Solution Found!
A major agricultural company is testing a new variety of wheat to determine whether it
Chapter 12, Problem AP4.1(choose chapter or problem)
A major agricultural company is testing a new variety of wheat to determine whether it is more resistant to certain insects than is the current wheat variety. The proportion of a current wheat crop lost to insects is 4%. Thus, the company wishes to test the following hypotheses: H0 : p = 0.04 Ha : p < 0.04 Which of the following significance levels and sample sizes would lead to the highest power for this test? (a) n = 200 and a = 0.01 (b) n = 400 and a = 0.05 (c) n = 400 and a = 0.01 (d) n = 500 and a = 0.01 (e) n = 500 and a = 0.05 AP4
Questions & Answers
QUESTION:
A major agricultural company is testing a new variety of wheat to determine whether it is more resistant to certain insects than is the current wheat variety. The proportion of a current wheat crop lost to insects is 4%. Thus, the company wishes to test the following hypotheses: H0 : p = 0.04 Ha : p < 0.04 Which of the following significance levels and sample sizes would lead to the highest power for this test? (a) n = 200 and a = 0.01 (b) n = 400 and a = 0.05 (c) n = 400 and a = 0.01 (d) n = 500 and a = 0.01 (e) n = 500 and a = 0.05 AP4
ANSWER:Step 1 of 2
The higher the sample size, the more power to detect differences.
The smaller alpha is, the harder it is to reject the null hypothesis, the more likely you are to make a type II error, the lower the power.