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To study whether the students at a university are more or less satisfied with the current...

To study whether the students at a university are more or less satisfied with the current food service compared to the previous food service, a sample of 90 current students is taken and finds that 35 are satisfied with the current food service. A similar survey was taken for the previous food service in which 77 students surveyed found that 42 were satisfied with the previous food service. When testing the hypothesis (at the 5% level of significance) a higher percentage of students were satisfied with the previous food service than with the current food service, what is the test statistic? (please round your answer to 2 decimal places)

Math   Statistics-And-Probability   
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Answer #1

Let , p1 be the population proportion for previous food service and p2 be the population proportion for current food service.

For previous food service : n1=77 , X1=42

For current food service : n2=90 , X2=35

The sample proportions are given by ,

The pooled estimate for the proportion is ,

Q=1-P=0.5389

Therefore , the test statistic is ,

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