Refer to given Exercise about a Gallup poll on how strict teenagers perceive their parents to be in comparison to other parents, based on a random sample of 439 teenagers. The choice "more strict" was selected by 171 of the respondents. Suppose that in fact the true population percentage of teenagers who think that their parents are more strict is 40%.
a. If a new sample of 439 teenagers from the same population were taken, which one of the following would be true? Explain your answer.
i. The number selecting the choice "more strict" would be 171 again.
ii. The number selecting the choice "more strict" could be 171 again.
iii. The number selecting the choice "more strict" could not be 171 again.
b. If a new sample of 439 teenagers from the same population were taken, which one of the following would be true? Explain your answer.
i. The true population percentage of teenagers who think that their parents are more strict would be 40%.
ii. The true population percentage of teenagers who think that their parents are more strict could be 40%.
iii. The true population percentage of teenagers who think that their parents are more strict could not be 40%.
Exercise
A Gallup poll surveyed a random sample of 439 American teenagers. One question that they were asked was, "How strict are your parents compared to most of your friends' parents?" The choices were "more strict," "less strict," and "about the same." The choice "more strict" was selected by 171 of the respondents (Mazzuca, 2004).
a. What is the research question of interest?
b. What is the population parameter of interest?
c. What percentage of the sample responded with "more strict"?
d. Draw a figure like Figure 10.1 (p. 373) to illustrate this situation.
