8 In a random sample of males, it was found that 25 write with their left hands and 223 do not. In a random sample of females, it was found that 73 write with their left hands and 462 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that amongfemales. 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 hypothesis test?OC. Ho: P1 sP2H,: P, # P2O F. Ho: P1 + P2H1: P1 = P2О А. Но: Р1 P2H1: P1 P2O E. Ho: P1 2 P2H1:P1 # P2D. Ho: P1 = P2H1: P1 # P2Identify the test statistic.Z=(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 isv] the significance level of a = 0.01, sov the null hypothesis. Therev evidence to 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.J< (P1 -P2) <The 98% confidence interval is(Round to three decimal places as needed.)What is the conclusion based on the confidence interval?Because the confidence interval limitsV thereto be a significant difference between the rates of left-handedness among males and females. Therev evidence to support the claim that the rate of left-handedness among males is lessthan that among females.c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?A. It is reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.B. It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.O C. It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females.D. The assumptions required for the tests are not valid, so the results should not be used for inference.

Name: 8 In a random sample of males, it was found that 25 write with their l
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Description: 8 In a random sample of males, it was found that 25 write with their left hands and 223 do not. In a random sample of females, it was found that 73 write with their left hands and 462 do not. Use a 0.01 significance level to test the claim that the r