Question

Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations. \begin{tabular}{|l|l|l|l|l|} \hline \multirow{2}{*}{} & \multicolumn{4}{|l|}{ Sample Selected From } \\ \cline { 2 - 5 } & Population 1 & Population 2 & Population 3 & Population 4 \\ \hline Row 1 & 36 & 83 & 109 & 61 \\ \hline Row 2 & 28 & 58 & 81 & 112 \\ \hline Row 3 & 29 & 47 & 68 & 115 \\ \hline \end{tabular} a. Write the null and alternative hypotheses for a test of homogeneity for this table. \( H_{0} \) : The proportion in each row is \( \square \) for all four populations. \( H_{1} \) : The proportion in each row is \( \square \) for all four populations. b. Calculate the expected frequencies for all cells assuming that the null fypothesis is true. Round your answers to three decimal places, where required.

          Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations.
\begin{tabular}{|l|l|l|l|l|}
\hline \multirow{2}{*}{} & \multicolumn{4}{|l|}{ Sample Selected From } \\
\cline { 2 - 5 } & Population 1 & Population 2 & Population 3 & Population 4 \\
\hline Row 1 & 36 & 83 & 109 & 61 \\
\hline Row 2 & 28 & 58 & 81 & 112 \\
\hline Row 3 & 29 & 47 & 68 & 115 \\
\hline
\end{tabular}
a. Write the null and alternative hypotheses for a test of homogeneity for this table.
\( H_{0} \) : The proportion in each row is \( \square \) for all four populations.
\( H_{1} \) : The proportion in each row is \( \square \) for all four populations.
b. Calculate the expected frequencies for all cells assuming that the null fypothesis is true.

Round your answers to three decimal places, where required.

Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four populations.

2* 4|l| Sample Selected From

2 - 5 Population 1 Population 2 Population 3 Population 4

Row 1 36 83 109 61

Row 2 28 58 81 112

Row 3 29 47 68 115

a. Write the null and alternative hypotheses for a test of homogeneity for this table.
H0 : The proportion in each row is □ for all four populations.
H1 : The proportion in each row is □ for all four populations.
b. Calculate the expected frequencies for all cells assuming that the null fypothesis is true.

Round your answers to three decimal places, where required.

Added by Claudia M.

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