Question

A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase. 8. The mean of X is a. 30. b. 525. c. 750. d. 1750.

Answer 1

Answer: 750

Explanation:

From the question,

n=2500

P= 30% = 30/100 = 0.30

X ~ Binomial ( n, P)

E( X ) = n × p = 2500 × 0.30

E (X) = 750

The mean of X is 750