A survey of 800 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 58% of the females and 51% of the males answered clothes. The sample sizes of males and females were not provided. Suppose that of 500 females, 290 reported they buy clothing from their mobile device, while of 300 males, 153 reported they buy clothing from their mobile device. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they buy clothing from their mobile device at the 0.05 level of significance? State the null and alternative hypotheses, where it, is the population proportion of females who said they buy clothing from their mobile device and it2 is the population proportion of males who said they buy clothing from their mobile device. O A. HO: 1 # 12 OB. HO: 1 = 12 H1 : 1 > 2 H1: m1 # #12 O C. HO: my # 12 O D. HO: m1 = 12 H1: 1 2 H1 : 11 = 1 2 O E. HO: 1 = #2 OF. HO: my # #2 H1 : 1 > #2 H1: my = 12 Determine the value of the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are). (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. the null hypothesis. There is evidence to support the claim that there is a difference between males and females in the proportion who said they buy clothing from their mobile device b. Find the p-value in (a) and interpret its meaning. The p-value in part (a) is. (Type an integer or a decimal. Round to three decimal places as needed.) What does the p-value mean? O A. The p-value is the probability that the null hypothesis is true. O B. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. O C. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. O D. The p-value is the probability of falsely rejecting the null hypothesis c. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who said they buy clothing from their mobile device. The confidence interval is to . (Type integers or decimals. Round to four decimal places as needed. Use ascending order.)d. What are your answers to (a) through (c) if 162 males said they buy clothing from their mobile device? Is there evidence of a difference between males and females in the proportion who said they buy clothing from their mobile device at the 0.05 level of significance? State the null and alternative hypotheses, where , is the population proportion of females who said they buy clothing from their mobile device and #2 is the population proportion of males who said they buy clothing from their mobile device. O A. HO: T1 # 12 OB. HO: 1 = 12 H1: m1 = #2 H1: m1 1 2 O C. HO: m1 = #2 OD. HO: my # #2 H1: 1 > #2 H1: m1 1 2 OE. HO: my # 12 OF. HO: 1 = 12 H1 : 71 > #2 H1: my # #2 Determine the value of the test statistic. ZSTAT =(Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are). Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. the null hypothesis. There is evidence to support the claim that there is a difference between males and females in the proportion who said they buy clothing from their mobile device. Find the p-value and interpret its meaning. The p-value is. (Type an integer or a decimal. Round to three decimal places as needed.) What does the p-value mean? The probability of obtaining a difference in proportions that gives rise to a test statistic the is equal to the p-value if there is no difference between the population proportions of males and females who said they buy clothing from their mobile device. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who said they buy clothing from their mobile device. The confidence interval is to]. Type integers or decimals. Round to four decimal places as needed. Use ascending order.)What does the confidence interval mean? A researcher can be confident that the difference in the population proportions of males and females who said they buy clothing from their device is the interval
