Problem 5BSC

In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.

Quality Family Time The accompanying STATDISK display shows results from the claim and data given in Exercise 1. Test that claim.

Exercise 1

Quality Family Time The table below lists days of the week selected by a random sample of 1005 subjects who were asked to identify the day of the week that is best for quality family time (based on results from a Pillsbury survey reported in USA Today). Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. If we test that claim using the goodness-of-fit test described in this section, what is it that we actually test?

Sun |
Mon |
Tues |
Wed |
Thurs |
Fri |
Sat |

523 |
20 |
9 |
19 |
11 |
41 |
382 |

Solution 5BSC

For the available information we set up the null and alternative.

: The days of the week are selected with uniform.

: The days of the week are selected with not uniform.

Level of significance is not specified. So the decision should be based on critical value.

From the STATDISK output, the test statistic value , is greater than the critical value, . So we reject the null hypothesis.

There is enough evidence to support the rejection of the claim that the days of the week are selected with uniform.