In a random sample ofmales, it was found that 25 write with their left hands and 215 do not In a random sample offemales, it was found that 72 write with their left hands and 447 do not Use a 0 01 significance level to test the claim that the rate ofleft handedness among males is less than that among females Complete parts(a) through(c) below a Test the claim using a hypothesis test Consider the first sample to be the sample of males and the second sample to be the sample of females What are the null and alternative hypotheses for the hypothesistest A H0 p1 p2 H1 p1 p2 C H0 p1 p2 H1 p1p2 D H0 p1p2 H1 p1p2 E H0 p1p2 H1 p1p2 F H0 p1p2 H1 p1 p2 Identify the test statistic z nothing (Round to two decimal places asneeded ) Identify theP value P value nothing (Round to three decimal places asneeded ) What is the conclusion based on the hypothesistest TheP value is greater than less than the significance level of 0 01, so fail to reject reject the null hypothesis There is not sufficient is sufficient evidence to support the claim that the rate ofleft handedness among males is less than that among females b Test the claim by constructing an appropriate confidence interval The 98 confidence interval is nothing

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Question: In a random sample ofmales, it was found that 25 write with their left hands and 215 do not. In a random sample offemales, it

In a random sample ofmales, it was found that 25 write with their left hands and 215 do not. In a random sample offemales, it was found that 72 write with their left hands and 447 do not. Use a 0.01 significance level to test the claim that the rate ofleft-handedness among males is less than that among females. Complete parts(a) through(c) below.

a. Test the claim using a hypothesis test.

Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesistest?

H0: p1=p2

H1: p1

H0: p1=p2

H1: p1>p2

H0: p1=p2

H1: p1p2

H0: p1p2

H1: p1p2

H0: p1p2

H1: p1p2

H0: p1p2

H1: p1=p2

Identify the test statistic.

nothing

(Round to two decimal places asneeded.)

Identify theP-value.

P-value=

nothing

(Round to three decimal places asneeded.)

What is the conclusion based on the hypothesistest?

TheP-value is

greater than

less than

the significance level of =0.01, so

fail to reject

reject

the null hypothesis. There

is not sufficient

is sufficient

evidence to support the claim that the rate ofleft-handedness among males is less than that among females.

b. Test the claim by constructing an appropriate confidence interval.

The 98% confidence interval is

nothing

(Round to three decimal places asneeded.)

What is the conclusion based on the confidenceinterval?

Because the confidence interval limits

include

do not include

0, it appears that the two rates ofleft-handedness are

equal.

not equal.

There

is not sufficient

is sufficient

evidence to support the claim that the rate ofleft-handedness among males is less than that among females.

c. Based on theresults, is the rate ofleft-handedness among males less than the rate ofleft-handedness amongfemales?

The rate ofleft-handedness among males doesnot appear to be less than the rate ofleft-handedness among females.

The rate ofleft-handedness among males does appear to be less than the rate ofleft-handedness among females because the results are statistically significant.

The rate ofleft-handedness among males does appear to be less than the rate ofleft-handedness among females because the results are not statistically significant.

The results are inconclusive.

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