6) Recall the recent article from npr.org, \"Danish study links fish oil during

Question

6) Recall the recent article from npr.org, "Danish study links fish oil during pregnancy with lower asthma risk in kids which is posted on canvas and was part of Homework 4. For this problem, assume that there were a total of exactly 700 participants, half of the participants were randomized to fish oil, and half were randomized to olive oil. a) 1 point) Based on this study, what is a 95% confidence interval for the population proportion of "asthma and wheezing" among people who take fish oil? b) Based on this study, what is a 95% confidence interval for the population proportion of "asthma and wheezing" among people who take oli oil?

Explanation / Answer

(a) = = 0.5, q = 1 - p = 0.5, n = 700

n = 700    

p = 0.5    

% = 95    

Standard Error, SE = {p(1 - p)/n} =    (0.5(1 - 0.5))/700 = 0.018898224

z- score = 1.959963985    

Width of the confidence interval = z * SE =     1.95996398454005 * 0.0188982236504614 = 0.03703984

Lower Limit of the confidence interval = P - width =     0.5 - 0.0370398377266873 = 0.46296016

Upper Limit of the confidence interval = P + width =     0.5 + 0.0370398377266873 = 0.53703984

The 95% confidence interval is [0.463, 0.537]

(b) The answer is the same as for part (a) above.

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