Chi Squared

What is the expected value of a female who likes Pepsi?

• 10.5

• 11

• 14.5

• 6.3

Tags

CCSS.HSS.MD.B.5B

What is the

χ² _calculated value for the following situation.

• 6.65

• .00665

• 0.00991

• 1

What are the degrees of freedom for the following χ² test?

• 6

• 2

• 5

• 12

Chi-squared tests are invalid if:

• The calculated number is really large

• One of the expected values is less than 5

• One of the observed values is less than 5

• The calculated numbers is really small

Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Latinx, 12% are African American, 8% are Asian, and the rest are defined as other.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Independence/Association

• Not a Chi-square test

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

• bigger
• smaller

The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?

• yes, the p value is greater than .05
• no evidence, the p value is less than .05
• yes, the p value is less than .05
• no evidence, the p value is greater than .05

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.

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

• .38

• .49

• .51

Is the type of television show that a person chooses to watch related to the brand of deodorant that a person uses? 1500 people were surveyed.

• Chi-square Goodness of Fit Test

• Chi-Square Test for Independence

• Chi-squared test for correlation

• Not a Chi-square test