Show all work and write answer in a sentence which answers the given question. Y
ID: 3067420 • Letter: S
Question
Show all work and write answer in a sentence which answers the given question.
You create a 90% confidence interval for the proportion of consumers which prefer your product over the competitors and find it to be 46% to 64%.
a) Using this interval, is it correct to say more consumers prefer your product? Explain your reasoning.
You are a dishonest statistician and want to ensure that you can say more consumers prefer your product than they do a competitor’s
b) What are two ways that you can manipulate these results to get a more favorable outcome (which according to the data is statistically correct, i.e. not just lying)?
Explanation / Answer
Please see below the answers: -
a)
Here, confidence interval is from 46% to 64%. Hence, it can also be either 50% or below that. Hence, we cannot confirm for sure that people prefer our product over the competitors product.
b)
In the sample, increase the proportion of people who prefer our product over the competitors or reduce the number of people who prefer competitors product over ours.