Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18-31) stll live at home wit
h their parents. A group of students wants to conduct a study to determine whether this result is true for students at their campus. They survey 300 randomly selected students at their campus and determine that 43% of them live at home with their parents. With this data, they test the following hypotheses at the 5% significance level. The P-value is 0.006. H0: Of Millennial students at their campus, 36% live at home with their parents. Ha: More than 36% of Millennial students at their campus live at home with their parents What assumption about the sample underlies the hypothesis test? A. The sample comes from a population of Millennial students at their campus where 36% still live at home with their parents. B. The sample comes from a population of Millennial students at their campus where 43% still live at home with their parents. C. The sample comes from a population of American Millennial students at their campus where 36% still live at home with their parents. D. The sample comes from a population of American Millennial students at their campus where 43% still live at home with their parents.
The proportion of American Millennials still with their parents = 0.36
The sample size = 300
Sample proportion = 0.43
Level of significance = 0.006
P-value = 0.006
Null hypothesis:
The required task is to determine the assumption about the sample that underlies the hypothesis test from the given options.
A.
This is because the student wants to check if the null hypothesis ( which states that of Millennial students at their campus, 36% live at home with their parents) is correct or not.
