You would like to estimate the proportion of \"regular user of vitamins\" in a l

Question

You would like to estimate the proportion of "regular user of vitamins" in a large population. In order to find a confidence interval for proportion, A. we must assume that we have a random sample from a normal population B. we must assume that we have a random sample from a binominal population where np> 5 and n(1 -p)> 5 we must assume that the population is normal (but we do not require a random sample because of the Central Limit Theorem). we do not need to assume that the population is normal nor that the sample is random (because of the Central Limit Theorem). we do not need to assume anything. A poll asked Americans if they were, or were not, in favor o gun control laws. 25% of those surveyed were not in favor of gun control laws. The results were accurate to within 3 percentage points, with 95% confidence. Which of the following is NOT correct? A. The 95% confidence interval is approximately 22% to 28%. B We are 95% confident that the true proportion of people not in favor of gun control is within 3 percentage points of 25%. C. In approximately 95% of polls on this issue, the confidence interval will include the sample proportion. D. If another poll of similar size were taken, the percentage of people IN FAVOR of gun control would likely range from 72% to 78%.

Explanation / Answer

1)The correct answer is C. we assume that the population is normally distributed.

2) D is the correct answer. We are making a hypothesis around no. of people against gun control. There may still be people who are neutral. Also, we have to conduct a stastical test again to make a conclusion about people in favor of gun control

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