Level 1 | Level 2 | Level 3 | Level 4 | |

Group A | 25 | 10 | 5 | 2 |

Group B | 5 | 20 | 10 | 15 |

This contingency table summarizes a sample of two groups of students in a remedial reading program. Each student was evaluated as being at one of four possible reading levels. Conduct a*χ*^{2}^{ }test for homogeneity to see if the two groups are similar. Select the appropriate critical value (CV), test statistic (TS), and decision. (Use*α*= 0.05.)

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CV = 9.3484, TS = 27.7890, reject*H*_{0}

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CV = 7.8147, TS = 10.5698, reject*H*_{0}

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CV = 7.8147, TS = 27.7890, reject*H*_{0}

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CV = 15.5073, TS = 10.5698, fail to reject*H*_{0}