Consider the following contingency table, which is based on a sample survey a Write the null and alternative hypotheses for a test of independence for this table b Calculate the expected frequencies for all cells, assuming that the null hypothesis is true c For Icirc plusmn 01, find the critical value of x2 Show the rejection and non rejection regions on the chi square distribution curve d Find the value of the test statistic x2 e Using Icirc plusmn 01, would you reject the null hypothesis Row 1 Row 2 Row 3 Column 1 137 98 115 Column 2 64 71 81 Column 3 105 65 115

Question: Consider the following contingency table, which is based on a sample survey. a. Write the null and alternative hypotheses for a test of independence for

Consider the following contingency table, which is based on a sample survey.

a. Write the null and alternative hypotheses for a test of independence for this table.
b. Calculate the expected frequencies for all cells, assuming that the null hypothesis is true.
c. For Î± = .01, find the critical value of x2. Show the rejection and non-rejection regions on the chi-square distribution curve.
d. Find the value of the test statistic x2.
e. Using Î± = .01, would you reject the null hypothesis?

Row 1 Row 2 Row 3 Column 1 137 98 115 Column 2 64 71 81 Column 3 105 65 115

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