13. Chi-Square Tests & Goodness of Fit

Which of the following is not a characteristic of the $\chi ^2$ distribution?

In a chi-square goodness of fit test, what does the null hypothesis ($H\_0$) specify about the population proportions or frequencies?

Which of the following lists the requirements that must be met to perform a $\chi ²$ goodness-of-fit test?

In a chi-square goodness of fit test for absences across days of the week, if the observed number of absences on Monday is $O$ and the expected number is $E$, what is the contribution of the Monday absences to the calculation of the chi-square test statistic?

A scientist conducts a chi-square goodness of fit test with $4$ categories and obtains observed frequencies of $18$, $22$, $20$, and $20$. The expected frequency for each category is $20$. Which of the following values is closest to the chi-square value the scientist calculated?

Which of the following is not a characteristic of the $\chi ^2$ distribution?

Which of the following is not a characteristic of the $\chi ^2$ distribution?

Which of the following is an appropriate description of the $\chi -\mathrm{square}$ distribution?

Which of the following best describes the purpose of the $\chi ²$ goodness of fit test in statistics?

A gym owner wants to know if the gym has similar numbers of members across different age groups. The table shows the distribution of ages for members from a random survey. Write the null & alt. hypotheses to test the claim that the gym has equal numbers of members across all age groups.

Which of the following best describes the null hypothesis of a $\chi 2^{ }$ goodness of fit test?

Which of the following is not a requirement to conduct a $\chi ²$ goodness-of-fit test?

In a Chi Square Goodness of Fit Test, how do you calculate the expected value for each category?

Which of the following best describes the possible values for a chi-square statistic in a goodness of fit test?

A gym owner wants to know if the gym has similar numbers of members across different age groups. The table shows the distribution of ages for members from a random survey. Using x² = 0.92 & α = 0.05, test the claim that the gym has equal numbers of members of all age ranges.