2. The bivariate table below shows the results of a survey in which men and women were asked whether they favor legalizing marijuana.

Sex:

Should marijuana be legal? Male Female Total

Yes 61.0% (430 50.9% (440) 55.4%(870)

No 39.0% (275) 49.1% (425) 44.6%(700)

Total 100.0% (705) 100.0% (865) 100.0% (1570)

A. Is there an effect of gender on support for legalizing marijuana in our sample? If so, what is the size and magnitude (weak, moderate, strong) of that relationship?

We want to know whether the difference observed in our sample is likely to be present in the population. We need to perform a chi-square test. We'll set an alpha level of 0.01

B. State your hypotheses:

H₁:

H₀:

What is your independent variable?

What is your dependent variable?

C. Find the expected frequencies for each of the cells.

Table 2. Expected Frequencies

Male Female Total

Yes 55.40%. 55.40% 55.40%

(870)

No. 44.60% 44.60% 44.60%

(700)

Total 100.0% 100.0% 100.0%

(705) (865). (1570)

D. Calculate the chi-square test statistic.

Status X Opinion

Male/Yes

Male/No

Female/Yes

Female/No

E. Calculate the degrees of freedom.

=

F. Using the chi-square table, find the critical value the degrees of freedom and alpha level.

CV =

G. Evaluate your hypothesis.

Is your chi-square test statistic greater than your critical value?

Do we reject or fail to reject the null hypothesis?

Interpret your conclusion.