In a survey of 1741 US adults, 697 said they think genetically modified food is

Question

In a survey of 1741 US adults, 697 said they think genetically modified food is safe. A 95% confidence interval for the proportion p of all US adults who think genetically modified food is safe, is closest to a) .4 plusminus 0.230 b) .4 plusminus 2.350 c) .4 plusminus 0.039 d) .4 plusminus 0.023 e) none of these. The measured gestation period of six wild boars in Britain yield sample data (in days): 114. 117. 122. 113. 114. 126 Assuming that the population of gestation periods is normally distributed, and 80% confidence interval for the mean gestation period in days of wild boars is about

Explanation / Answer

Sol5:

sample proportion who think genetically modified food is safe

=p^=x/n=697/1741=0.4003

ME=1.96sqrt[0.400(1-0.400)/1741]

=0.023

select Answer D from choices

95%confidence interval for population proportion =sample proportion+- margin of error

=0.4+-0.023

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