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​ _____%.

Respuesta :

Answer:

(i) 51

(ii) 0.0216

(iii) 17%; 2.16%

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:

[tex]=\sqrt{\frac{P\times(1-P)}{N}}[/tex]

[tex]=\sqrt{\frac{0.17\times(1-0.17)}{300}}[/tex]

[tex]=\sqrt{0.000470333333}[/tex]

= 0.0216

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

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