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%.
