Question

A population proportion is 0.57. Suppose a random sample of 663 items is sampled randomly from this population.
a. What is the probability that the sample proportion is greater than 0.59?
b. What is the probability that the sample proportion is between 0.52 and 0.59?
c. What is the probability that the sample proportion is greater than 0.55?
d. What is the probability that the sample proportion is between 0.52 and 0.53?
e. What is the probability that the sample proportion is less than 0.48?

Answer 1

The following information has been provided about the population proportion and the sample size:

Population Proportion =	0.57
Sample Size =	663

We need to compute Based on the information provided, the population men of sample proportions and the corresponding standard error are:

a)

Now, the following is obtained using normal approximation:

b)

Now, the following is obtained using normal approximation:

c)

Now, the following is obtained using normal approximation:

d)

Now, the following is obtained using normal approximation:

e)

Now, the following is obtained using normal approximation: