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.

Respuesta :

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:

[tex]SE_{m} = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem, we have that:

[tex]n = 100, p = 0.38[/tex]

[tex]SE_{m} = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.38*0.62}{100}} = 0.0485[/tex]

The standard error of the proportion is 0.0485.