MAT 152-03 SU 18 Homework: Section 9.3 Score: 0 of 1 pt 9.3.15 15015(2 complete)

Question

MAT 152-03 SU 18 Homework: Section 9.3 Score: 0 of 1 pt 9.3.15 15015(2 complete) HWScore: 0%, 0 of 5 pts Question Help In a survey of 1006 adults, a polling agency asked, "When you retire, do you think you will have enough money to live comfortably or not Of the 1006 surveyed, 525 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99% about having enough money to live comfortably in retirement. Click here to view the standard normal distribution table( Click here to view the standard normal distribution table (page 2), Click here to view the table of critical t-values. Click here to view the table of critical values of the chi-square distribution confidence interval for the proportion of adults who are wor d page 1) Select the correct choice below and fill in the answer boxes to complete your choice (Use ascending order. Round to three decimal places as needed.) A. There is 99% confidence that the proportion of worried adults is between-and B. 99% of the population lies in the interval between andL] C. There is a 99% probability that the true proportion of worried adults is between L-and

Explanation / Answer

Confidence interval for proportion is given by :

Lower limit = p - Z * ( p * ( 1- p ) / n )0.5

Upper limit = p + Z * ( p * ( 1- p ) / n )0.5

p = 525 / 1006 = 0.522

Z = Z alpha / 2 = Z 0.01/2 = Z0.005 = 2.5758

n = 1006

Lower limit = p - Z * ( p * ( 1- p ) / n )0.5 = 0.481

Upper limit = p + Z * ( p * ( 1- p ) / n )0.5 = 0.562

Correct option : A. There is 99% confidence that the proportion of worried adults is between 0.481 and 0.562

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