QUESTION 1

Using the p-value method of hypothesis testing test the following claim at the

alpha = 0.05

significance level.

Claim: Less than 41% of students are STEM majors. Data: In a sample of 15 students 2 of them are STEM majors. Put the p-value (calculated to at least 4 decimal places of accuracy) in the answer box.

QUESTION 2

Using the p-value method of hypothesis testing test the following claim at the

alpha = 0.05

significance level.

Claim: Less than 40% of students are STEM majors. Data: In a sample of 14 students 14 of them are STEM majors. Of the following choices, which would be the best way to report the results of the hypothesis test.

1. Less than 40% of students are STEM majors (p = .9999, Exact Binomial Test)

2. Less than 40% of students are STEM majors (p = .01892, Exact Binomial Test).

3. We had expected less than 40% of students to be STEM majors. In our survey of 14 students, 14 were STEM majors (100%) and this was not statistically significant (p = .9888, Exact Binomial Test).

4. Less than 40% of students are STEM majors (p =.0099 , Exact Binomial Test).

5. We had expected less than 40% of students to be STEM majors. In our survey of 14 students, 14 were STEM majors (100%) and this was not statistically significant (p = . 9101, Exact Binomial Test).

6. We had expected less than 40% of students to be STEM majors. However, in our survey of 14 students, 14 were STEM majors (100%) which contradicted our expectations.

QUESTION 3

If we conduct a hypothesis test at the

alpha= 0.05

significance level and the p-value = .0669

the sample

(1) provides statistically significant evidence that the claim is true

(2) proves that the claim is true

(3) fails to provide statistically significant evidence that the claim is true

(4) proves that the claim is false

Put the number of the best answer in the answer box. Just the number. Do not put the parenthesis.

QUESTION 4

Using the p-value method of hypothesis testing test the following claim at the

alpha = 0.05

significance level.

Claim: Less than 40% of students are STEM majors. Data: In a sample of 15 students 3 of them are STEM majors. Of the following choices, which would be the best way to report the results of the hypothesis test.

1. Less than 40% of students are STEM majors (p = .04723, Exact Binomial Test)

2. Less than 40% of students are STEM majors (p = .02711, Exact Binomial Test).

3. Less than 40% of students are STEM majors (p = 09050, Exact Binomial Test).

4. We had expected less than 40% of students to be STEM majors. In our survey of 15 students, 3 were STEM majors (20%) and this was not statistically significant (p = .09050, Exact Binomial Test).

5. We had expected less than 40% of students to be STEM majors. In our survey of 15 students, 3 were STEM majors (20%) and this was not statistically significant (p = . 0096, Exact Binomial Test).

6. We had expected less than 40% of students to be STEM majors. However, in our survey of 15 students, 3 were STEM majors (20%) which contradicted our expectations.

QUESTION 5

Using the p-value method of hypothesis testing test the following claim at the

alpha = 0.05

significance level.

Claim: Less than 40% of students are STEM majors. Data: In a sample of 14 students 1 of them are STEM majors. Of the following choices, which would be the best way to report the results of the hypothesis test.

1. Less than 40% of students are STEM majors (p = .04723, Exact Binomial Test)

2. Less than 40% of students are STEM majors (p = .01892, Exact Binomial Test).

3. We had expected less than 40% of students to be STEM majors. In our survey of 14 students, one was a STEM major (7.3%) and this was not statistically significant (p = .0081, Exact Binomial Test).

4. Less than 40% of students are STEM majors (p =.0081 , Exact Binomial Test).

5. We had expected less than 40% of students to be STEM majors. In our survey of 14 students, one was a STEM major (7.3%) and this was not statistically significant (p = . 8101, Exact Binomial Test).

6. We had expected less than 40% of students to be STEM majors. However, in our survey of 14 students, one was a STEM major (7.3%) which contradicted our expectations.

QUESTION 7

Using the p-value method of hypothesis testing test the following claim at the

alpha = 0.05

significance level.

Claim: Less than 41% of students are STEM majors. Data: In a sample of 12 students 2 of them are STEM majors. Put the p-value (calculated to at least 4 decimal places of accuracy) in the answer box.