Question

According to a candy​ company, packages of a certain candy contain 17​% orange candies. Suppose we examine 300 random candies. a. What value should we expect for our sample percentage of orange​ candies? b. What is the standard​ error? c. Use your answers to fill in the blanks below. We expect​ ____% orange​ candies, give or take​ _____%.

Answer 1

(i) 51

(ii) 0.0216

(iii) 17%; 2.16%

Step-by-step explanation:

(a) Expected value of the candies in the sample to be orange:

= No. of candies examined × Percent of orange candies in packages

= 300 × 0.17

= 51

Therefore, we should expect 17% of the candies in the sample to be orange

(b) Standard error:

`=\sqrt{(P*(1-P))/(N)}`

`=\sqrt{(0.17*(1-0.17))/(300)}`

`=√(0.000470333333)`

= 0.0216

(c) We expect 17% orange candies, give or take 2.16%.