Chapter 11.2, Problem 60E

(a)

To determine

To explain: The relationship that exists between attendance at the religious services and alcohol consumption.

Answer to Problem 60E

The inference procedure of chi-square independence test must be used for this setting.

Explanation of Solution

Given information:

A random sample of 1000 adults was asked whether they regularly attend religious services and whether they drink alcohol daily.

A statistical test is to be conducted for determining whether there is relationship between the variables attendance at religious services and alcohol consumption.

The variables considered in the setting are categorical variables because the response for variable ‘attendance at religious services’ would be ‘present, absent’ and response for variable ‘alcohol consumption’ would be ‘Yes, No’. The relationship between two categorical variables taken from same population can be tested using chi-square independence test.

Thus, the inference procedure of chi-square independence test must be used for this setting-

(b)

To determine

To explain: the difference in the average amount of TV watched based on high school and college students.

Answer to Problem 60E

The inference procedure of two sample independent t test must be used for this setting.

Explanation of Solution

Given information:

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.

A statistical test is to be conducted for determining the estimate of difference in the average amount of TV watched by high school and college students.

Two separate random samples of 75 college students and 75 high school students are taken. It is clear that the two samples are independent. Also, there is no information that the standard deviations of two populations are known. Since the population standard deviations are not known and samples are independent, the two sample independent t test must be used.

Thus, the inference procedure of two sample independent t test must be used for this setting.