A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At $= .05$, test the claim that the meal preference and the gender of the student are not related . $\begin{array}{lcc} & \text { Hamburgers } & \text { Fried Chicken } \ \text { Female } & 11 & 23 \ \text { Male } & 15 & 20 \end{array}$ A)There is evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $3.841 0.810$ B)There is evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $9.488 0.895$ C) There is not evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $0.810

Question

A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At $= .05$, test the claim that the meal preference and the gender of the student are not related . $\begin{array}{lcc} & \text { Hamburgers } & \text { Fried Chicken } \ \text { Female } & 11 & 23 \ \text { Male } & 15 & 20 \end{array}$ A)There is evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $3.841 > 0.810$ B)There is evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $9.488 > 0.895$ C) There is not evidence to reject the claim that the meal preference and the gender of the student are not . related because the test value $0.810 < 3.841$ D)There is not evidence to reject the claim that the meal preference and the gender of the student are not related because the test value $0.895 < 9.488$

Quizplus · Accepted Answer

To test the claim that meal preference and gender of the student are not related, we need to perform a chi-square test of independence. The test statistic can be found using a chi-square distribution table or a calculator. At a significance level of 0.05, with 1 degree of freedom, the critical value is 3.841. The calculated test statistic is 0.810. Since the calculated test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that meal preference and gender of the student are related. Therefore, the best choice is C.

A Study Was Performed at a University to Analyze Whether =.05= .05=.05

A Study Was Performed at a University to Analyze Whether $= .05$