a. Explanation Given info: The margin of error is 0.02, the confidence level is 90% and educated guess is 0.1. Calculation: Sample size for estimating p: For a population proportion at ( 1 − α ) level of confidence interval which has a margin of error of at most E is obtained as, n = 0.25 ( z α 2 E ) 2 round up to the nearest whole number. For the observed value of p ^ , when an educated guess is made that is, p ^ g ( g for guess ) then n = p ^ g ( 1 − p ^ g ) ( z α 2 E ) 2 is used. If the observed value of p ^ has a likely range then the above formula is used with educated guess when the closest range for the observed value p ^ is 0.5 Here educated guess is provided therefore the formula, n = p ^ g ( 1 − p ^ g ) ( z α 2 E ) 2 is used b. To determine To compare: The sample size with the sample size one from exercise 12.33 and explain the reason for the difference, if any.

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Chapter 12.1, Problem 39E

To determine

To obtain: The sample size.

To determine

To compare: The sample size with the sample size one from exercise 12.33 and explain the reason for the difference, if any.

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Chapter 12.1, Problem 38E

Chapter 12.1, Problem 40E

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Chapter 12 Solutions

Introductory Statistics (10th Edition)

Ch. 12.1 - Why is statistical inference generally used to...Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Regarding a sample proportion: a. What is it? b....Ch. 12.1 - Regarding the phrase number of successes: a. For...Ch. 12.1 - For what is the phrase number of failures an...Ch. 12.1 - Explain the relationships among the sample...Ch. 12.1 - Prob. 9E Ch. 12.1 - Repeat parts (b)(e) of Exercise 12.9 for samples...Ch. 12.1 - Prob. 11E

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To obtain: The sample size .

Solution Summary: The author explains the sample size, the margin of error, and the educated guess.

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To obtain: The sample size.

To compare: The sample size with the sample size one from exercise 12.33 and explain the reason for the difference, if any.

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Chapter 12 Solutions