Question

fifty people are selected randomly from a certain population and it is found that 12 people in the sample are over six feet tall. what is the best point estimate of the proportion of people in the population who are over 6 feet tall?

a. 0.18
b. 0.24
c. 0.76
d. 0.50

Explanation:

Step1: Recall the formula for sample proportion

The formula for sample proportion $\hat{p}$ is $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes (in this case, the number of people over six - feet tall) and $n$ is the sample size.

Step2: Identify the values of $x$ and $n$

Given that $x = 12$ (number of people over six - feet tall in the sample) and $n=50$ (sample size).

Step3: Calculate the sample proportion

Substitute $x = 12$ and $n = 50$ into the formula: $\hat{p}=\frac{12}{50}=0.24$.

Answer:

B. 0.24