Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the true proportion is 0.07.
If 280 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.
According to the given question, Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the true proportion is 0.07.
Therefore
If 280 are sampled so,
Therefore the probability that the sample proportion will differ from the population proportion by less than 0.03
(Round to four decimal places)
Therefore the probability that the sample proportion
will differ from the population proportion by less than 0.03 is
.
The area under the standard normal curve is determined as:
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