7, P-value = 8 According to an almanac, the percentage of movies with ratings of
ID: 3052970 • Letter: 7
Question
7, P-value = 8 According to an almanac, the percentage of movies with ratings of R has been 55% during a recent period of 33 years. Use the sample data set below to find the sample proportion of movies with rating of R. Use a 0.01 significance level to test the claim that the movies in the data set are d from a population in which 55% of the movies have R ratings. PG-13 RPG-13 PG R PG PG PG-13 PG-13 PG-13 R PG-13 PG-13 R PG-13 PG-13 RR PG PG-13 R | R PG-13 IR ? R R . PG-13 PG-13 PG-13 PG-13 PG-13 PG-13 . l PG-131 PG-13 | R ^ | · a) The sample proportion, p, of movies with ratings of R is: p- b) Identify the null and alternative hypothesis. 0. 1. c) State whether the test is left, right, or two-tailed test. Circle your answer. Left Right Two-tailedExplanation / Answer
b)
H0 : p = 0.55
Ha : p not equal to 0.55
c)
The test is two tailed
t = (pcap - p)/sqrt(p * (1 - p)/n)
= ( 0.33 - 0.55) /sqrt(0.55*(1 -0.55)/36)
= -2.6533
P value =.0119
we can reject the null hypothesis.
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