Mat 152 Lab 6 Name: Due: 7/3/2022 Show all work in the space provided. All work must be shown to obtain full credit. If a calculator function was used, list exactly what was entered into the calculator. Examples of the hypothesis testing process can be found in the video "Hypothesis testing for Proportions" located on Blackboard in Course Documents>Unit 7. 1a. According to a Pew Research poll conducted in March 2022 involving n=556 parents, 133 said that their child spent too much time on social media. Test the claim that the percentage of U.S. parents who would answer "too much time" is 25%, using a 0.01 significance level. Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Why did you choose to reject or fail to reject the null hypothesis? Nontechnical conclusion addressing the original claim: 1b. Create a 99% confidence interval for the true proportion of U.S. parents who would answer "too much time". Does the confidence interval support the null hypothesis? Why or why not? Calculation of the confidence interval will only earn half credit for this portion.