Living with parents: 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? if we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 36%? if we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 43% or more? if we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 36%? if we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%? if we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 43%?

"If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%?"

Step-by-step explanation:

The third option.  When running the hypothesis test, you are comparing your sample size (of the campus) to the known sample size (the results given by the Pew Research Center).  The results of the test give you the probability of the sample happening by random chance.  We always test for equality (the sample being equal to  the population), so if we reject the null, there will be evidence to suggest that the population proportion is actually more, given that the sample is an unbiased representation of the actual population

Here we want to see which question best describes what we need to determine.

The correct option is:

"If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 36%? "

First, let's write the hypothesis:

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.

So we want to study the probability of getting exactly 36%, as the study says.

Thus, the question that best fits this is:

" If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 36%? "

Why do we use sample instead of proportion? Because proportion is generalized, while sample is randomized.

Here we are asking, for a given random sample of students from the campus, what is the probability that exactly 36% of them live at their parent's house.

If you want to learn more, you can read:

link

35-60 students are taking math.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.