Chi Squared Goodness of Fit

How many degrees of freedom will be present?

• 4

• 5

• 6

• 7

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year.  She wants to know if each type of food will be equally popular so she can start ordering supplies making other plans.  To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?"  Here are the data in the table provided.  The P-value for a chi-square test for goodness of fit is 0.0129.  Which is the following is the most appropriate conclusion?

• Because 0.0129 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are equally popular.

• Because 0.0129 is less than α = 0.05, reject H₀.  There is not convincing evidence that the food choices are equally popular.

• Because 0.0129 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are not equally popular.

• Because 0.0129 is less than α = 0.05, fail to reject H₀.  There is convincing evidence that the food choices are equally popular.

For any hypothesis test, which of the following conditions would lead you to reject the null hypothesis and accept the alternative?

• The calculated p-value is less than the significance level of the test

• The calculated p-value is less than the critical value

• The calculated test statistic is less than the significance level of the test

• The calculated test statistic is less than the critical value

In both chi square tests, observed frequencies and expected frequencies are used to calculate the p-value

• True

• False

The bigger the chi square statistic, the ________ the p value.

• bigger

• smaller

In a chi square goodness of fit test, you must have

• counts for two categorical variables

• proportions for one categorical variable

• counts for one categorical variable

• proportions for two categorical variables

If a chi-squared number is 5.29 with a df of 6, what is the p-value?

• .38

• .49

• .51