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aniked
21 day ago
5

A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

n of american teenagers who have a cell phone is 0.29. for samples of size 1,000 that are selected at random from this population, what are the mean and standard deviation, respectively, for the sampling distribution of the sample proportion of american teenagers who have a cell phone?
Mathematics
1 answer:
Svet_ta [9.4K]21 day ago
4 0

Answer:

The average for the sampling distribution of the sample proportion is 0.29

The standard deviation for this sampling distribution is 0.01435

Step-by-step explanation:

The mean of the sampling distribution for the sample proportion equals the actual population proportion, which is p = 0.29 in this scenario.

The standard deviation for the sampling distribution of the sample proportion is computed as follows;

\sqrt{\frac{p(1-p)}{n} }

Utilizing the provided values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation computes to;

\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\

Thus, the standard deviation is 0.01435.

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