Question

How to answer 2 (a)(b)(c).

Problem 2 (5 pts) e A poll is conducted in a town. It is seeking to determine the percentage of adults who support an increase in funding for the local library. There are 1000 responders to the poll, which were selected randomly. a. The announced result of the poll is 54% of adults support the increase. There is a 90% confidence level that the maximum margin of sampling error is + 3%. Does this range absolutely contain the true percentage of those who support the increase?" b. Explain what the result 54% + 3% at a 90% confidence level means. c. Will the margin of error account for bias or errors in data collection in the polling?

Answer 1

ANSWER:

a)

The given range here is the 90% confidence level of the proportion of adults who support the increase. Therefore the given interval does not absolutely contain the true percentage of those who support the increase but it controls the given population parameter with a 0.9 probability which is the confidence level here.

b)

The interpretation of the given confidence interval here is that we are 90% confident that the true proportion of those who support the increase lies in the given interval (0.51, 0.57).

c)

The margin of error is computed because we have a random sampling error whenever we get the sample metrics. Note that this is also the reason that as the sample size increases, the margin of error decreases. Therefore it is for errors in the data collection in the polling.

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