A random group of used books was selected from book warehouse to analyze their condition. The book store believes that $30 \%$ of the books are in excellent condition, 38 are in very good condition, $19 \%$ are in fair condition, and $13 \%$ are in poor condition. Is there evidence to reject this hypothesis at $\alpha = 0.05$ ? $\begin{array} { l c c c c } \text { Book condition } & \text { Excellent } & \text { Very good } & \text { Fair } & \text { Poor } \ \text { Number of oranges } & 21 & 28 & 20 & 10 \end{array}$ A) There is not evidence to reject the claim that the books are distributed as claimed because the test value 2.110 2.110 C) There is evidence to reject the claim that the books are distributed as claimed because the test value 7.815 2.110 D) There is not evidence to reject the claim that the books are distributed as claimed because the test value 2.110

Question

A random group of used books was selected from book warehouse to analyze their condition. The book store believes that $30 \%$ of the books are in excellent condition, 38 are in very good condition, $19 \%$ are in fair condition, and $13 \%$ are in poor condition. Is there evidence to reject this hypothesis at $\alpha = 0.05$ ? $\begin{array} { l c c c c } \text { Book condition } & \text { Excellent } & \text { Very good } & \text { Fair } & \text { Poor } \ \text { Number of oranges } & 21 & 28 & 20 & 10 \end{array}$ A) There is not evidence to reject the claim that the books are distributed as claimed because the test value 2.110 < 9.488 B) There is evidence to reject the claim that the books are distributed as claimed because the test value 9.488 > 2.110 C) There is evidence to reject the claim that the books are distributed as claimed because the test value 7.815 > 2.110 D) There is not evidence to reject the claim that the books are distributed as claimed because the test value 2.110 < 7.815

Quizplus · Accepted Answer

The correct answer is based on a chi-square goodness of fit test, where the calculated chi-square value (test value) is compared to the critical value from the chi-square distribution table at a given significance level ($\alpha = 0.05$). The statement indicates that the calculated value is less than the critical value, suggesting that there is not enough evidence to reject the null hypothesis that the distribution of book conditions matches the claimed distribution.

A Random Group of Used Books Was Selected from Book 30%30 \%30%

A Random Group of Used Books Was Selected from Book $30 \%$