A study was conducted to determine the effectiveness

Sanaa Roman

Sanaa Roman

Answered question

2022-03-16

A study was conducted to determine the effectiveness of varying amounts of vitamin C in reducing the number of common colds. A survey of 450 people provided the following information:
Daily amount of vitamin C taken None  500 mg  1000 mg  No colds 572617 At least one cold 2238443 
Assuming conditions are met, which is the appropriate test to determine if there is an association between catching a cold and taking vitamin C?
(A) 2-sample z test for a difference in proportions
(B) 1-sample z test for a proportion
(C) chi-square test for goodness of fit
(D) chi-square test for association
(E) 1-samplet test for mean

Answer & Explanation

obduciramwz6

obduciramwz6

Beginner2022-03-17Added 8 answers

A chi-square test of association is used if there is any association between the two variables. It a hypothesis test in which the null hypothesis states that the two variables are not associated that is they are independent against the alternative hypothesis which states that the two variables are associated that is there are dependent.
For the defined study we are interested in testing the association between catching a cold and taking vitamin C.
Thus, the appropriate test to determine chi-square test the association between catching a cold and taking vitamin C is chi-square test for association.
Hence, option D is correct.

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