A survey of 2690 musicians showed that 368 of them are left-handed. Find a point estimate for p, the population proportion of musicians that are left-handed.

Question

asked Sep 14, 2021 16.9k views

1 Answer

Niklas Raab · Answer 1 · 2021-09-21T01:37:36+0000

Answer: 0.137.

Explanation:

Let p be the population proportion of musicians that are left-handed.

Given: Sample size : n= 2690 [subset of population]

Number of musicians that are left-handed: x= 368

Then the sample proportion:
$\hat{p}=(368)/(2690)\approx0.137$

Since sample proportion is the best point estimate of the population proportion.

Hence, a point estimate for p, the population proportion of musicians that are left-handed is 0.137.