Pearson's chi square test (goodness of fit) | Probability and Statistics | Khan Academy

What is the null hypothesis (H0) for the hypothesis test?

• The owner's distribution of customers is correct.

• The owner's distribution of customers is incorrect.

• The observed customer distribution is significantly different from the expected.

• The restaurant will have more customers on weekends.

What significance level (alpha) is used for the hypothesis test?

• 0.01

• 0.05

• 0.10

• 0.20

What is the total number of observed customers for the week?

• 180

• 200

• 220

• 250

Based on the owner's expected distribution and the total observed customers, what is the expected number of customers for Wednesday?

• 20

• 30

• 34

• 40

Which formula is used to calculate the Chi-square statistic?

• Sum of (Observed + Expected)^2 / Expected

• Sum of (Observed - Expected)^2 / Observed

• Sum of (Observed - Expected)^2 / Expected

• Sum of (Observed - Expected) / Expected

What is the value of the first term in the Chi-square statistic calculation, given an observed value of 30 and an expected value of 20?

• 10

• 5

• 20

• 100

If there are 6 categories in a Chi-square goodness-of-fit test, what are the degrees of freedom?

• 6

• 5

• 7

• 1

If the calculated Chi-square statistic is 11.44 and the critical Chi-square value for the given significance level and degrees of freedom is 11.07, what is the conclusion of the hypothesis test?

• Fail to reject the null hypothesis.

• Reject the null hypothesis.

• The data is inconclusive.

• The expected distribution is correct.