Question

In a recent study of the prevalence of a disease, a simple random sample of 35,000 Americans were selected and it was found that 20.1% reported having the disease. A hypothesis test for a difference from the expected 20% was found to be highly significant, though the difference is quite small. The explanation is that it was an aberrant sample. the value of 20.1% is large compared to the hypothesized value of 20%. the sample size is very large. All of the above.

Answer 1

Answer:

The sample size is very large

Step-by-step explanation:

For Incorrect option we have,

When making the comparison between the sample proportion that is 0.201 and the hypothetical proportion that is 0.20. In this way it is possible to conclude that as the sample size increases, it also tends to normal. In this way it can be concluded that it is a non-aberrant sample. The sample proportion and the hypothetical proportion are almost equal.

For correct option we have that

$n=35000$

$p=0.21$

So,

$n*p=7350$

The sample size is greater than 30.

Here, sample size is very large . Hence difference is highly significant.