truthqmatic16
04.07.2020 •
Mathematics
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 3% of the actual value? [Hint: proportion est. = 0.5] Round your answer to whole number
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Ответ:
And rounded up we have that n=1068
Step-by-step explanation:
For this case we have the following info given:
the margin of error desired
the level of confidence given
The margin of error for the proportion interval is given by this formula:
(a)
the critical value for 95% of confidence is
We can use as estimator for the population of interest . And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Ответ: