Assume that the results of a yes/no survey question given to a random sample of male and female subjects are summarized in a 2 × 2 two-way table. Use the given values of the test statistic and the significance level to test for
independence between gender and response.
-Given a test statistic of $\chi ^ { 2 } = 4.6$ and a significance level = 0.05, decide whether gender and response are related
Or not related.
A)related
B)not related

Question

Quizplus · Accepted Answer

Given the test statistic $\chi^2 = 4.6$ and a significance level of 0.05, if the calculated $\chi^2$ value is greater than the critical value from the $\chi^2$ distribution table for the appropriate degrees of freedom (which is typically the case for a significance level of 0.05), it indicates that there is a statistically significant relationship between the variables. Therefore, gender and response are related.

Assume That the Results of a Yes/no Survey Question Given χ2=4.6\chi ^ { 2 } = 4.6χ2=4.6

Assume That the Results of a Yes/no Survey Question Given $\chi ^ { 2 } = 4.6$