Question

In a large population, 67% of the households have cable tv. A simple random sample of 256 households is to be contacted and the sample proportion computed. What is the mean and standard sample proportions?

a) 0.0206

b) 0.4897

c) 0.9794

d) 0.8796

e) 0.1204

f) None of the above

Answer 1

The mean sample proportion is 0.67 and the standard sample proportion is 0.0235.

Step-by-step explanation:

To find the mean of a sample proportion, multiply the proportion (p) by the sample size (n). In this case, the proportion is 0.67 (67% as a decimal) and the sample size is 256. So the mean is 0.67 * 256 = 171.52.

To find the standard deviation of a sample proportion, use the formula: √((p * (1 - p)) / n). Plugging in the values, the standard deviation is √((0.67 * (1 - 0.67)) / 256) = 0.0235.

Therefore, the mean sample proportion is 0.67 and the standard sample proportion is 0.0235.