Discussion:
Q1 a) In a random sample of 500 observations , we found the proportion of successes to be 48%. Estimate with 95% confidence the population proportion of successes.
b. Repeat part (a) with n=200
c. repeat part (a) with n = 1000
d. Describe the effect on the confidence interval estimate of increasing the sample size
Q2 A statistics practitioner working for Major League Baseball wants to supply radio and television commentators with interesting statistics. He observed several hundreds fames and counted the number of times a runner on first base attempted to steal second base. He found there were 373 such events, of which 259 were successful. Estimate with 95% confidence the proportion of all attempted thefts of second base that are successful.
It is the responsibility of the federal government to judge the safety and effectiveness of new drugs. There are two possible decisions: approve the drug or disapprove the drug.
Q3 You are pilot of a jumbo jet. You smell smoke in the cockpit. The nearest airport is less than 5 minutes away. Should you land the plane immediately?
Q4 a. Calculate the p-value of the test of the following hypotheses given that p=.63 and n=100:
Ho: p =.60 H1: p>.60
b. repeat part (a) with n =200 c. repeat part (a) with n =400 D. Describe the effect the P-value of increasing the sample size.