a. Explanation Given info: Out of the 61 trials in the study, 49 undergraduates can correctly match the dogs and owners and 12 undergraduates cannot correctly match the dogs and owners. Calculation: If the confidence level is at least 90% and the sample size are at least 10, then use plus four confidence interval for p with any counts of successes and failures. Here, the number of success is 49 and the number of failure is 12 ( = 61 − 49 ) . Thus, both number of successes and failures are greater than 10. Hence, the conditions for plus four method is satisfied. The plus four estimate of p is, p ˜ = actual number + 2 n + 4 = 49 + 2 61 + 4 = 51 65 = 0 .785 Thus, the plus four estimate of p is 0.785. From Standard normal table, and the critical value z * at 99% is, z * = 2.576 b. To determine To compare: The interval in part (a) with the interval in Example 22.7.

8th Edition

ISBN: 9781319123680

Author: Moore

Publisher: MAC HIGHER

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Question

Chapter 22, Problem 22.44E

To determine

To check: The conditions for the use of the plus four confidence interval are met nor not.

To construct: The 99% confidence interval for the proportion of subjects who can choose the sheet with the dogs and owners correctly matched if the conditions for the use of the plus four confidence interval are met.

To determine

To compare: The interval in part (a) with the interval in Example 22.7.

Expert Solution & Answer

Chapter 22 Solutions

BASIC PRAC OF STATISTICS+LAUNCHPAD+REE

Ch. 22.1 - Prob. 1AYK Ch. 22.1 - Prob. 2AYK Ch. 22.1 - Prob. 3AYK Ch. 22.2 - Prob. 4AYK Ch. 22.2 - Prob. 5AYK Ch. 22.2 - Prob. 6AYK Ch. 22.3 - Prob. 7AYK Ch. 22.3 - Prob. 8AYK Ch. 22.4 - Prob. 9AYK Ch. 22.4 - Prob. 10AYK

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