In a random sample of​ males, it was found that write with their left hands and do not. In a random sample of​ females, it was found that write with their left hands and do not. Use a 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 of females. What are the null and alternative hypotheses for the hypothesis test?
A. H0: p1 = p2 H1: p1 > p2
B. H0: p1 ≥ p2 H1: p1 ≠ p2
C. H0: p1 = p2 H1: p1 ≠ p2
D. H0: p1 ≠ p2 H1: p1 = p2
E. H0: p1 = p2 H1: p1 < p2
F. H0: p1 ≤ p2 H1:p1 ≠ p2
Identify the test statistic.
Identify the P-value.
What is the conclusion based on the hypothesis test?
The P-value isthe significance level of alpha = 0.05, sothe null hypothesis. Thereevidence 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.
The 90% confidence interval is.
What is the conclusion based on the confidence interval?
Because the confidence interval limits0, it appears that the two rates of left handedness are. Thereevidence to support the claim that the rate of left-handedness among males is less than that among females.
Based on the​ results, is the rate of​ left-handedness among males less than the rate of​ left-handedness among​females?
A. The rate of​ left-handedness among males does appear to be less than the rate of​left-handedness among females because the results are statistically significant.
B. The rate of​ left-handedness among males does not appear to be less than the rate of​left-handedness among females.
C. The rate of​ left-handedness among males does appear to be less than the rate of​left-handedness among females because the results are not statistically significant.
D. The results are inconclusive.