Chapter 11.2, Problem 62E

a)

To determine

To explain which test will be applicable from inference.

Answer to Problem 62E

Chi-square test of independence should be used.

Explanation of Solution

Given:

Is there a relationship between attendance at religious services and alcohol consumption? A random sample of 1000 adults was asked whether they regularly attend religious services and whether they drink alcohol daily.

First, we need to list which hypothesis tests we learnt.

Z-test or interval of proportion for one sample. Z-test or interval of proportion for two sample. T-test or interval of mean for one sample. T-test or interval of mean for two sample. Paired t-test of mean for two sample. Chi-square test of independence or Homogeneity.

For given example, need to examine relationship between attendance at religious services and alcohol consumption. Therefore, chi-square test of independence should be used.

b)

To determine

To explain which test will be applicable from inference.

Answer to Problem 62E

The t- test for two sample for the mean difference should be used.

Explanation of Solution

Given:

Separate random samples of 75 college students and 75 high school students were asked how much time, on average, they spend watching television each week. We want to estimate the difference in the average amount of TV watched by high school and college students.

First, we need to list which hypothesis tests we learnt.

Z-test or interval of proportion for one sample. Z-test or interval of proportion for two sample. T-test or interval of mean for one sample. T-test or interval of mean for two sample. Paired t-test of mean for two sample. Chi-square test of independence or Homogeneity.

For given example, need to check difference between two averages of two samples. Therefore, t- test for two sample for the mean difference should be used.