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Chapter 1, Problem 17BSC

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QUESTION:

Testing Claims About Proportions. In Exercises 7–18, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-­value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.

Lefties In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 65 write with their left hands and 455 do not (based on data from “The Left­-Handed: Their Sinister History,” by Elaine Fowler Costas, Education Resources Information Center, Paper 399519). We want to use a 0.01 significance level to test the claim that the rate of left-­handedness among males is less than that among females.

a. Test the claim using a hypothesis test.

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

c. Based on the results, is the rate of left­-handedness among males less than the rate of left­-handedness among females?

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QUESTION:

Testing Claims About Proportions. In Exercises 7–18, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-­value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.

Lefties In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 65 write with their left hands and 455 do not (based on data from “The Left­-Handed: Their Sinister History,” by Elaine Fowler Costas, Education Resources Information Center, Paper 399519). We want to use a 0.01 significance level to test the claim that the rate of left-­handedness among males is less than that among females.

a. Test the claim using a hypothesis test.

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

c. Based on the results, is the rate of left­-handedness among males less than the rate of left­-handedness among females?

ANSWER:

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