A study of alcoholism wanted to investigate whether

Juliet Jackson

Juliet Jackson

Answered question

2022-03-17

A study of alcoholism wanted to investigate whether drinking habits differ between alcoholic men and women. A random sample of 34 men and 18 women had to answer the question of what type of alcohol they mainly consume. Results:
 Gender  beer  wine  men 1519 women 414
a) Which test would be appropriate to examine whether there is a difference in behavior between men and women?
b) What statistical property examines such a test?
c) Does the data indicate that there is a difference? If so, which one?

Answer & Explanation

Pamela Browning

Pamela Browning

Beginner2022-03-18Added 7 answers

(a) Here Chi-square test would be appropriate to examine whether there is a difference in behavior between men and women.
(b) The Chi-Square Test of Independence determines whether there is an association between categorical variables (i.e., whether the variables are independent or related). It is a nonparametric test. This test is also known as: Chi-Square Test of Association.
(c) Hypothesis,
H0: there is a difference in behavior between men and women.
H1: there is no difference in behavior between men and women.
We know that, test Statistic
Chi-square= summation (OiEi)2Ei
Where Oi's are observed values and Ei's are expected values.
Table:
 Beer  Wine  Marginal Row Totals  Men 15(12.42)[0.53]19(21.58)[0.31]34 Women 4(6.58)[1.01]14(11.42)[0.58]18 Marginal Column Totals 193352 (Grand Total) 
Chi-square=(1512.42)212.42+(1921.58)221.58+(46.58)26.58+(1411.42)211.42
=2.433
The chi-square statistic is 2.4333. The p-value is .118783. Not significant at p < 0.05.
We Reject null hypothesis hence there is no difference in behavior between men and women.

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