Problem
Part 1 of 3 Points: 0 of 1 of 64.9 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today: (b) Suppose the P-value for this test is 0.13 . Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an $\alpha=0.10$ level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. A. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu \neq 63.7$ in. C. $H_{0}: \mu=64.9$ in. versus $H_{1}: \mu<64.9$ in. E. $H_{0}: \mu=64.9$ in. versus $H_{1}: \mu \neq 64.9$ in. B. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu>63.7$ in. D. $H_{0}: \mu=64.9$ in. versus $H_{1}: \mu>64.9$ in. F. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu<63.7$ in. Statcrunch Ask my instructor Check answer
Solution
Step 1 ：Null hypothesis: \(H_0: \mu = 64.9\) in.
Step 2 ：Alternative hypothesis: \(H_1: \mu \neq 64.9\) in.
Step 3 ：P-value = 0.13
Step 4 ：Since the P-value (0.13) is greater than the significance level (0.10), we fail to reject the null hypothesis.
Step 5 ：Conclusion: There is not enough evidence to conclude that the mean height of women today is different from 64.9 inches.
