(a) Explanation Calculation: The survey conducted by the Pew research on a sample of 2,303 American adults reports that 921 adults were active in a church, religious or spiritual organization. Conditions for inference: For a given dataset, the inference for a given characteristic can be obtained reasonably, if some conditions are satisfied. Conditions: Randomization condition: Sample should be selected at random to ensure independence. 10% condition: The sample drawn should be less than 10% of the population. Success/Failure Condition: Both n p ^ and n q ^ should be greater than or equal to 10. Where, n be the number of samples, p ^ be the sample proportion and q ^ = 1 − p ^ . Verify the condition: Here, the sample of 2,303 American adults was assumed to be selected at random and ensured that they are independent of each other. 10% condition: It is evident that the size of 2,303 American adults is much less than 10% of the whole concerned population from which the samples have been collected. Success/Failure Condition: The sample proportion of American adults who are active in church, religious or spiritual organization is: p ^ = x n Where, x denotes the number of American adults who are active in church, religious or spiritual organization and n be the sample size . Substitute x = 921 , n = 2 , 303 , p ^ = 921 2 , 303 = 0 (b) To determine Interpret the result. (c) To determine Explain the meaning of 95% confidence.

4th Edition

ISBN: 9780321826275

Author: Richard D. De Veaux

Publisher: PEARSON

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Chapter R, Problem 5.22RE

(a)

To determine

Find the 95% confidence interval for the proportion of all Americans adults who are active in a church, religious or spiritual organization.

(b)

To determine

Interpret the result.

(c)

To determine

Explain the meaning of 95% confidence.

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Chapter R, Problem 5.21RE

Chapter R, Problem 5.23RE

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