Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.1 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 0.09. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a = 0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. O A. Ho: H= 63.7 in. versus H,: p #63.7 in. O B. Ho: H = 63.7 in. versus H,: H 64.1 in. OF. Ho: H= 63.7 in. versus H,: H > 63.7 in. (b) Suppose the P-value for this test is 0.09. Explain what this value represents. O A. There is a 0.09 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.1 inches. O B. There is a 0.09 probability of obtaining a sample mean height of 64.1 inches or shorter from a population whose mean height is 63.7 inches. O C. There is a 0.09 probability of obtaining a sample mean height of exactly 64.1 inches from a population whose mean height is 63.7 inches. O D. There is a 0.09 probability of obtaining a sample mean height of 64.1 inches or taller from a population whose mean height is 63.7 inches.(c) Write a conclusion for this hypothesis test assuming an a = 0.05 level of significance. O A. Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. O B. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. O C. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. O D. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today