Question

1. You will need to determine p and p to use Normal Probability Calculator
   It has been reported that 28% of all Californians have visited Yosemite National Park. A pollster samples 1000 Californians and determines that 240 of them have visited Yosemite National Park.

2. 1. Determine the probability the sample proportion is between 0.2 and 0.3.

Answer 1

As we are given the population proportion as 0.28, for a sample size of 1000, the probability distribution of the sample proportion here is given using the normal approximation as:

The probability here is computed as:
P(0.2 < p < 0.3)

Converting it to a standard normal variable, we have here:

Getting it from the standard normal tables, we have here:

Therefore 0.9205 is the required probability here.