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For each of the following choices, explain which would result in a wider large-sample confidence interval for p. (Hint: Consider the confidence interval formula.) (a) 90% confidence level or 95% confidence level For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical value for a 95% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is larger than the z critical value for a 90% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical value for a 90% confidence interval. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical value for a 95% confidence interval. (b) n = 100 or n = 400 The sample of size n = 400 is more likely to result in a wider confidence interval because the value of p(1 - p) increases as n increases. The sample of size n = 100 is more likely to result in a wider confidence interval because the value of The sample of size n = 400 is more likely to result in a wider confidence interval because the value of The sample of size n = 100 is more likely to result in a wider confidence interval because the value of n p(1 - p) increases as n decreases. n p(1 - p) decreases as n increases. n p(1 - p) decreases as n decreases. n

For each of the following choices, explain which would result in a wider large-sample confidence interval for p. (Hint: Consider the confidence interval formula.) (a) 90% confidence level or 95% confidence level For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical value for a 95% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is larger than the z critical value for a 90% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical value for a 90% confidence interval. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical value for a 95% confidence interval. (b) n = 100 or n = 400 The sample of size n = 400 is more likely to result in a wider confidence interval because the value of p(1 - p) increases as n increases. The sample of size n = 100 is more likely to result in a wider confidence interval because the value of The sample of size n = 400 is more likely to result in a wider confidence interval because the value of The sample of size n = 100 is more likely to result in a wider confidence interval because the value of n p(1 - p) increases as n decreases. n p(1 - p) decreases as n increases. n p(1 - p) decreases as n decreases. n

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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For each of the following choices, explain which would result in a wider large-sample confidence interval for p. (Hint: Consider the confidence interval formula.) (a) 90% confidence level or 95% confidence level For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical value for a 95% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is larger than the z critical value for a 90% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical value for a 90% confidence interval. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical value for a 95% confidence interval. (b) n = 100 or n = 400 The sample of size n = 400 is more likely to result in a wider confidence interval because the value of p(1 - p) increases as n increases. The sample of size n = 100 is more likely to result in a wider confidence interval because the value of The sample of size n = 400 is more likely to result in a wider confidence interval because the value of The sample of size n = 100 is more likely to result in a wider confidence interval because the value of n p(1 - p) increases as n decreases. n p(1 - p) decreases as n increases. n p(1 - p) decreases as n decreases. n
Transcribed Image Text:For each of the following choices, explain which would result in a wider large-sample confidence interval for p. (Hint: Consider the confidence interval formula.) (a) 90% confidence level or 95% confidence level For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical value for a 95% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is larger than the z critical value for a 90% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical value for a 90% confidence interval. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical value for a 95% confidence interval. (b) n = 100 or n = 400 The sample of size n = 400 is more likely to result in a wider confidence interval because the value of p(1 - p) increases as n increases. The sample of size n = 100 is more likely to result in a wider confidence interval because the value of The sample of size n = 400 is more likely to result in a wider confidence interval because the value of The sample of size n = 100 is more likely to result in a wider confidence interval because the value of n p(1 - p) increases as n decreases. n p(1 - p) decreases as n increases. n p(1 - p) decreases as n decreases. n
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