Use the following information for questions 1-4. Customers who participate in a store's free loyalty card program save money on their purchases, but allow the store to keep track of the customer's shopping habits and potentially sell these data to third parties. A Pew internet :51 American Life Project Survey {January 2016} revealed that 225 of a random sample of 250 U.S. adults would agree to participate in a store loyalty card program, despite the potential for information sharing. Let p represent the true proportion of all customers who would participate in the store loyalty card program. What is the value of 33? Answer to three decimal places as needed. Has the success/failure condition been met so that we can use the Normal distribution? Fill in the blanks below. [ Select ] V because there are [ Select ] V and [ Select ]Question 3 1 pts Calculate the standard error of p using SE(p) = vpq . Answer to three decimal places. Question 4 1 pts Using the unrounded values for p and SE(p ), calculate the limits of the 90% confidence interval. Answer as proportions in ascending order to four decimal places.Question 5 1 pts Use the following information to answer questions 5-7. A report shows that in 2010 the high school completion rate for the 55 64 age group was 81%. We wish to see the completion rate is the same in the 2024 age group. Assuming that the completion rate is the same, how many of this younger age group must we survey in order to estimate the proportion of grads with a margin of error of at most 8% with 90% condence? Round up to the nearest whole number. Question 6 1 pts Suppose we want to cut the margin of error to at most 4 % What is the necessary sample size? Round up to the nearest whole number. Question 7 1 pts What sample size would produce a margin of error of at most 2%? Round up to the nearest whole number. Question 8 1 pts Use the following information to answer questions 8 - 11. People were surveyed worldwide, being asked the question "How important is acquiring wealth to you?" Of 1541 respondents in country A, 1148 said that it was of more than average importance. In country B, of 1312 respondents, 596 said it was of more than average importance. What proportion of the sample from country A thought acquiring wealth was of more than average importance? Answer to three decimal places. Question 9 1 pts What proportion of the sample from country B thought acquiring wealth was of more than average importance? Answer to three decimal places. Question 10 1 pts What is the confidence interval for country A? The 99 % confidence interval for country A is ). Answer as proportions in ascending order to three decimal places.Question 11 1 pts Compare the confidence interval for country A to the confidence interval for country B. Choose the correct answer below. O It is not possible to make a comparison because the conditions for creating a confidence interval are not satisfied. O It appears that the proportion of adults who feel this way in country A is more than those in country B. O It appears that the proportion of adults who feel this way in country B is more than those in country A. O It appears that the proportion of adults who feel this way in country A is about the same as those in country B