Opinion In favor 330 225 No opinion 165 180 Gender Opposed Male Female 55 45
A student organization is trying to decide whether or not to offer more movies on campus. They want to determine whether this idea will appeal to members of both genders. A random sample of 1000 students was asked if they were in favor of more movies on campus. The results by gender are shown in the table below in Figure 2.
Fig. 2: Summary
(a) What proportion of the sampled students is in favor of more movies on campus? (b) What proportion of the sampled females is in favor of more movies on campus? (c) What proportion of the sampled males is in favor of more movies on campus? (d) To answer the original question regarding whether or not to offer more movies on campus, which distribution should the student organization study? i. The joint distribution of gender and opinion.
ii. The marginal distribution of gender. iii. The conditional distribution of gender given opinion. iv. The conditional distribution of opinion given gender.
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