Consider the following contingency table that is based on a sample survey. Column 1 Column 2 Column 3 Row 1 138 89 79 Row 2 93 50 89 Row 3 122 78 113 a. Write the null and alternative hypotheses for a test of independence for this table. Ho: Rows and columns are independent H: Row and columns are dependent b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Column 1 Column 2 Column 3 Total Row 1 126.931 78.028 101.041 306 Row 2 96.235 J232 59.159 76.606 Row 3 129.834 79.813 103.353 313 Total 353 217 281 851 c. For a = 0.01, find the critical value of x. Specify the rejection and nonrejection regions on the chi-square distribution curve.

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STANE
Consider the following contingency table that is based on a sample survey.
Column 1
Column 2
Column 3
Row 1
138
89
79
Row 2
93
50
89
Row 3
122
78
113
a. Write the null and alternative hypotheses for a test of independence for this table.
Ho: Rows and columns are
independent v
H: Row and columns are
dependent v
b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true.
Round your answers to three decimal places, where required.
Column 1
Column 2
Column 3
Total
Row 1
126.931
78.028
101.041
306
Row 2
96.235
59.159
I|76.606
232
Row 3
129.834
79.813
103.353
313
Total
353
217
281
851
c. For a = 0.01, find the critical value of x. Specify the rejection and nonrejection regions on the chi-square distribution curve.
bien teble
Transcribed Image Text:STANE Consider the following contingency table that is based on a sample survey. Column 1 Column 2 Column 3 Row 1 138 89 79 Row 2 93 50 89 Row 3 122 78 113 a. Write the null and alternative hypotheses for a test of independence for this table. Ho: Rows and columns are independent v H: Row and columns are dependent v b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Column 1 Column 2 Column 3 Total Row 1 126.931 78.028 101.041 306 Row 2 96.235 59.159 I|76.606 232 Row 3 129.834 79.813 103.353 313 Total 353 217 281 851 c. For a = 0.01, find the critical value of x. Specify the rejection and nonrejection regions on the chi-square distribution curve. bien teble
b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true.
Round your answers to three decimal places, where required.
Column 1
Column 2
Column 3
Total
Row 1
126.931
78.028
101.041
306
Row 2
96.235
59.159
76.606
232
Row 3
129.834
79.813
103.353
313
Total
353
217
281
851
c. For a = 0.01, find the critical value of y. 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 x.
The nonrejection region is
| of the critical value of x.
d. Find the value of the test statistic .
Round your answer to three decimal places.
The value of the test statistic x is
e. Using a = 0.01, would you reject the null hypothesis?
Transcribed Image Text:b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. Round your answers to three decimal places, where required. Column 1 Column 2 Column 3 Total Row 1 126.931 78.028 101.041 306 Row 2 96.235 59.159 76.606 232 Row 3 129.834 79.813 103.353 313 Total 353 217 281 851 c. For a = 0.01, find the critical value of y. 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 x. The nonrejection region is | of the critical value of x. d. Find the value of the test statistic . Round your answer to three decimal places. The value of the test statistic x is e. Using a = 0.01, would you reject the null hypothesis?
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