Answer:
Mean = 76
Standard deviation = 0.043
Step-by-step explanation:
We are given that in a large population, 76% of the households own microwaves. Also, a simple random sample of 100 households is to be contacted and the sample proportion computed.
The above situation can be represented as a Binomial distribution where;
Let X = Proportion of households who own microwaves, i.e;
X ~
Here, n = sample size
p = probability of success
So, the mean of the sampling distribution of the sample proportions is given by, = n * p = 100 * 0.76 = 76 .
Standard deviation of the sampling distribution of the sample proportions, σ = = = 0.043 .
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