Question

Determine the point estimate.

A random sample of 800 people found that 408 celebrate Valentine's Day.
Find a point estimate (p-hat) for p, the population proportion of people who celebrate Valentine's Day.

Answer 1

The point estimate (p-hat) for the population proportion of people who celebrate Valentine's Day is 0.51.

Step-by-step explanation:

To find the point estimate (p-hat) for the population proportion of people who celebrate Valentine's Day, we use the formula p' = x/n, where x represents the number of successes (in this case, the number of people who celebrate Valentine's Day) and n represents the sample size.

Given that the random sample size is 800 and the number of people who celebrate Valentine's Day is 408, we can calculate the point estimate as follows:

p-hat = 408/800 = 0.51.

Therefore, the point estimate for p, the population proportion of people who celebrate Valentine's Day, is 0.51.