PCC The Statistic Practice Probability of Success and Standard Errors Questions

Answer these questions with detailed work.

1 The probability of success is 0.316. sample of 134 is taken

if a sample is 1.37 standard errors less than expected how many successes are in that sample?

2) It is widely believed that 36 percent of all students live in campus housing. You suspect that claim is not accurate. you take a sample of 175 students from the population and find that 77 of those students live in campus housing.

A. assuming the null is true what is probability of getting a sample proportion as extreme as we did.

B. assume the null is true what is the standard deviation of population proportion

C. based on our sample, if we repeated the sampling procedure an infinite number of times. whats the upper limit of the 90 percent confidence interval?

D. what can you conclude on this test?

E. how many standard errors is the sample proportion away from the null?

F. assuming the null is true, on average how far would a sample proportion be from the expecting population proportion