Question

In a population, 11% of people are left handed. In a simple random sample of 160 people selected from this population, the proportion of left handers is 0.10. Denote the sample proportion (phat) and the claimed proportion (p0).

Answer 1

The claimed proportion (population) is

`p=0.11`

The sample proportion (p-hat) is

`\hat{p}=0.10`

Explanation:

In the population, we have the parameter p that is 11%.

`p=0.11`

Then, a sample of n=160 is taken and the proportion of the sample is 0.10.

`\hat{p}=0.10`

The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.