According to the results of a survey, 36% of 155 people indicated that American football is their favorite sport. Assuming that the percentage remains the same, how many more people should be surveyed to have a margin of error of 6%? Round up to the nearest whole number, if necessary. QUESTION In order to have a margin of error of 6%, you need to survey more people.
According to the results of a survey, 36% of 155 people indicated that American football is their favorite sport. Assuming that the percentage remains the same, how many more people should be surveyed to have a margin of error of 6%? Round up to the nearest whole number, if necessary.
QUESTION
In order to have a margin of error of 6%, you need to survey more people.
According to given question,
We have:-
Point Estimate of population proportion= 0.36
Margin of error= 0.06 or 6%
Generally used Confidence level = 95% = 0.95
To find :-
We have to find simple size required to estimate population proportion.
Method and formula to find out:-
The sample size (n) is calculated according to the formula:
n = z2 * p * (1 - p) / e2
Where:-
z = 1.96 for a confidence level (α) of 95%,
e = margin of error
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