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I will give you a good rating if you do it right, thank you so much a) What is t

ID: 3295835 • Letter: I

Question

I will give you a good rating if you do it right, thank you so much

a) What is the chi-square statistic associated with your test?

b) Given your test results, what is your decision about the null hypothesis?

c)

Interpret your decision about the null hypothesis from the previous question.

Based on our study, we have enough evidence to conclude that there appears to be a relationship/association between health insurance and blood type.

In other words, health insurance and blood type do not appear to be independent.

Based on our study, we do not have enough evidence to conclude that there appears to be a relationship/association between health insurance and blood type.

In other words, health insurance and blood type appear to be independent.

2.19 A researcher is interested in whether or not there is any association between health insurance provider and blood type. The researcher asks 1000 participants about their current health insurance provider and their blood type. Results of his survey are reported below United Kaiser Anthem TOTAI 173 124 103 400 AB 43 26 31 100 138 86 76 300 96 64 40 200 TOTAL 450 300 250 1000 His research question of interest is: Is there any association between health insurance provider and blood type? You would like to test his research question of interest using a two variable chi-square test with an alpha (a) level of 0.01.

Explanation / Answer

a)

H0: There is no association between health insurance provider and blood type
H1: There is association between health insurance provider and blood type
Let the los be alpha = 0.01

From the given data, the observed frequenices are

Test Statistic, X^2: 5.4822

Correct Answer: option (C) 5.48

b)
Critical X^2: 16.81192
P-Value: 0.4836

Here chisquare value < chisuqare critical value and p-value > alpha 0.01, so we accept H0

Correct Answer: Option (B) Fail to reject (i.e., retain) the null hypothesis

c) Correct answer: Option (B)

Based on our study, we do not have enough evidence to conclude that there appears to be a relationship/association between health insurance and blood type.

In other words, health insurance and blood type appear to be independent.

Data Quarter O AB A B Total United 180 45 135 90 450 Kaiser 120 30 90 60 300 Anthem 100 25 75 50 250 Total 400 100 300 200 1000