A survey was carried out to find if students in the theater department liked the following three actors: Marlon Brando, Clint Eastwood and Paul Newman. Exactly 51 students participated in the survey. 26 students liked Marlon Brando. 34 students liked Clint Eastwood. 29 students liked Paul Newman. 2 students liked Paul Newman and Marlon Brando, but not Clint Eastwood. 9 students liked Paul Newman and Clint Eastwood, but not Marlon Brando. 19 students liked exactly two of the following three actors: Marlon Brando, Clint Eastwood and Paul Newman. 11 students liked all of the following three actors: Marlon Brando, Clint Eastwood and Paul Newman. a.) How many students liked exactly one of the following three actors: Marlon Brando, Clint Eastwood and Paul Newman? b.) How many students liked none the following three actors: Marlon Brando, Clint Eastwood and Paul Newman? c.) How many students liked at most two of the following three actors: Marlon Brando, Clint Eastwood and Paul Newman?

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 30 million viewers, and they want more than 30% of the viewers to want to see the movie again. They show the movie to a test audience of 175 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 65 people said they would see the movie again. a. Specify the competing hypotheses to test if more than 30% of the viewers will return to see the movie again. Ho: 0.3; versus HA b-1. Calculate the value of the test statistic. Note: Round final answer to 2 decimal places. Test statistic b-2. Find the p-value. O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.025 c. At the 5% significance level, what is the conclusion? ○ Do not reject Ho, the population proportion is greater than 0.30. ○ Do not reject Ho, the population…

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 31   said they drove alone. 32   rode in a carpool. 28   rode public transportation. 4   used both carpools and public transportation. 5   used both a carpool and sometimes their own cars. 3   used buses as well as their own cars. 1   used all three methods. How many used none of the above-mentioned means of transportation?students

The executives of an accounting firm plan to survey a random sample of clients to determine how satisfied they are with the service they have received. Of the firm's 5412 regular clients, 500 are surveyed and 435 claim to be very satisfied with the service they have received. The sample is the: 5412 regular clients.   500 clients surveyed.   65 clients that were not satisfied.   435 satisfied clients.

The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller  than the proportion of households from B. In order to test this, the  manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.

Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 57 preferred comedies. 40 preferred variety shows. 42 preferred serious drama. 17 preferred comedies and variety programs. 15 preferred variety and serious drama. 18 preferred comedies and serious drama. 8 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?

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 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. They show the movie to a test audience of 150 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 78 people said they would see the movie again. (You may find it useful to reference the z table.)   Calculate the value of the test statistic. (Round final answer to 2 decimal places.) test statistic=