Question

Answer the next three questions. A poll of 1,200 votors asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important. Fill in the blanks X = number of voters in the sample who said the economy is the most important issue in the upcoming election P= Proportion of voters who feel the economy is the most important = What is the standard error of the sample proportion (4 decimal places) -

Answer 1

Total number of poll, n=1200 and p hat= 65% answered economy. Then,

$\hat{p} =\frac{X} {n}$

Form abive equation

$X=\hat{p} *n =0.65*1200 =780$​​​​​​.

$\hat{p} =0.65$​​​​​​.

Standard error of sample proportion is given by

$\sqrt(n*\hat{p} (1-\hat{p})) =\sqrt(1200*0.65*0.35) =16.523$