QUESTION 04 (10 points)-Confidence Interval for π in Finite Population Case A cohort of 2,469 vet...
QUESTION 04 (10 points)-Confidence Interval for π in Finite Population Case A cohort of 2,469 veterans has an unknown probability of home ownership t. A simple random sample of 354 is drawn without replacement. The number of home owners in the sample is 148. (a)[2] Check if this is the finite population case. (b)[2] Check if the sampling distribution of the sample proportion can be approximately Normal (c) [3] Construct the 98% CI for the population proportion π. Sketch the CI. State if π can be 0.40. (d)[3] Construct the 95% CI for the population proportion π. Sketch the CI. State if π can be 0.50. Hint: Round off probabilities and values to 5 decimal places. Refer to some Excel value lookups: 0.950 1.64485 av 0.960 0.975 0.990 0.995 NORM.S.INV(αν) 75069 1.95996 2.32635
QUESTION 04 (10 points)-Confidence Interval for π in Finite Population Case A cohort of 2,469 veterans has an unknown probability of home ownership t. A simple random sample of 354 is drawn without replacement. The number of home owners in the sample is 148. (a)[2] Check if this is the finite population case. (b)[2] Check if the sampling distribution of the sample proportion can be approximately Normal (c) [3] Construct the 98% CI for the population proportion π. Sketch the CI. State if π can be 0.40. (d)[3] Construct the 95% CI for the population proportion π. Sketch the CI. State if π can be 0.50. Hint: Round off probabilities and values to 5 decimal places. Refer to some Excel value lookups: 0.950 1.64485 av 0.960 0.975 0.990 0.995 NORM.S.INV(αν) 75069 1.95996 2.32635