A 95% confidence interval for the first true proportion is (0.65, 0.72) and a 95
ID: 3129818 • Letter: A
Question
A 95% confidence interval for the first true proportion is (0.65, 0.72) and a 95% confidence interval for the difference in true proportions answering “yes” to the two questions is (-0.047, 0.045). What is the strength of evidence in these data to make us think that opinions are different for the two questions? Explain. Choose which on of the following answers is coorect.
Question 16 options:
Strong evidence. 0.5 is not in the interval for the first true proportion.
No evidence. The sample sizes are not the same so we cannot compare the two question phrasings.
Strong evidence. Neither the first nor second sample proportion are in the confidence interval for the true difference in proportion.
No evidence. Zero is in the interval for the true difference in proportions.
Question 17 (1 point)
Are you willing to say that we can be 95% confident that between 65 and 72% of Gallatin valley residents favor expansion of Medicaid? Explain your thinking.
Question 17 options:
. Yes, they randomly assigned the question to respondents so the results only apply to the sample.
No, this is not a random sample of Gallatin valley residents so the results only apply to the sample.
Yes, this is a random sample of Gallatin valley residents so the results apply to the population.
No, they did not randomly assign the question to respondents so the results apply to the population.
AStrong evidence. 0.5 is not in the interval for the first true proportion.
BNo evidence. The sample sizes are not the same so we cannot compare the two question phrasings.
CStrong evidence. Neither the first nor second sample proportion are in the confidence interval for the true difference in proportion.
DNo evidence. Zero is in the interval for the true difference in proportions.
Explanation / Answer
No evidence because Zero is in the interval for the true difference in proportions.
No, this is not a random sample of Gallatin valley residents so the results only apply to the sample.
There are manyothers who live in the Gallatin Valley that could not care as much to express theiropinions. This is the problem we have with surveys and convenience samples.
16) DNo evidence because Zero is in the interval for the true difference in proportions.
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