Question

Pike creek Golf club currently has 375 members who pay annual dues to play golf on the course. Historical records show that 38% of the members use the course at least once a week during the summer season. To verify this, a random sample of 100 members was selected. Calculate the standard error of the proportion.

Answer 1

Answer:

The standard error of the proportion is 0.0485.

Step-by-step explanation:

The standard error of a proportion p in a sample of size n is given by the following formula:

$SE_{m} = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$n = 100, p = 0.38$

$SE_{m} = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.38*0.62}{100}} = 0.0485$

The standard error of the proportion is 0.0485.