Question

In: Statistics and Probability

Betty starred on a great number of game shows – and perhaps my favorite was Match...

Betty starred on a great number of game shows – and perhaps my favorite was Match Game. While Betty was a great player, did she do better with some contestants than others? Betty took a random sample of Match Game episodes and found that she matched the male contestants 264 out of 385 times and matched the female contestants 294 out of 377 times.

Construct a 95% confidence interval for the difference in the proportion of the time Betty would match male contestants and the proportion of the time Betty would match female contestants.

Based on your answer to (a), can we conclude that Betty matched one group of contestants better than the other?

Expert Solution

Proportion of matches that Betty matched male contestants:

Proportion of matches that Betty matched female contestants:

Construct a 95% confidence interval for the difference in the proportion of the time Betty would match male contestants and the proportion of the time Betty would match female contestants.

The 95% confidence interval for the difference in population proportion is

(b). Based on your answer to (a), can we conclude that Betty matched one group of contestants better than the other?

Yes, we can conclude hat Betty matched one group of contestants better than the other. The confidence interval doesn't contain 0, it is one sided. This shows that the proportion of female contestants are more than that of males.

orchestra answered 2 years ago

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