Please help with what formula to use and how to input numbers- Thank you so much
ID: 3262334 • Letter: P
Question
Please help with what formula to use and how to input numbers- Thank you so much!
A Movie production company is releasing a movie with the hopes of many viewers returning to see the movie in the theatre for a second time. Their target is to have 30 million viewers, and they want more than30% of the viewers to return to see the movie again. They show the movie to a test audience of 200 people, and after the movie they ask them if they would see the movie again. Of the test audience, 68 people said they would see the movie again.
a) What is the p-value for the test statistic and show work
b) What is the statistical decision when the alpha = 0.05?
Explanation / Answer
Ho : p =0.3
Ha: p > 0.30
n = 200 , X = 68
p^ = X/n = 68/200 = 0.34
TS = (0.34-0.3)/(sqrt(0.3*0.7/200))
=1.234426
p-value = P(Z >1.234426) = 0.1085
b)
since p-value > 0.05
we fail to reject the null