Explanation Calculation: The given information is that, out of 100 cigarette smokers, 71 were loyal to one brand and out of 200 tooth paste user, 122 were loyal to one brand. That is, x 1 = 71 , n 1 = 100 , x 2 = 122 and n 2 = 200 . State the hypotheses: Null hypothesis: H 0 : π 1 − π 2 = 0 That is, there is no significant difference in the proportions. Alternative hypothesis: H 1 : π 1 − π 2 ≠ 0 That is, there is a significant difference in the proportions. Confidence interval: Software procedure: Step-by-step software procedure to obtain the confidence interval using MINITAB is as follows: Choose Stat > Basic Statistics > 2 Proportions

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ISBN: 9781259957598

Author: DOANE

Publisher: RENT MCG

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Chapter 10.6, Problem 35SE

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Construct a 90 percent confidence interval for the difference in proportions.

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Chapter 10.6, Problem 34SE

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Chapter 10 Solutions

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Construct a 90 percent confidence interval for the difference in proportions.

Solution Summary: The author states that the 90% confidence interval for the difference in proportions is (0.00625, 0.19375).

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Construct a 90 percent confidence interval for the difference in proportions.

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Chapter 10 Solutions