Suppose a certain population was reported in the news as being 60% Republican.You take a random sample of 100 people from this population and find that 67% of your sample is Republican.What can you conclude about the news report, based on your sample results?
A)You can't say they are wrong; your results are within the expected limits for a sample this size.
B)A sample of size 100 is never large enough to make any conclusions either way about an entire population.
C)You can say they are wrong because your sample results are too far away from what was reported in the news.
D)None of the above.

Question

Quizplus · Accepted Answer

With a sample size of 100, the margin of error for a 95% confidence level is around +/- 10%. Therefore, a sample proportion of 67% falls within the expected range of 50% to 70% and does not provide strong evidence to dispute the news report's claim. Choice B is incorrect because a sample size of 100 can provide some information about the population, but the accuracy of the information depends on factors such as sample representativeness and sample size relative to the population size. Choice C is incorrect because the sample proportion is not too far away from the news report's claim to completely reject it without further analysis.

Suppose a Certain Population Was Reported in the News as Being