Of 580580 broiler chickens purchased from various kinds of food stores in differ

Question

Of

580580

broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of bacteria that cause food-borne illnesses,

5252%

were infected with a particular bacterium.

a) Construct a

9595%

confidence interval.

b) Explain what your confidence interval says about chicken sold in the country.

c) A government spokesperson claimed that the sample size was too small, relative to the billions of chickens slaughtered each year, to generalize. Is this criticism valid?

Explanation / Answer

Answer to the questions below:

p = .52
n=580

a.

95% CI is been given by:
.52 +/- 1.96*sqrt(.52*.48/580)
=.479 to .561

b.

It says that if you want the 95% Confidence of finding your actual population point estimate of chicken infected with a particular bacterium then the range is .479 to .561. Or within this range there is 95% confidence to find your true point estimate for the variable.

c. NO. it is not valid. For higher population not high as 1 billion we start to get pretty good apprimixations to the normal distributions.

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