17. A city is evaluating a proposal to build a parking lot. Data on the number of parked cars per day was collected for 30 days. For the proposal to be approved the city council needs to have evidence that the average number of cars parked in parking lots per day is more than 570. From the sample, the average number of cars parked per day was calculated to be 590.33 with a standard deviation of 52.062. A statistical analysis is done based on the collected data. Use this information to answer questions 1-8. Conduct a hypothesis test at the 5%% significance level to check if there is evidence that the average number of cars parked in parking lots is greater than 570. a. Write the mull and alternative hypotheses. Make sure to use the correct notation. b. Based on the output on the following page, determine the test statistic. Make sure to state whether this is a z, t, or F statistic. c. Write the probability statement for the p-value and then determine the p-value from the output below. . If the curve below corresponds to the density curve of the test statistic, indicate the value at the center for the test statistic, indicate the value and location of the test statistic for this problem and shade the area corresponding to the p-value. Write the conclusion to the hypothesis test in terms of the problem. Be sure to mention whether the conclusion applies to the population of the sample