Sample surveys show that more people are tracking changes in their health on paper, spreadsheet, mobile device, or just "in their heads." A survey asked a nationwide random sample of 3014 adults, "Now thinking about your health overall, do you currently keep track of your own weight, diet, or exercise routine, or is this not something you currently do?" The population that the poll wants to draw conclusions about is all U.S. residents aged 18 or over. Suppose that, in fact, 61% of all adult U.S. residents would say "Yes" if asked this question.Using Table A, find the (approximate) probability that 1900 or more adults in the sample say "Yes." (Enter your answer rounded to four decimal places.)

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Asked Nov 21, 2019
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Sample surveys show that more people are tracking changes in their health on paper, spreadsheet, mobile device, or just "in their heads." A survey asked a nationwide random sample of 3014 adults, "Now thinking about your health overall, do you currently keep track of your own weight, diet, or exercise routine, or is this not something you currently do?" The population that the poll wants to draw conclusions about is all U.S. residents aged 18 or over. Suppose that, in fact, 61% of all adult U.S. residents would say "Yes" if asked this question.

Using Table A, find the (approximate) probability that 1900 or more adults in the sample say "Yes." (Enter your answer rounded to four decimal places.)

 

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Expert Answer

Step 1

It is given that there are 61% of all adult U.S. residents would say “Yes”.

Thus, probability of getting “Yes” as answer (p) is 0.61.

 

Sample size (n)=3014...

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X~ Вiпотial (n,р) X - Вiпотial (3014,0.61) Here the sample size is large. According to central limit theorem Binomial would be followed normal distribution with mean np and variance np(1-p).

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