The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monit

Question

The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 17 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 24 do not meet minimum requirements. Assume the data can be treated as independent simple random samples.

The hypotheses to test that the proportions of streams that fail to meet minimum requirements in the two areas are equal or not are H0 : p1 = p2, Ha : p1 ? p2 and the P-value is 0.14.

Which one of the below gives the best conclusion for the test?

A.

The proportions of streams that fail to meet minimum requirements in the two areas are equal, the P-value is greater than 0.05.

B.

There is no evidence that the proportions of streams that fail to meet minimum requirements in the two areas are equal or not.

C.

There is evidence that the proportions of streams that fail to meet minimum requirements in the two areas are equal or not.

D.

The proportions of streams that fail to meet minimum requirements in the two areas are equal, the P-value is less than 0.05.

A.

The proportions of streams that fail to meet minimum requirements in the two areas are equal, the P-value is greater than 0.05.

B.

There is no evidence that the proportions of streams that fail to meet minimum requirements in the two areas are equal or not.

C.

There is evidence that the proportions of streams that fail to meet minimum requirements in the two areas are equal or not.

D.

The proportions of streams that fail to meet minimum requirements in the two areas are equal, the P-value is less than 0.05.

Explanation / Answer

Here, p-value = 0.14.

Assuming standard level of significance i.e. 0.05, we have,

p-value = 0.14 > level of significance = 0.05.

So, we fail to reject the null hypothesis H0, i.e. equality of

two proportions. We conclude that there is no evidence that

the proportions of streams that fail to meet minimum

requirements in the two areas are equal or not.

Hence, Option (B) is the correct choice. (Ans).

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