Ho: P 4 0.2 ; HA . P = 0.2 b. Calculate the value of the test statistic. (Round final answer to 4 decimal places) Test Statistic Formula 7 2 = P- Po S POCI-PO) C 30 - 30 1 Too = 0. 3 k Correct Proportion T 0. 7F Incorrect Proportion ( 0. 0 - 0. 2 ) / SORT Co.2 # CI*c. Find the p-value (Round final answer to 4 decimal places) 1- Norm. Dist ( 6. 8465, 0, 1, 1 ) 3. 784 yd. At the 10% significance level, what is the conclusion? Since the P Value is smaller than the level of Significance 10%, we reject X18. (20 points) A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have more than 20% of the viewers to want to see the movie again. They show the movie to a test audience of 100 people, and after the movie they asked them if they would see the movie in theaters again.(Of the 100 test audience, 30 people said they would see the movie again. (note: this is a test of a population proportion) a. Specify the competing hypotheses to test if more than 20% of the viewers will return to se the movie again. Ho: P 2 0.2 ; HA : P - 0.2