The questions are below

May 28, 2021, 5242 PM oastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fee public speaking. She randomly surveys 361 schoolmates and nds that report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%. 1. State the distribution to use for the test. (Round your answers to four decimal places.) 2. What is the test statistic? (If using the 2 distribution round your answers to two decimal places, and if using the t distrib '3. What is the p~value? (Round your answer to four decimal places.) 4. Construct a 95% condence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)