A poll found that people from the north now have relatively warm feelings toward

Question

A poll found that people from the north now have relatively warm feelings toward people from the south. A poll, conducted by telephone among a random sample of 1332 adults, found that 746 of those sampled consider the two regions friends. The margin of error for the poll was plus or minus 2.7 percentage points (for a 0.95 confidence level). Use this information to obtain a 95% confidence interval for the percentage of all northerners who consider two regions friends. The 95% confidence interval is from (Type an integer or a decimal rounded to one decimal place as needed.)

Explanation / Answer

p = 746/1332 = 0.56

E = 0.027

Confidence interval = (p - E , p + E)

= (0.56-0.027 , 0.56+0.027)

= (0.533 , 0.587)

Confidence interval = (53.3% to 58.7%)

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