Explanation Given info: In the survey, 43 students were given one dollar in the form of four quarters and 46 students were given one dollar as a dollar bill. The students have either two options (1) keep the money (2) spending the money to buy gum. The table is given below: Purchased Gum Kept the Money Students given four quarters 27 16 Students given One dollar bill 12 34 Calculation: Calculation for Chi-square test statistic: Software procedure: Step-by-step procedure to obtain Chi-square Goodness-of-Fit for One Variable using the MINITAB software: Choose Stat > Tables > Chi-Square Test (Two-Way in Worksheet) . In Columns containing tables , enter the corresponding columns of Purchased Gum, Kept the Money . Click OK . Output using the MINITAB software is given below: Thus, the test statistic is 12.2 and the P -value is 0.000 Critical value for chi-square test statistic: The critical value is calculated by using the ( r − 1 ) ( c − 1 ) degrees of freedom. Substitute r as 2 and c as 2 in degrees of freedom. ( 2 − 1 ) ( 2 − 1 ) = 1 From TABLE A-4, “Chi-Square ( χ 2 ) Distribution”, the critical value for 1 degree of freedom for α = 0.05 level of significance is 3.841. Calculation for the test of difference between two proportions : Software Procedure: Step-by-step procedure to obtain the test statistic and P -value using the MINITAB software: Choose Stat > Basic Statistics > 2 Proportions

5th Edition

ISBN: 9780321924599

Author: Mario F. Triola

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 11.3, Problem 21BB

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To verify: The χ2 test statistic is equal to z2.

To show: The critical values of χ2 is equal to z2.

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Chapter 11.3, Problem 20BSC

Chapter 11.3, Problem 22BB

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To verify: The χ 2 test statistic is equal to z 2 . To show: The critical values of χ 2 is equal to z 2 .

Solution Summary: The author explains that the test statistic is equal to z2, and the critical value is 0.000.

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To verify: The χ2 test statistic is equal to z2.

To show: The critical values of χ2 is equal to z2.

Want to see the full answer?

Chapter 11 Solutions

To verify: The χ 2 test statistic is equal to z 2 . To show: The critical values of χ 2 is equal to z 2 .

Solution Summary: The author explains that the test statistic is equal to z2, and the critical value is 0.000.

Concept explainers

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To verify: The χ2 test statistic is equal to z2. To show: The critical values of χ2 is equal to z2.

Want to see the full answer?

Chapter 11 Solutions

To verify: The χ2 test statistic is equal to z2.

To show: The critical values of χ2 is equal to z2.