Instructions: Choose the number of the correct statistical procedure (test) for
ID: 3155887 • Letter: I
Question
Instructions: Choose the number of the correct statistical procedure (test) for the problem listed below. Use the information to set up the appropriate null hypothesis and give the type of the response variable. Choices of tests include:
1-sample z-test about a proportion (1)
1-sample t-test about a mean (2)
2-sample z-test about two proportions (3)
2-sample t-test about two independent means (4)
paired t-test about average difference of two means (5)
Nonparametric test about medians (6)
t-test about a slope of a regression line (7)
Chi-square test (8)
A politician asserts that only 40% of Americans are in favor of changing the way that presidential primaries are held. An anchor at Fox News disputed this, saying it was certainly more than 40%. A Gallup poll of 850 people showed that 442, or 52%, are in favor of changing the ways that presidential primaries are conducted. Who do you think is right--the politician or Fox News anchor?
Explanation / Answer
A politician asserts that only 40% of Americans are in favor of changing the way that presidential primaries are held. An anchor at Fox News disputed this, saying it was certainly more than 40%. A Gallup poll of 850 people showed that 442, or 52%, are in favor of changing the ways that presidential primaries are conducted. Who do you think is right--the politician or Fox News anchor?
Here, we only examine ONE PROPORTION, the proportion in favor of changing the ways that presidential primaries are conducted.
Hence,
OPTION 1: 1-sample z-test about a proportion [ANSWER]
Here,
Ho: p <= 0.40 [ANSWER]
where p = the true proportion in favor of changing the ways that presidential primaries are conducted.
The response variable here is a proportion