(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning. O Reject Ho. The data suggests that the difference in the true average heights exceeds 1. O Reject Ho. The data does not suggest that the difference in the true average heights exceeds 1. Fail to reject Ho. The data suggests that the difference in the true average heights exceeds 1. O Fail to reject Ho. The data does not suggest that the difference in the true average heights exceeds 1. (d) What hypotheses would be appropriate if u, referred to the older age group, /2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.? O Ho: H1 - H2 = -1 Hail - H2 - 1 OHH, - H2 = 1 H P - H2 > O Ho: H1 - H2 = 1 Hail - H2 1. O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higher than for older women. Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value =