The Pew Research Center reported that 36% of American Millennials (adults ages 18–31) still live at home with 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. 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. In order to assess the evidence, which question best describes what we need to determine?

Respuesta :

The best question that describes what we need to determine is; If we are to examine the proportion of the students at their campus who still lives at home with their parents, how likely is that proportion to be more than 36%.

Suppose we assume that p should be the proportion of the American Millennials who still live at home with their parents.

Then, we can Mathematically express the Null Hypothesis as well as the Alternative Hypothesis as:

[tex]\mathbf{H_o:p=0.36}[/tex]

[tex]\mathbf{H_a:p>0.36}[/tex]

In Statistical Analysis, if the P-value < level of significance; we would reject the H_o and accept Ha.

The sample size n=300 is to large to compute the Z-test.

The P-value from the data given = 0.006 which is less than level of significance.

However, since the P-value < level of significance; then there is sufficient evidence to reject H_o. Thus, we conclude that p > 0.36

Therefore, we can conclude that the best question that describes what we need to determine is; If we are to examine the proportion of the students at their campus who still lives at home with their parents, how likely is that proportion to be more than 36%.

Learn more about hypothesis testing here:

https://brainly.com/question/17099835?referrer=searchResults

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