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At a school of 900 students, 20% have blue eyes. A student randomly selects 100 students and finds 17% of them have blue eyes. A second student takes another random sample of 90 students and finds 24% of them have blue eyes. Which of the following explains why there is a difference between the two percentages?

a. The sample sizes were both too small.
b.The samples were not random samples.
c. Both samples suffered from non-response bias.
d. Random error; the numbers were different due to variability inherent in sampling.

Sagot :

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Answer:

d.

Step-by-step explanation:

Given that:

In a school;

Population mean = 900

First student:

Sample size  = 100

Sample proportion = 0.17

Second student:

Sample size = 90

Sample proportion = 0.24

The difference between the two percentages is a result of the random error because numbers were not the same as a result of variability inherent in sampling.

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