In: Statistics and Probability
In a random sample of males, it was found that 2020 write with their left hands and 226226 do not. In a random sample of females, it was found that 6161 write with their left hands and 448448 do not. Use a 0.010.01 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 of females. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1less than
p 2p2 E. Upper H 0H0: p 1p1not equals≠p 2p2 Upper H 1H1: p 1p1equals=p 2p2 F. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 Identify the test statistic. zequals=nothing (Round to two decimal places as needed.) Identify the P-value. P-valueequals=nothing (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is ▼ greater than less than the significance level of alphaαequals=0.010.01, so ▼ fail to reject reject the null hypothesis. There ▼ is not sufficient is sufficient 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. The 9898% confidence interval is nothingless than