Question

a simple random sample of 5000 students were selected and asked how likely to for them to maintain a 6 feet distamce in the classrooms if they return to campus. among the sample 5000 , 76% of the students responded that they are somewhat or very likely to keep the physical distance in classrooms
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1. University is intrested in releasing an interval estimate for the true proportion of students who would be (somewhat or very likely to keep their physical distance). What are the conditions that need to be satisfied in order for us to calculate the confidence interval. Are they satisfied?

2.) Calculate the 90% Confidence interval for the proportion (of students somewhat or very likely to keep their physical distance)?

3.)Interpret the interval calculated in part 2?

4.) Based on the interval you calculated in part 2 we can say more than 70% of penn state students would (somewhat or very likely to keep their physical distance). Explain your anwser?

Answer 1

The solution to this problem is given by