evidence supports the claim that the proportion of Arizona children in 2008 with ASD is more than the national proportion.

B.The result is statistically significant at .01 level of significance.There is not enough evidence to show that the proportion of Arizona children in 2008 with ASD is not more than the national proportion.

C.The result is not statistically significant at .01 level of significance.There is not enough evidence to show that the proportion of Arizona children in 2008 with ASD is more than the national proportion.

D.The result is not statistically significant at .01 level of significance.Evidence supports the claim that the proportion of Arizona children in 2008 with ASD is not more than the national proportion.

Enter letter corresponding to most correct answer

Question 4

Question 4 options:

Maintaining your balance may get harder as you grow older.A study was conducted to see how steady the elderly is on their feet.They had the subjects stand on a force platform and have them react to a noise.The force platform then measured how much they swayed forward and backward, and the data is in following table ("Maintaining balance while," 2013).

Table:Forward/backward Sway (in mm) of Elderly Subjects

19

30

20

19

29

25

21

24

50

Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm?Test at the 5% level.

(i)Which of the following statements correctly defines the null hypothesisH_O?

A.p >18.125 mm

B. =18.125 mm

C.p=18.125 mm

D. >18.125 mm

Enter letter corresponding to correct answer

(ii)Which of the following statements correctly defines the alternative hypothesisH_A?

A.p >18.125 mm

B. =18.125 mm

C.p=18.125 mm

D. >18.125 mm

Enter letter corresponding to correct answer

(iii)Enter the level of significanceused for this test:

Enter in decimal form.Examples of correctly entered answers:0.010.020.050.10

(iv)Determinesamplemeanx

Enter answer to nearest ten-thousandth, without units of measure.Examples of correctly entered answers:

11.23850.00793.05007.4000

(v)Determinesamplestandarddeviations

Enter in decimal form to nearest thousandth.Do not enter units of measure.Examples of correctly entered answers:

0.0029.05011.300210.715

(vi)Determine degrees of freedomdf

Enter answer as integer number without sign

(vii)Calculate and enter test statistic

Enter value in decimal form rounded to nearest ten-thousandth, with appropriate sign (no spaces).Examples of correctly entered answers:

-2.0140-0.0307+0.6000+1.0009

(viii)Using tables, calculator, or spreadsheet:Determine and enter p-value corresponding to test statistic.

Enter value in decimal form rounded to nearest thousandth.Examples of correctly entered answers:

0.0000.0010.0300.6000.8141.000

(ix)Comparing p-value andvalue, which is the correct decision to make for this hypothesis test?

A.RejectH_o

B.Fail to rejectH_o

C.AcceptH_o

D.AcceptH_A

Enter letter corresponding to correct answer.

(x)Select the statement that most correctly interprets the result of this test:

A.The result is statistically significant at .05 level of significance.Evidence supports the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.

B.The result is statistically significant at .05 level of significance.There is not enough evidence to support the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.

C.The result is not statistically significant at .05 level of significance.Evidence supports the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.

D.The result is not statistically significant at .05 level of significance.There is not enough evidence to support the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.

Enter letter corresponding to most correct answer

Question 5

Question 5 options:

An article in theSan Jose Mercury Newsstated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees.

Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.0 with a sample standard deviation of 1.4 and then perform a hypothesis at a 1% significance level using the Pvalue procedure.

What is the null and alternate hypothesis for this hypothesis test?

aHo: = 4.5,Ha: > 5.0

bHo: = 4.5,Ha: < 5.0

cHo: = 4.5,Ha: > 4.5

dHo: = 4.5,Ha: < 4.5

eHo: = 4.5,Ha: 4.5

What is the numerical value of for this test?

Enter answer as a 2 place decimal with a 0 to the left of the decimal point.

Do not enter answer as a percent.

What is the appropriate distribution for performing this test?

az distribution

bt distribution

cEither distribution

dNeither. This question does not depend on knowing the appropriate distribution.

Select and enter the appropriate letter

What is the numerical value of the test statistic?(z or t value calculated from the data.)

Enter answer as a decimal rounded to 1 decimal places.

What is the Pvalue? (A probability calculated from the z or t statistic.)

Enter answer rounded to 3 decimal places with a zero to the left of the decimal point.

What is the Pvalue Decision Rule?

a.The data supports the alternate hypothesis if the Pvalue is greater than the significant level of the test.

b.The data supports the alternate hypothesis if the Pvalue is less than the significant level of the test.

c.The Pvalue must equal the significant level of the test for the decision of the hypothesis test to be alternate.

d.The Pvalue must not be equal the significant level of the test for the decision of the hypothesis test to be alternate.

Select the correct answer and enter the appropriate letter.

Based upon the Hypothesis test what is your decision?

aThere is insufficient evidence, based upon the data, to accept the alternate hypothesis.

bThere is sufficient evidence, based upon the data, to accept the alternate hypothesis.

cItis not possible to make a decision (null or alternate), based upon the data.

dA strong case could be made for either decision (null or alternate) based upon the data.

Question 6

Question 6 options:

From Generation to Generation, the mean age when smokers first start to smoke varies. However, the standard deviation of their ages remains. A survey of 40 smokers from our generation was done to see if the mean starting age is less than 19. The sample mean was 18.1. The observed sample standard deviation was 2.1Do the data support the claim at a 5% level?

