Question

Across all 8 seasons of Arrow, female speech amounts to only about 25% of all speaking...

Across all 8 seasons of Arrow, female speech amounts to only about 25% of all speaking time. Assume there were about 5703 minutes of speaking time across all 8 seasons of Arrow.

a. Find and interpret a 90% level confidence interval for p, the true proportion of speaking time for females in Arrow.

b. In season 8 episode 4, only 20% of all speaking time was attributed to female characters. Based on your interval in part (a), was this value likely?

c.If we wanted to be 95% certain that a confidence interval for the true proportion of female speech had a margin of error of no more than 1%, how many minutes of speaking time would we need to have in our sample? Use p = 0.25.

Math   Statistics-And-Probability   
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