Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations. Sample Selected From Population 1 Population 2 Population 3 Population 4 Row 1 37 87 111 54 Row 2 24 56 79 115 Row 3 38 40 62 118 a. Write the null and alternative hypotheses for a test of homogeneity for this table. Ho: The proportion in each row is H1: The proportion in each row is for all four populations. for all four populations. b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Population 1 Row 1 Row i 2 Row i i 3 Total Population 2 Population 3 Population 4 Total i c. For a = 0.025, find the critical value of x. Specify the rejection and nonrejection regions on the chi-square distribution curve. Enter the exact answer from the chi-square distribution table. The rejection region is of the critical value of x². The nonrejection region is d. Find the value of the test statistic x². Round your answer to three decimal places. The value of the test statistic x² is i of the critical value of x². e. Using a = 0.025, would you reject the null hypothesis?
Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations. Sample Selected From Population 1 Population 2 Population 3 Population 4 Row 1 37 87 111 54 Row 2 24 56 79 115 Row 3 38 40 62 118 a. Write the null and alternative hypotheses for a test of homogeneity for this table. Ho: The proportion in each row is H1: The proportion in each row is for all four populations. for all four populations. b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Population 1 Row 1 Row i 2 Row i i 3 Total Population 2 Population 3 Population 4 Total i c. For a = 0.025, find the critical value of x. Specify the rejection and nonrejection regions on the chi-square distribution curve. Enter the exact answer from the chi-square distribution table. The rejection region is of the critical value of x². The nonrejection region is d. Find the value of the test statistic x². Round your answer to three decimal places. The value of the test statistic x² is i of the critical value of x². e. Using a = 0.025, would you reject the null hypothesis?
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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Transcribed Image Text:Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from
four populations.
Sample Selected From
Population 1 Population 2 Population 3 Population 4
Row 1 37
87
111
54
Row 2 24
56
79
115
Row 3 38
40
62
118
a. Write the null and alternative hypotheses for a test of homogeneity for this table.
Ho: The proportion in each row is
H1: The proportion in each row is
for all four populations.
for all four populations.
b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true.
Round your answers to three decimal places, where required.
Population 1
Row
1
Row
i
2
Row
i
i
3
Total
Population 2
Population 3
Population 4
Total
i
c. For a = 0.025, find the critical value of x. Specify the rejection and nonrejection regions on the chi-square
distribution curve.
Enter the exact answer from the chi-square distribution table.
The rejection region is
of the critical value of x².
The nonrejection region is
d. Find the value of the test statistic x².
Round your answer to three decimal places.
The value of the test statistic x² is i
of the critical value of x².
e. Using a = 0.025, would you reject the null hypothesis?
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