CNBC (2018) reported 53% of households are using streaming services compared to standard cable. What are the expected value and the standard error of the sample proportion derived from a random sample of 600?
A) EP¯ = 0.47 and seP¯ = 0.0204
B) EP¯= 0.0204 and seP¯ = 0.47
C) EP¯= 0.53 and seP¯ = 0.0204
D) EP¯= 0.7115 and seP¯ = 0.0324

Question

Quizplus · Accepted Answer

The expected value (EP¯) of the sample proportion is the population proportion, which is 0.53. The standard error (seP¯) of the sample proportion is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$, where p is the population proportion (0.53) and n is the sample size (600). Plugging in the values gives $\sqrt{\frac{0.53(1-0.53)}{600}} = 0.0204$.

CNBC (2018) Reported 53% of Households Are Using Streaming Services