Please answer these questions and put them in a readable format (ex. 1a, 1b, 2a, 2b, etc...). No explanation needed.

1.

Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 m = 400 n; = 300 171 = 0.46 :72 = 0.32 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Round your critical value to 3 decimal places. to c. Develop a 95% condence interval for the difference between the two population proportions (to 4 decimals). Round your critical value to 3 decimal places. to \"Brad der the hypothesis test below. H0 =P1 P2 5 0 Ha 2111 p2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 11.1 = 200 m = 300 171 = 0.24 172 = 0.15 Use pooled estimator of p. a. What is the pvalue (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? - Select your answer - V A Businessweek/Harris poll asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of fulltime employees at your company over the next 12 months?" In the current survey, 240 of 400 executives answered Yes, while in a previous year survey, 194 of 400 executives had answered Yes. Provide a 95% condence interval estimate for the difference between the proportions at the two points in time (to 4 decimals). Do not round your intermediate calculations. to What is your interpretation of the interval estimate? Approximately - Select your answer - v more executives are predicting - Select your answer - v in fulltime jobs. The confidence interval shows the difference may be from - Select your answer - v to - Select your answer - v . Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. 3. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H0 5 P1 172 - Select your answer - v Her 5 P1 p2 - Select your answer - V b. Conduct the hypothesis test and compute the pvalue. Round your answer to four decimal places. p-value = At a = 0.05 level of significance, what is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their financial security is more than fair. 11. Reject H0. There is sufficient evidence to conclude that the population proportions are not equal. The data suggest that there has been a change in the population proportion saying that their financial security is more than fair. [11. Do not reject Hr}. There is not sufficient evidence to conclude that the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their financial security is more than fair. IV. Do not reject Ho. There is sufficient evidence to conclude that the population proportions are not equal. The data suggest that there has been a change in the population proportion saying that their financial security is more than fair. - Select your answer - V c. What is the 95% confidence interval estimate of the difference between the two population proportions? Round your answers to four decimal places. 95% Confidence Interval ( to ) A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding threeyear period. Single Policyholders Married Policyholders R1 = 465 11.2 = 740 Number making claims = 93 Number making claims = 111 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value (to 2 decimals) p-value (to 4 decimals) We that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. ( , )