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1. A teacher believes that 85 percent of students in the class will want to go on a field trip to the local zoo. She

1. A teacher believes that 85 percent of students in the class will want to go on a field trip to the local zoo. She performs a hypothesis test to determine if the percentage is the same or different from 85 percent. The teacher samples 50 students and 39 reply that they would want to go to the zoo. For the hypothesis test, use a 1 percent level of significance. First, determine what type of test this is, set up the hypothesis test, find the p value, and state your conclusion.

2. An interested citizen wanted to know if Democratic U.S. senators are older than Republican U.S. senators, on average. On May 26, 2018, the mean age of 30 randomly selected Republican senators was 61 years 247 days (61.675 years) with a standard deviation of 11.07 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days (61.704 years) with a standard deviation of 9.05 years. Do the data indicate that Democratic senators are older than Republican senators, on average? Test at a 5 percent level of significance.

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