32. a) The survey gives us a sample proportion of students who are unfamiliar with the program. 150 were surveyed according to the description above (every 100th student), and 90% responded, so the sample size is 135. Since 108 were unfamiliar, our sample proportion is 0.8.
The sample proportion is our best estimate of the population proportion (in the absence of bias). So our best estimate for the total number of students at the University who are unfamiliar is:
0.8 * 15,000 = 12,000 students
b) The results of the survey should be somewhat reliable - we have a very high response rate, so that limits the error introduced by non-responses. But we should be careful - non-responders may also be less likely to have heard of the program (e.g. they tend to be less engaged). A correlation between the statistic of interest and response likelihood can always introduce bias, though in this case it should be small.
Just wondered why you hadn't accepted either of the answers I submitted to your questions - did you have any problems understanding them, or further questions? I noticed you had posted further questions but for now I am holding off providing answers since I believe we tutors receive automatic bad reviews if the student doesn't accept them.
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