a) Is there evidence that the sex of the person and whether they buy books online are?associated? State the null and alternative hypotheses. Choose the correct answer below.

A survey of 425 randomly chosen adults finds that 49 of 223 men and 37 of 202 women had purchased books online. Complete parts a through c below. a) Is there evidence that the sex of the person and whether they buy books online are associated? State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The proportions of online book purchases are the same for men and women. HA: The proportions of online book purchases are different for men and women. O B. Ho: The proportions of online book purchases are different for men and women. HA: The proportions of online book purchases are the same for men and women. O C. Ho: The proportions of online book purchases are different for math and science. HA: The proportions of online book purchases are the same for math and science. O D. Ho: The proportions of online book purchases are the same for math and science. HA: The proportions of online book purchases are different for math and science. Determine the x statistic. 12 =(Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Is there evidence that the sex of the person and whether they buy books online are associated? Fail to reject Ho. There is insufficient evidence to conclude that either men or women are more likely to make online purchases of books. b) If your conclusion in fact proves to be wrong, did you make a Type I or Type II error? Choose the correct answer below. O A. Since the null hypothesis was rejected, a Type | error occurred. O B. Since the null hypothesis was not rejected, a Type I error occurred. O C. Since the null hypothesis was not rejected, a Type II error occurred. O D. Since the null hypothesis was rejected, a Type II error occurred. c) Give a 90% confidence interval for the positive difference in proportions of buying online for men and women. The confidence interval is (D) (Round to four decimal places as needed. Use ascending order.)