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).

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Answer:

The claimed proportion (population) is

[tex]p=0.11[/tex]

The sample proportion (p-hat) is

[tex]\hat{p}=0.10[/tex]

Step-by-step explanation:

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

[tex]p=0.11[/tex]

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

[tex]\hat{p}=0.10[/tex]

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.