3. Interval estimation - The role of sample size in confidence intervals

Suppose you are interested in the proportion of students located in a particular school district who meet district assessment benchmarks. You randomly select a sample of students from the population of students in that school district. The sample provides a sample proportion of 0.62. You construct a 95% confidence interval for the proportion of students who meet district assessment benchmarks.

If the number of students in the sample is 100, then the confidence interval is CHOICES ARE: (0.377, 0.722), (0.522, 0.718), (0.576, 0.664), (0.558, 0.682).

If the number of students in the sample is 250, then the confidence interval is CHOICES ARE: (0.522, 0.718), (0.558, 0.682) (0.576, 0.664), (0.417, 0.826) .

As the sample size increases, the confidence interval becomes CHOICES ARE: STAYS THE SAME, BECOMES WIDER, AND becomes narrower .

Suppose you would like to have a confidence interval that is about 0.062 wide. What sample size do you need to achieve that 0.062? (Note:Select the sample size that most closely matches the desired interval width. CHOOSE PLEASE

500

1,000

250

5,000

Attempts: 2 3 Average: 2.5 / 4 3. Interval estimation - The role of sample size in confidence intervals Suppose you are interested in the proportion of students located in a particular school district who meet district assessment benchmarks. You randomly select a sample of students from the population of students in that school district. The sample provides a sample proportion of 0.62. You construct a 95% confidence interval for the proportion of students who meet district assessment benchmarks. If the number of students in the sample is 100, then the confidence interval is (0.522, 0.718) . If the number of students in the sample is 250, then the confidence interval is (0.576, 0.664) As the sample size increases, the confidence interval becomes narrower Suppose you would like to have a confidence interval that is about 0.062 wide. What sample size do you need to achieve that 0.062? (Note: Select the sample size that most closely matches the desired interval width.) O 500 O 1,000 O 250 O 5,000