Question

Question 1

In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. A sociologist wishes to estimate the percentage of families that eat dinner together seven nights a week. She wants to her estimate to be within 3% at the 95% confidence level. (Show your work for the following questions.)

a. What size of sample should she take if she uses the 2001 percentage as a prior estimate?

b. What size of sample should she take if she does not use a prior estimate?

Answer 1

given data are:-

margin of error (E) = 3% = 0.03

z critical value for 95% confidence level, both tailed test be:-

a).proportion () = 0.38 [ as she uses the 2001 percentage as a prior estimate, which is 38% ]

the needed sample size be:-

b).proportion () = 0.5 [ as she uses no prior estimate ]

the needed sample size be:-

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