Question

An agricultural researcher wishes to see if a kelp extract prevents frost damage on tomato plants. two similar small plots are going to be planted with the same variety of tomato. plants in both plots are treated identically, expect the plants on plot 1 are going to be sprayed weekly with a kelp extract while the the plants in a plot 2 are not. let p1 and p2 be the actual proportion of all tomatoes of this variety that would experience crop damage under the kelp and no kelp treatments, respectively, when grown under conditions similar to those in the experiment. which of the following results would indicate that a difference exists between the two treatments?
(a) the 95% confidence interval for p1-p2 is (-0.279, -0.035).
(b) the 95% confidence interval for p1-p2 is (-0.279, 0.035)
(c) the 95% confidence interval for p1-p2 is (0.0279, 0.350)
(d) all of the above
(e) only (a) and (c)

Answer 1

Answer:

(E). only (a) and (c)

Step-by-step explanation:

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

To indicate that difference exists between the two treatments, then we must reject the null and confidence interval must show that the difference between the two treatment is significant.

In other to use confidence interval to test for significance ; Intervals which do not contain 0 implies that difference exists and hence, the difference is significant.

The interval Given by : (-0.279, -0.035) is significant as the interval does not contain 0.

The interval Given by : (0.279, 0.035) is significant as the interval does not contain 0.

The interval Given by : (-0.279, 0.035) is not significant as the interval contains 0.