two population proportions. H0 : p1−p2 ? 0 H1 : p1−p2 ? 0 b. Calculate the test statistic. z= Round to two decimal places if necessary Enter 0 if normal approximation cannot be used c. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.01�=0.01. = Round to two decimal places if necessary Enter 0 if normal approximation cannot be used

two population proportions. H0 : p1−p2 ? 0 H1 : p1−p2 ? 0 b. Calculate the test statistic. z= Round to two decimal places if necessary Enter 0 if normal approximation cannot be used c. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.01�=0.01. = Round to two decimal places if necessary Enter 0 if normal approximation cannot be used

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Do you prefer e-textbooks over print textbooks? Responses for random samples of 'young students' and 'mature students' are summarized below.

	Young Students	Mature Students
Prefer e-textbook	119	108
Sample Size	280	200

Standard Normal Distribution Table

a. State the hypotheses for testing if a significant difference exists between the two population proportions.

H0 : p1−p2 ? 0

H1 : p1−p2 ? 0

b. Calculate the test statistic.

Round to two decimal places if necessary

Enter 0 if normal approximation cannot be used

c. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.01�=0.01.

Round to two decimal places if necessary

Enter 0 if normal approximation cannot be used

d. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

Cannot Use Normal Approximation

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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