A random group of desktop computer sales was selected from an electronic discount chain to analyze the size of monitor purchased with the computer. Is there evidence to reject the hypothesis that the number of monitors is equally distributed between the five types, at $\alpha = 0.05$ ? $\begin{array} { c c c c c c } \text { Monitor type } & 15 ^ { \prime \prime } \text { CRT } & 15 ^ { \prime \prime } \text { flat panel } & 17 ^ { \prime \prime } \text { CRT } & 17 ^ { \prime \prime } \text { flat panel } & 19 ^ { \prime \prime } \mathrm { Cl } \ \text { Number of sales } & 13 & 23 & 13 & 10 \end{array}$ A) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.940 11.070 B) There is not evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 11.070

Question

A random group of desktop computer sales was selected from an electronic discount chain to analyze the size of monitor purchased with the computer. Is there evidence to reject the hypothesis that the number of monitors is equally distributed between the five types, at $\alpha = 0.05$ ? $\begin{array} { c c c c c c } \text { Monitor type } & 15 ^ { \prime \prime } \text { CRT } & 15 ^ { \prime \prime } \text { flat panel } & 17 ^ { \prime \prime } \text { CRT } & 17 ^ { \prime \prime } \text { flat panel } & 19 ^ { \prime \prime } \mathrm { Cl } \ \text { Number of sales } & 13 & 23 & 13 & 10 \end{array}$ A) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.940 > 11.070 B) There is not evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 11.070 < 9.940 C) There is not evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.488 < 9.940 D) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.940 > 9.488

Quizplus · Accepted Answer

The correct answer is based on the calculation of the chi-square test value and comparing it with the critical value from the chi-square distribution table for the given degrees of freedom (df = number of categories - 1 = 5 - 1 = 4) at the specified significance level ($\alpha = 0.05$). The test value (9.940) exceeding the critical value (9.488) indicates that the null hypothesis (that the monitors are equally distributed) can be rejected.

A Random Group of Desktop Computer Sales Was Selected from an Electronic