A movie production company is releasing a movie with the hopes of many viewers returning to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want more than 30% 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 asked them if they would see the movie in theaters again. Of the test audience, 68 people said they would see the movie again.

a. At a 5% level of significance, test if more than 30% of the viewers will return to see the movie again.

b. Repeat the analysis at a 10% level of significance.

c. Interpret your results.
59. Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.

a. At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.

b. At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
60. A politician claims that he is supported by a clear majority of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. Is the politician's claim justifiable at a 5% level of significance? P-56