The average price for a theater ticket in a certain city in 2017 was $106.39. A random sample of 27 theater ticket prices in the city in 2018 had a sample mean of $112.09 with a standard deviation of $42.26. a. Do we have evidence that theater ticket prices in the city changed from the 2017 price? Use a significance level of 0.05 b. Construct a 95% confidence interval for the price of a theater ticket in the city. How does your confidence interval support your conclusion in part (a)? a. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H = $106.39 B. Ho: H= $106.39 O C. Ho: H > $106.39 Ha: H > $106.39 Ha: H# $106.39 Ha: US $106.39 O D. Ho: H # $106.39 O E. Ho: H