Questions 9 to 11:An airport official wants to prove that the proportion (p₁) of delayed flights after a storm for Airline 1 was different from the proportion (p₂) of delayed flights for Airline 2.Random samples from the two airlines after a storm showed that 50 out of 100 of Airline 1's flights were delayed, and 70 out of 200 of Airline 2's flights were delayed.

1.What are the appropriate null and alternative hypotheses?

2.What is the p-value? (Stats.blue)

3.For a significance level of a = 0.05, what is your conclusion?

Questions 12 to 14: A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at their station. They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so. Suppose that 36 out of the 400 city residents in the sample could name the anchor when asked.

4.Calculate a 95% confidence interval for the population proportion of city residents who can name the news anchor on the evening news at their station.(Stats.blue, One-Sample Confidence Interval for a Proportion)

5.Explain in my own words what the 95% confidence level implies.

Explain why the anchor should or should not be fired based on the confidence interval that you found.