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Question: A recent Harris survey of 1961 adults showed that 76% have registered for the “Do Not Call” registry, so that telemarketers do not phone them.

Analyzing the Data:

Completely answer questions 1 - 5.

1. Use the survey results to construct a 95% confidence interval estimate of the percentage of all adults on the “Do Not Call” registry.

2. Identify the margin of error for this survey.  Edit

Answer: 1. p=0.76,n =1961
z_c= 1.96 at 95% confidence.

margin of error, E = sqrt(pq/n)*z_c
= sqrt(0.76*(1-0.76)/1961)*1.96
= 0.0189

95% CI = (p -E, p+E)
= (0.76-0.0189 ,0.76+0.0189 )
= (0.7411, 0.7789) (Ans.)  Edit

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