Bonus Question (hypothesis test for the proportion on small sample size)
we know that if (pi)n>=5 and (1-(pi) )>=5, we can assume sample distribution is normal because of central limit theorem. then we can use z-test to do the hypothesis testing. but if the sample size is small, we cannot assume the sample distribution is normal. Here is the question:
WRITE THIS ESSAY FOR ME
Tell us about your assignment and we will find the best writer for your paper.
Get Help Now!One manufacturer’s high-quality product rate is 30%. recently, a sample with size 15 products is collected. among them, 3 are with high quality. Can we say the high-quality rate remains 30% using level of significance (alpha symbol)=0.05 ?
We can find that n(pi)=15 x 0.3 = 4.5 <= 5 (in reality, n(pi) is better be much larger than 5), so we do not take the assumption that it is normally distributed. we cannot use z-test. This hypothesis is still two-tail hypothesis and the rejection region is {x<= c1 or x>=c2}. C1 and C2 are two critical values. Can you find c1 and c2 to form the rejection region and do the hypothesis testing?
Ho: p=0.3 vs H1: p (does not equal) 0.3 (hint: binomial distribution)
Introducing our Online Essay Writing Services Agency, where you can confidently place orders for a wide range of academic assignments. Our reputable homework writing company specializes in crafting essays, term papers, research papers, capstone projects, movie reviews, presentations, annotated bibliographies, reaction papers, research proposals, discussions, and various other assignments. Rest assured, our content is guaranteed to be 100% original, as every piece is meticulously written from scratch. Say goodbye to concerns about plagiarism and trust us to deliver authentic and high-quality work.
WRITE MY ESSAY NOW
