Quiz: Quiz 3 (Chapters 12, 15, 16, 17) This Question: 1 pt 18 of 21 (2 complete
ID: 3218944 • Letter: Q
Question
Quiz: Quiz 3 (Chapters 12, 15, 16, 17) This Question: 1 pt 18 of 21 (2 complete v This Quiz: 21 pl 585 broiler chickens purchased tom various kinds o food stones in dnement regions of a country and tested for types ol bacteria that cause loodborne anesses. Tr were infected with a pancular bacterium. Construct a 95% confidence interval b) Explain what interval says about chicken sold inthe courtry. government spokesperson claimed the sample size was too small, relanve to the bilions el dickens slaughtered each year, to grneralre ls this croosm wild? aj What is the 95% confidence interval? The 95% confidence interval is tom to (Round to one decimal place as needed) O A. There is a 95% chance that the true proportion of broiler chickens infected with the bacterium is in the interval B. In 95% of samples of broiler chickens sold in the country, the proportion inected with the bacterium be in te intenal O C. We are 95% confident that the interval captures the true of all broiler chickens sold in the country that are ilected with the bacterium c)ls the government spokesperson's criticism vald? O A. No, as long as the necessary assumptions and conditons were met, the results can be generalized. O B. Yes, the sample size must be at least 10% of the population, or the results cannot begeneralized. C. Yes, until another study produces a smilar intenwal, the results cannot be generalized. Click to select your answer(s)Explanation / Answer
(a) n = 585
p = 0.77
% = 95
Standard Error, SE = {p(1 - p)/n} = (0.77(1 - 0.77))/585 = 0.017399283
z- score = 1.959963985
Width of the confidence interval = z * SE = 1.95996398454005 * 0.0173992828224339 = 0.03410197
Lower Limit of the confidence interval = P - width = 0.77 - 0.0341019676887968 = 0.73589803
Upper Limit of the confidence interval = P + width = 0.77 + 0.0341019676887968 = 0.80410197
The 95% confidence interval is [73.6%, 80.4%]
(b) Option A
(c) Option A
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