A quality control specialist tests samples of the seed being packaged and uses a chi-square goodness-of-fit test to see whether the proportions in the samples match what is claimed by the company. Which of the following best describes the null hypothesis and the alternative hypothesis for the test? A) H0: p=0.20 Ha: p≠0.20 B) H0: pF=0.20, pB=0.20, pBG=0.20, pI=0.20, pNG=0.20 Ha: At least one of the proportions is different. C) H0: pF=0.55, pB=0.22, pBG=0.10, pI=0.07, pNG=0.06 Ha: At least one of the proportions is different. D) H0: All proportions are equally likely. Ha: All of the proportions are different. E) H0: There is no association between the grass-seed types. Ha: There is an association between the grass-seed types.
A quality control specialist tests samples of the seed being packaged and uses a chi-square goodness-of-fit test to see whether the proportions in the samples match what is claimed by the company. Which of the following best describes the null hypothesis and the alternative hypothesis for the test?
A) H0: p=0.20 Ha: p≠0.20
B) H0: pF=0.20, pB=0.20, pBG=0.20, pI=0.20, pNG=0.20 Ha: At least one of the proportions is different.
C) H0: pF=0.55, pB=0.22, pBG=0.10, pI=0.07, pNG=0.06 Ha: At least one of the proportions is different.
D) H0: All proportions are equally likely. Ha: All of the proportions are different.
E) H0: There is no association between the grass-seed types. Ha: There is an association between the grass-seed types.
Answer
Answer: B) H0: pF=0.20, pB=0.20, pBG=0.20, pI=0.20, pNG=0.20 Ha: At least one of the proportions is different.
Explanation: In a chi-square goodness-of-fit test, the null hypothesis specifies that the proportions in the sample match the claimed proportions, while the alternative hypothesis suggests that at least one proportion differs from what is claimed.
Sourav
