3. Dr. Pridemore has been thinking about creating a Time Travel machine and is trying to figure out if she should program it to go to the Past or to the Future first. She claims that the true proportion of her students who would prefer to travel to the future is less than 50%. From the data collected in the Class Survey, she found that 82 of the 178 students surveyed preferred to travel to the future. At @ = 0.05, can you support Dr. Pridemore's claim? a. (2 pts) Write out the hypothesis statements below and identify the parameter of interest. He: Parameter of Interest: p = true proportion of Dr. Pridemore's students who would prefer to travel to the future. Haw b. (1 pt) Which hypothesis represents the claim? Circle one: Null Hypothesis (Ho) or Alternative Hypothesis (Ho) e c. (1 pt) Explain what type of hypothesis testing you will perform and verify that the conditions are met. d. Test this hypothesis. (SHOW WORK TO EARN FULL CREDIT!) (2 pts) Clearly label a sketch with appropriate shading. Also, identify the Critical Value(s) and Test Statistic. (1 pt) Critical Value(s): (1 pt) Test Statistic: (2 pts) Would you reject or fail to reject the null hypothesis? Circle one: Reject Ho or Fail to Reject H, Explain your choice: e. (2 pts) Write a conclusion in the context of this