A 90% confidence interval for a population proportion calculated using data from a random sample of size n = 51 is (0.573, 0.787). Which of the following is the 95% confidence interval calculated from the same data?
A)(0.602, 0.758)
B)(0.620, 0.740)
C)(0.553, 0.807)
D)(0.543, 0.817)
E)(0.486, 0.874)

Question

A 90% confidence interval for a population proportion calculated using data from a random sample of size n = 51 is (0.573, 0.787). Which of the following is the 95% confidence interval calculated from the same data? ​
A)(0.602, 0.758)
B)(0.620, 0.740)
C)(0.553, 0.807)
D)(0.543, 0.817)
E)(0.486, 0.874)

Quizplus · Accepted Answer

The 95% confidence interval will be wider than the 90% confidence interval due to the higher confidence level requiring a larger margin of error. Among the options, only choice C (0.553, 0.807) is wider than the given 90% interval (0.573, 0.787).

A 90% Confidence Interval for a Population Proportion Calculated Using