What is the Null Hypothesis?

aThe mean age of first starting to smoke is less than (<) 18.1

bThe mean age of first starting to smoke is equal to (=) 18.1

cThe mean age of first starting to smoke is not equal to () 19

dThe mean age of first starting to smoke is equal to (=) 19

eThe mean age of first starting to smoke is less than (<) 19

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the Alternate Hypothesis?

aThe mean age of first starting to smoke is less than (< ) 18.1

bThe mean age of first starting to smoke is greater than (>) 18.1

cThe mean age of first starting to smoke is not equal to () 19

dThe mean age of first starting to smoke is greater than (> ) 19

eThe mean age of first starting to smoke is less than (< ) 19

fThe mean age of first starting to smoke is equal to () 19

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the significance level of the test?

Enter answer as a 2 place decimal with a 0 entered to the left of the decimal point.

Do not enter answer as a percent.

What is the appropriate distribution to use to answer the question?

aUniform Distribution

bNormal Distribution

ct Distribution

dChi Square Distribution

eF Distribution

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the numerical value of the Test Statistic?

Enter answer rounded to 2 decimal places.

What is the numerical value of the Pvalue?

Enter answer rounded to 3 place places with a zero to the left of the decimal place.

Do not enter answer as a percent.

What is the Pvalue Decision Rule?

a.The data supports the alternate hypothesis if the Pvalue is greater than the significant level of the test.

b.The data supports the alternate hypothesis if the Pvalue is less than or equal to the significant level of the test.

c.The Pvalue must equal the significant level of the test for the decision of the hypothesis test to be alternate.

d.The Pvalue must not be equal the significant level of the test for the decision of the hypothesis test to be alternate.

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the appropriate decision based upon your analyses of the data?

Enter the correct answer by selecting the appropriate letter without a decimal point.

aThere is sufficient evidence reject the null hypothesis.

bThere is insufficient evidence to reject the null hypothesis.

cThere is insufficient evidence to make a decision based upon the data.

Enter the correct answer by selecting the appropriate letter without a decimal point.

Question 7

Question 7 options:

Your statistics instructor claims that 60% of students that take her Elementary Statistics class go through life feeling more enriched.You believe the actual number of students that took her Elementary Statistics class that feel more enriched islessthan 60%.You decide to check her conjecture by randomly survey 64 of her past students.In your random survey of 64 of her previous students33of the students felt more enriched.At a significance level of 5% does the data support your belief?

What is the null hypothesis for this hypothesis test?

aThe number of students that took her class and feel more enriched is less than or equal to 60%.

bThe number of students that took her class and feel more enriched is less than 60%.

cThe number of students that took her class and feel more enriched is more than or equal to 60%

dThe number of students that took her class and feel more enriched is more than 60%.

eThe number of students that took her class and feel more enriched is not equal to 60%.

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the alternate hypothesis for this hypothesis test?

aThe number of students that took her class and feel more enriched is less than or equal to 60%.

bThe number of studentsthat took her class and feel more enriched is less than 60%.

cThe number of students that took her class and feel more enriched is more than or equal to 60%

dThe number of students that took her class and feel more enriched is more than 60%.

eThe number of students that took her class and feel more enriched is not equal to 60%.

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the significance level of the test?

Enter answer as a 2 place decimal with a 0 entered to the left of the decimal point.

Do not enter answer as a percent.

What is the appropriate distribution to use to answer the question?

aUniform Distribution

bNormal Distribution

ct Distribution

dChi Square Distribution

eF Distribution

Enter the correct answer by selecting the appropriate letter without a decimal point.

What is the numerical value of the Test Statistic? (a z or t number calculated from the data.)

Enter answer as a decimal rounded to 2 places.

What is the Pvalue?(a number calculated from the test statistic)

Enter answer rounded to 3 places with a zero to the left of the decimal place.

Do not enter answer as a percent.

What is the Pvalue Decision Rule?

a.The data supports the alternate hypothesis if the Pvalue is greater than the significant level of the test.

b.The data supports the alternate hypothesis if the Pvalue is less than or equal to the significant level of thetest.

c.The data supports the alternate hypothesis if the Pvalue equals the significant level of the test.

d.The data supports the alternate hypothesis if the Pvalue does not equal the significant level of the test.

Select the correct answer and enter the appropriate letter without a decimal point.

What is the appropriate decision based upon your analyses of the data?

Enter the correct answer by selecting the appropriate letter without a decimal point.

aThere is sufficient evidence reject the null hypothesis.

bThere is insufficient evidence to reject the null hypothesis.

cThere is insufficient evidence to make a decision based upon the data.

Enter the correct answer by selecting the appropriate letter without a decimal point.

Question 8

Question 8 options:

17. In a study of freshman weight gain, the measured weights of 5 randomly selected college students in September and April of their freshman year are shown in the following table.

Weight (lb)

Student

September

April

1

147

150

2

127

125

3

140

150

4

156

160

5

154

156

Is there evidence to suggest that the mean weight of the freshmen in April is greater than the

mean weight in September?

Assume we want to use a 0.05 significance level to test the claim.

_d= _April- _September

aIdentify the null hypothesis and the alternative hypothesis. Enter answer by selecting the appropriate Roman numeral.

iHod= 0Had< 0

iiHod= 0Had> 0

iiiHod= 0Had 0

ivHod> 0Had= 0

vHod< 0Had= 0

viHod 0Had= 0

bDetermine the test statistic.

Enter answer rounded to 2 decimal places.

c)Determine the P-value for this test.

Enter answer rounded to 2 decimal places with a zero to the left of the decimal point. Do not enter answer as a percent.

d)Is there sufficient evidence to support the claim that the mean weight of the freshmen in April is greater than the mean weight in September?

Answer the question by selection and entering the appropriate Roman numeral.

iThere is insufficient evidence to support the claim.

iiThere is sufficient evidence to support the claim.

iiiThere is insufficient evidence to support either claim.