In a random sample of males, it was found that 25 write with their left hands and 218 do not. In a random sample of females, it was found that 63 write with their left hands and 448 do not. Use a 0.01 significance level to test the claim that the rate of left-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 females. What are the null and alternative hypotheses for the hypothesis test? OC. Hg: P1 = P2 O A. Ho: P1 +P2 H:P, = P2 O B. Ho: P1 SP2 H:P, +P2 H: P1 P2 OF. Ho: P, 2 P2 O D. Ho: P1 =P2 H,: P, P2 H: P, P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is v the significance level of a = 0.01, so v the null hypothesis. There v evidence support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P, -P2) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits v there v to be a significant difference between the rates of left-handedness among males and females. There v evidence to support the claim that the rate of left-handedness among males is less than that among females.

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?