In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement. a. Develop appropriate hypotheses such that rejection of Hy will support the conclusion that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66 69 age group who did not complete high school than it is for the population of the 66 69 age group. Hy: p| greater than or equal to 0.71 v @ Ha: P | less than 0.71 v @ b. In a random sample of 300 people from the 66 69 age group who did not complete high school, 165 were not prepared financially for retirement. What is the p-value for your hypothesis test (to 4 decimals)? If your answer is zero, enter "0". Q c. At a = 0.01, what is your conclusion? We w that the percentage of 66 69 year old individuals who are adequately prepared financially for retirement is smaller for those who did not complete high school. Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all its credit card customers. This promotion will be considered a success if more than 10% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers. Click on the datafile logo to reference the data. DATA i a. Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. Hu . P | less than or equal to 0.10 v @ H,: p| greater than 0.10 b. The file Eagle contains the sample data. Develop a point estimate of the population proportion (to 2 decimals). Q c. Use a = 0.05 to conduct your hypothesis test. Should Eagle go national with the promotion? No, Eagle should not go national with the promotion; a larger sample should be taken V| @ According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data for the sale of 40 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Round your answer to four decimal places. p-value = 0 Use a = 0.05 for the level of significance, and state your conclusion. 1. Reject Hy. There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County. II. Reject Hy. There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County. II1. Do not reject Hy. There is a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County. IV. Do not reject Hy. There is not a statistically significant difference between the national average time to sell a home and the mean time to sell a home in Greene County. Choose the correct option. v vw