_.T._t_'_._._.'_.:. mMnLnAl'Iml4 '9 NNNNN 11 . [-l6 Points] You may need to use the appropriate appendix table or technology to answer this question ASWSBE1410.E.031. ASK YOUR TEACHER A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site, (a) (b) (C) Made on the social networking site Women Men Sample 150 170 Trust Recommendations 108 102 What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site (Round your answers to four decimal places.) to 12. [/10.5 Points] ASWSBE1410.E.037. ASK YOUR TEACHER l1_.. You may need to use the appropriate appendix table or technology to answer this question. 1 I 2 Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by 3 Norm. In the sample of loans collected, there are 70 loans approved by Carl (14 of which defaulted) and 80 loans approved by Norm (9 of which defaulted). 4 5 (a) State the hypothesis test that the default rates are the same for the two loan ofcers. (Let p1 : the population proportion of Carl's loans that default, and let [:2 : the population proportion of Norm's 6 loans that default. Enter != for $ as needed.) 7 3 H0: 9 1' He: 1 1 1 (b) What is the sample default proportion for Carl? 1 7 1 1 1 1' What is the sample default proportion for Norm? 1 1. l l 1. 2' (c) Use a 0.05 level of signicance. 2 2 Calculate the test statistic. (Use )31 p2. Round your answer to two decimal places.) 2 2. iii : What is the p-value? (Round your answer to four decimal places.) 2' pvalue = 2. 2. What is your conclusion? 3' 0 Do not reject H0. We cannot conclude there is a significant difference between the population default proportions in the loans approved by Carl and the loans approved by Norm. 3 3 0 Do not reject HD' We can conclude there is a significant difference between the population default proportions in the loans approved by Carl and the loans approved by Norm. : O Reject H0. We can conclude there is a significant difference between the population default proportions in the loans approved by Carl and the loans approved by Norm. O Reject H0. We cannot conclude there is a signicant difference between the population default proportions in the loans approved by Carl and the loans approved by Norm