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 Ho 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. Ho: p - Select your answer - H: p - Select your answer - 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". c. At a = 0.01, what is your conclusion? We Select your answer - v 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.

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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 \(H_0\) 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.

- \(H_0 : p\) = 0.71
- \(H_a : p\) < 0.71

**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".

\[ p\text{-value} = \]

**c.** At \(\alpha = 0.01\), what is your conclusion?

We [ ] 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.
Transcribed Image Text: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 \(H_0\) 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. - \(H_0 : p\) = 0.71 - \(H_a : p\) < 0.71 **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". \[ p\text{-value} = \] **c.** At \(\alpha = 0.01\), what is your conclusion? We [ ] 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.
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