Question

In: Statistics and Probability

Variables: Region, Preferred_Status Is there an association between the state in which a student lives and...

Variables: Region, Preferred_Status

Is there an association between the state in which a student lives and the student's preferred status?

H₀: The state in which a student lives and a student's preferred status are not associated.

H_A: The state in which a student lives and a student's preferred status are associated.

Contingency table results:

Rows: Region, Columns: Preferred_Status

Cell format
Count (Expected count)

	Happy & Healthy	Rich & Famous	Total
CA	201 (199.5)	60 (61.5)	261
SC	65 (66.5)	22 (20.5)	87
Total	266	82	348

Test Statistic	P-value
0.19145425	0.6617

Answer the following questions:

A) Which statistical inference procedure would be most appropriate to answer this question? Explain how you know.

B) Is the sample size large enough to perform the hypothesis test? Explain.

C) Write an appropriate conclusion using the p-value provided above.

Group of answer choices

Check when complete.

Expert Solution

Is there an association between the state in which a student lives and the student's preferred status?

H₀: The state in which a student lives and a student's preferred status are not associated.

H_A: The state in which a student lives and a student's preferred status are associated.

a) Here we want to do Chi-sqaure test of independence.

When we want to test that the their is an association between the two variables, we do the chi-sqaure test of independece.

Here we want to find that there an association between the state in which a student lives and the student's preferred status.

So here we have to do Chi-sqaure test of independence.

B) Is the sample size large enough to perform the hypothesis test? Explain.

Yes,

The requirement for the chi-squre test is that value of the cell expecteds should be 5 or more.

Here all cells have value 5 or more.

So sample size is enogh.

C)

We reject Ho if P-value is less than level of significance.

I.eP-value is less than 0.01,0.05,0.10

Here P-value = 0.6617

Here P-value is very large.

We fail to rejcet Ho.

So we may conclude that the data do not provide sufficient evidence to support claim that the there an association between the state in which a student lives and the student's preferred status.

orchestra answered 2 years ago

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