Christopher is a student and he is interested in knowing whether the nine Star Wars movies are equally popular on campus. He randomly surveys 882 students and gets the following results

Movie Count

Episode IV - A New Hope 106

Episode V - The Empire Strikes Back 115

Episode VI - Return of the Jedi 104

Episode I - The Phantom Menace 87

Episode II - Attack of the Clones 81

Episode III - Revenge of the Sith 122

Episode VII - The Force Awakens 91

Episode VIII - The Last Jedi 103

Episode IX -The Rise of Skywalker 73

where the count indicates the number of students in the sample who said the corresponding movie was their favorite

a. What statistical test can Christopher use to answer his question? What are the conditions of this test? Are they satisfied?

b. Write down the hypotheses for determining whether the nine Star Wars movies are equally popular on campus. Carry out the hypothesis test, calculate the p-value of the test and make a conclusion at a 0 .01 significance level.

c. After looking at your hypothesis test in part b., another student is confused as to why the p-value is not multiplied by two (as was done in other statistical tests covered in the course). Briefly explain why the p-value you calculated above is not multiplied by two and why the right-tail probability is calculated instead of the left tail.