The list shows the numbers of each type of pie baked at a bakery today.
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Answer:
The probability that the sample proportion is more than 0.35 believe movie trailers reveal too much is 0.1539.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
<em>p</em> = 0.32
<em>n</em> = 250
Since the sample size is quite large, i.e. <em>n</em> = 250 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
Compute the probability that the sample proportion is more than 0.35 believe movie trailers reveal too much as follows:
Thus, the probability that the sample proportion is more than 0.35 believe movie trailers reveal too much is 0.1539.