Question

A produce manager inspects large truckloads of potatoes to determine the proportion with major defects (p). She intends to compute a 95% confidence interval for p. To do so, she selects an SRS of 50 potatoes from the more than 2,000 potatoes in the truck. Suppose that only 2 potatoes sampled are found to have major defects.

1. The P-value of her test is:_____.
a. 0.4082.
b. 0.0918.
c. 0.0400.
d. less than 0.0002.
2. Which of the assumptions for inference about a proportion are violated?
a. the data are an SRS from the population of interest.
b. the population is at least 10 times as large as the sample.
c. n is so large that both np0 and n(1-p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.
d. there appear to be no violations.
3. A 95% plus four confidence interval for the true proportion of potatoes in the truck that have major defects is:____.
a. 0.06±0.026.
b. 0.06±0.051.
c. 0.077±0.026.
d. 0.077±0.051.

Answer 1

1. 0.4082

2. The data are an SRS from the population of interest

3. 0.06 +- 0.051

Explanation:

Hypothesis testing is carried out to give conclusion about data set. The p value determines whether to accept or reject the null hypothesis. Alternative hypothesis is created against the null hypothesis to test the observation of data.