What is 0.38 divided by 81.7?
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Answer:
The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).
Step-by-step explanation:
We have to calculate a 96% confidence interval for the proportion.
We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.
The sample proportion is p=0.8.
The standard error of the proportion is:
The critical z-value for a 96% confidence interval is z=2.054.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 96% confidence interval for the population proportion is (0.77, 0.83).
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