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A political poll of Americans was conducted to investigate their opinions on gun control. Each person was asked if they were in favor of gun control or not in favor of gun control, or I am not sure. The survey found that 25% of people contacted were not in favor of gun control laws. These 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 from 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% 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%

Respuesta :

Answer:

C

Step-by-step explanation:

C is the incorrect statement. The confidence interval is suppose to estimate the population  proportion –not the sample proportion.

“A” is just giving the confidence interval about the mean value of 25% ~ +/- 3% i.e ( 22 , 28 ) % that is correct.

“B”  is talking about estimating the population proportion with the confidence interval that is correct.

“D” is estimating the complement of “not in favor of gun control” –“in favor of gun control”. The hypothesis does not necessarily hold true for an alternative.

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