Rat damage to sugarcane fields. Poisons are used to

Chapter 8, Problem 113SE

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QUESTION:

Rat damage to sugarcane fields. Poisons are used to prevent rat damage in sugarcane fields. The U.S. Department of Agriculture is investigating whether the rat poison should be located in the middle of the field or on the outer perimeter. One way to answer this question is to determine where the greater amount of damage occurs. If damage is measured by the proportion of cane stalks that have been damaged by rats, how many stalks from each section of the field should be sampled to estimate the true difference between proportions of stalks damaged in the two sections to within .02 with 95% confidence?

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QUESTION:

Rat damage to sugarcane fields. Poisons are used to prevent rat damage in sugarcane fields. The U.S. Department of Agriculture is investigating whether the rat poison should be located in the middle of the field or on the outer perimeter. One way to answer this question is to determine where the greater amount of damage occurs. If damage is measured by the proportion of cane stalks that have been damaged by rats, how many stalks from each section of the field should be sampled to estimate the true difference between proportions of stalks damaged in the two sections to within .02 with 95% confidence?

ANSWER:

Step 1 of 4

In order to investigate whether the rate poison will be located in the middle of the ?eld or

The outer perimeters of the ?eld, the proportion of cane stocks are considered.

The estimate of the true difference between means should be within the .

So the margin error of di?erence of means is ME =

.

The con?dence level is 95%.

The two samples are of equal sizes so

That is the margin of error is ME = 0.02.

The confidence level 95%,

The sample sizes are considered as equal.

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