Answered: A newspaper story claims that more…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 400 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 400 house purchases were randomly selected from 5 years ago and 54 of those were made by single people. Test the newspaper’s claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper’s claim? Let singles now be Population 1 and let singles 5 years ago be Population 2.

Step 1 of 3:

State the null and alternative hypotheses for the test. Fill in the blank below.

H0: p1=p2: Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2

Step 2 of 3:

Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 3:

Draw a conclusion and interpret the decision.

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