Chapter 26, Problem 32E

a)

To determine

To explain whether this is a survey, retrospective study, prospective studyor an experiment.

Answer to Problem 32E

It is a survey.

Explanation of Solution

Given:

  

Experimental study: Assigning people or things to groups and applying some treatment to one group, while the other group does not receive the treatment.

Observation study: In an observational study, measure or survey members of a sample without trying to affect them.

There are two types of Observational study:

Retrospective: The data are collected from the past by going back in time.

Prospective: The data are collected in the future.

Survey: There are questions which were asked to individual and they had to answer.

Therefore, this is a survey.

b)

To determine

To find which test is appropriate.

Answer to Problem 32E

Chi-square test of Homogeneity.

Explanation of Solution

Given:

  

When we want to check whether the distribution of one variable is same for all the groups then we use Chi-square test of Homogeneity. Therefore, here research wants to check whether there are different opinions among parents and kids. Hence, Chi-square test of Homogeneity is appropriate.

c)

To determine

To perform the test and conclude it.

Answer to Problem 32E

There is not sufficient evidence to reject the claim that same opinion among parents and kids.

Explanation of Solution

The null and alternative hypotheses:

H₀: There is same opinion among parents and kids.

H_a: There is different opinion among parents and kids.

Using excel,

  

Therefore,

  ${\chi }^2$ = 4.03

P-value = 0.4019

Decision: The p-value> 0.05, fail to reject H0.

Conclusion: There is not sufficient evidence to reject the claim that same opinion among parents and kids.