Suppose that10% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and25are found to be infested with whitefly.

(a)

Assuming that the experiment satisfies the conditions of the binomial experiment, do the data indicate that the proportion of infested fields is greater than expected? Use thep-value approach, and test using a 5% significance level.

State the null and alternative hypotheses.

H₀:p< 0.1 versusH_a:p> 0.1

H₀:p= 0.1 versusH_a:p> 0.1

H₀:p0.1 versusH_a:p= 0.1

H₀:p= 0.1 versusH_a:p< 0.1

H₀:p= 0.1 versusH_a:p0.1

Find thep-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Since thep-value is less than 0.05,H₀is not rejected. There is sufficient evidence to indicate that the proportion of infested fields is larger than expected.

Since thep-value is greater than 0.05,H₀is not rejected. There is insufficient evidence to indicate that the proportion of infested fields is larger than expected.

Since thep-value is less than 0.05,H₀is rejected. There is sufficient evidence to indicate that the proportion of infested fields is larger than expected.

Since thep-value is greater than 0.05,H₀is rejected. There is insufficient evidence to indicate that the proportion of infested fields is larger than expected.

(b)

If the proportion of infested fields is found to be significantly greater than0.10, why is this of practical significance to the researcher? What practical conclusions might she draw from the results?

The agronomist may determine that an unusually high proportion of infested fields indicates a contagious disease.

The agronomist may determine that because the proportion of infested fields was not unusual, the sampling method was not random.

The agronomist may determine that an unusually low proportion of infested fields might indicate a contagious disease.

The agronomist may determine that because the proportion of infested fields was unusual, no action needs to be taken.

The agronomist may determine that because the proportion of infested fields was not unusual, no action needs to be taken.

You may need to use the appropriateappendix tableto answer this question.