Overdue Accounts (10 questions) A bank manager conducted an analysis on the credit card payment of new accounts [opened less than 12 months ago} and old accounts. She collected a random sample of 292 accounts to studl,f the number of customers with an overdue account. The results are summarized in the table below. Sample Size 83 209 Overdue Account 12 49 The manager believes that the proportion of overdue new accounts and the proportion of overdue old accounts are different. Bv answering the following questions. perform an appropriate test to verify the manager's belief using a 5% significance level. Question 13 (1 point) The pooled estimate (p-bar) of the proportion of overdue accounts for this test is 0.320 0.465 0.147 0.209 0.560 Question 14 (1 point) Suppose the pooled proportion of overdue accounts is 0.25. What is the standard error of the difference in proportions assuming that the null hypothesis is true? 0.513 0.124 0.056 0.087 0.021 Question 15 (1 point) Suppose the standard error of the difference in proportions, under the null hypothesis, is 0.0527. The value of the appropriate test statistic for this test is:Question 15 [1 point} Suppose the standard error of the difference in proportions, under the null hypothesis, is DDSET. The 1ralue of the appropriate test statistic for this test is: Question 16 [1 point} The critical 1uralues for this test are: 0 1.15.4 and 4.64 C) 2.33 and -2.33 O 1.5? and 4.5? O 4.23 and 1.23 O 1.96 and 4.95 Question 1? [1 point} The correct decision and conclusion for the test are: Question 13 {1 point} Regardless of vour answers to the previous questions. what would be the p-value if we assume that the test statistic value is LSD? Question 19 [1 point} Regardless of vour answer to the previous question, assume that the p-value associated with the correct test-statistic value is (LUSH. Do vou come to the same conclusion as in question 1? above? 0 No. Since p-value s {1.05. we cannot reject H0 and have a different conclusion. 0 Yes. Since p-value 3* DDS, we cannot reject H0 and come to the same conclusion. 0 Yes. Since p-value 3* CLUE, we can reject H0. and come to the same conclusion. 0 Yes. Since p-value { DDS, we can reject H and come to the same conclusion. Question 2:! {1 point} Assuming that the null hvpothesis is true and that the pooled proportion of overdue accounts is I125, calculate the corresponding 95% confidence interval to estimate the difference in proportions