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For the following problems, state the null and alternate hypothesis, find the chi-square test statistic, decide whether to reject or fail to reject the null hypothesis, and provide your analysis and conclusions.
a. Results from a survey five years ago that asked how long they had to wait in the waiting room to see their doctor. You randomly selected 250 people and asked them how long they had to wait in the waiting room. Can you conclude at sig. of .01 that there has been a change in claimed or expected distribution?
Actual Minutes
Actual Percentage
Survey Result Minutes
Survey Result Frequency
1 - 5
14%
21
6 - 10
18%
39
11 - 15
27%
37
16 - 20
15%
53
21 - 25
11%
40
26 - 30
9%
34
31 and over
6%
26
b. Results from a previous survey asked baseball players on a high school team what they needed help with the most in baseball. To determine whether the distribution is the same, a researcher studied 125 randomly selected players and asked them what they needed the most help with. The results are shown below. At a sig. of .05 are the distributions the same?
Survey Result
Bunting
18
Batting Approach
38%
33
Strategy
26%
47
Throwing Velocity
25%
27
Holiday Inn wants to develop a 97% interval for the mean number of rooms occupied each night at its locations around the nation. How many nights must be included in the sample if an error of 50 rooms can be tolerated and a pilot sample reveals s =..
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