Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be % confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?
The sample size is n =
Given in the question that, an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones
We must locate How many consumers need the company survey in order to be 90 percent confident that the predicted proportion of customers who click on advertising on their cellphones is within five percentage points of the genuine population proportion?
According to the information, We know that confident level is %,
However, we need to know the estimated (sample) proportion p in order to find localid="1650608891485" . Keep in mind that localid="1650608908717" . However, we don't yet know what localid="1650608912935" is. Because localid="1650608916792" and localid="1650608921420" are multiplied simultaneously, we set them both to localid="1650608941278" because localid="1650608925298" yields the biggest feasible product.
The error in estimating the true value of localid="1650608945447" is localid="1650608949079" than from equation (1)
The Berkman Center Study referenced in Example talked to teens in smaller focus groups but also interviewed additional teens over the phone. When the study was complete, teens had answered the question about their Facebook friends with saying that they have more than friends. Use the“plus-four”methodtofinda% confidence interval for the true proportion of teens that would report having more than Facebook friends based on this larger sample. Compare the results to those in Example .
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