The mayor of Belmont, Texas (population, 800,000), is concerned about levels of prostitution in the city. Over the past year, the police department arrested an average of 8.9 individuals per day for solicitation. The mayor believes that these numbers are unacceptably high and would like to do something to address the problem.

With the cooperation of the city council, the mayor authorizes a program to publicly identify individuals found guilty of solicitation on a weekly community affairs program airing on Belmont public access television. Several episodes of the program have aired, and the mayor would like to determine whether this initiative has had any impact on discouraging prostitution activity. The police department has been able to provide the mayor’s office with 75 days’ worth of arrest data since the programs first stated airing. Assist the mayor by analyzing the data on arrest rates. State both a null hypothesis and an alternative hypothesis for this problem, and provide a statistical evaluation of the data using a t test. What can the mayor’s office conclude about the effectiveness of this program?