A study was conducted that asked married women that had no children if they plan to have any children.  The researcher was interested in comparing the proportions that plan to have children for women married less than 5 years to those married more than 5 years.  In the samples; 240 of the 300 women married less than 5 years plan to have children compared to 288 of the 400 women married more than 5 years.  Th researcher wants to know if there a difference in the proportion that plan to have children depending on if they are married more or less than 5 years?  Minitab output provided below:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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A study was conducted that asked married women that had no children if they plan to have any children.  The researcher was interested in comparing the proportions that plan to have children for women married less than 5 years to those married more than 5 years.  In the samples; 240 of the 300 women married less than 5 years plan to have children compared to 288 of the 400 women married more than 5 years.  Th researcher wants to know if there a difference in the proportion that plan to have children depending on if they are married more or less than 5 years?  Minitab output provided below:

Method Z-Value P-Value
Normal approximation 2.43 0.015
Fisher's exact   0.017

a. State the hypotheses of interest to the researcher.

b. Write your conclusion (use alpha=.05).

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