(40,1 am the mayor of the city of statistica. In order to bring some cheer durin
ID: 3320814 • Letter: #
Question
(40,1 am the mayor of the city of statistica. In order to bring some cheer during winter, I have filled a huge jar with 100,000 marbles with some greesn and with some white. p is the propotion of green marbles in the jar. Each citizen is allowed one chance to pick a sample of 100 marbles and should come up with a 90% confidence interval for "p". If their interval contains the true "p" ( which I know, since I have arranged for the jar to be filled) they get a prize. Of course the marbles are to be put back in the jar after each draw. Which of the following statements are true 2 n loo (a) If the true p is 10% then only 10% of the citizens would win a prize (b) If the true p is 90% then 90% of the citizens would win a prize x (c) If the true p is 10% then also 90% of the citizens would win a prize x (d) If the true p is 80% then 90% of the the citizens will have a confidence interval twoExplanation / Answer
When we calculate 90% CI of proportion, it means there are 90% chance that the true proportion will lie in the CI. This is not affected by the value of p.
Hence in option B, C and D we get 90% citizens winning the prize no matter what is the value of p.
Hence B, C and D are correct.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.