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according to a 2009 Reader's Digest article, people throw away approximately 16% of what they buy...

according to a 2009 Reader's Digest article, people throw away approximately 16% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 209 grocery shoppers to investigate their behavior. What is the probability that the sample proportion is between 0.1 and 0.16?

Correct answer is 0.4909, can u show me how.

Solutions

Expert Solution

From the given values the population proportion is, p=0.16 and if 209 samples is taken randomly the Z score is applicable for probability calculation as

if the sample proportion is 0.10 then the Z score is

and Z score at 0.16 will be 0 since it is at population proportion. hence

The Probability is calculated using the Z table shown below:

= 0.50-0.0091

=0.4909

milcah answered 1 year ago
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