Math Problem Solver

Question 16 (1 point)

State your conclusion to the hypothesis test.

A local retailer currently schedules employees based on the assumption that they serve customers uniformly throughout the week (the same number each day). Management is starting to question this assumption and decides to collect data on the number of customers served each day of the week to perform a Chi-Square goodness-of-fit test at a 5% significance level.

Monday

Tuesday

Wednesday

Thursday

Friday

Total

Number Served

40

33

35

32

60

200

Provided the assumptions of the test are satisfied, state your conclusion to the test.

Note: the p-value = 0.01

Question 16 options:

Cannot be determined.

There is insufficient evidence to conclude that customers are unevenly distributed throughout the week.

There is sufficient evidence to conclude that customers are unevenly distributed throughout the week.

Question 17 (1 point)

State the null and alternative hypotheses.

A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

State the Null Hypothesis.

Question 17 options:

Ho: Age and type of movie preferred are not independent.

Ha: Age and type of movie preferred are independent.

Ho: Age and type of movie preferred are independent.

Ha: Age and type of movie preferred are dependent.

Ho: Age and type of movie preferred are the same.

Ha: Age and type of movie preferred are not the same.