A spinner made for a game of chance has 8 equally likely spaces. Alfonso records the result of a sample of 400 spins. Alfonso decides to calculate a chi-square test statistic for a goodness-of-fit test to see whether the spinner is fair. Which of the following is the appropriate null hypothesis? A) H0 =0.125,p2=0.125,p3=0.125,p4=0.125,p5=0.125,p6=0.125,p7=0.125,p8=0.12 B) H0:H0: At least one proportion is different. C) H0 =0.125 D) H0 ≠0.125,p2≠0.125,p3≠0.125,p4≠0.125,p5≠0.125,p6≠0.125,p7≠0.125,p8≠0.125 E) H0 =0.08,p2=0.08,p3=0.08,p4=0.08,p5=0.08,p6=0.08,p7=0.08,p8=0.08
A spinner made for a game of chance has 8 equally likely spaces. Alfonso records the result of a sample of 400 spins. Alfonso decides to calculate a chi-square test statistic for a goodness-of-fit test to see whether the spinner is fair. Which of the following is the appropriate null hypothesis?
A) H0
=0.125,p2=0.125,p3=0.125,p4=0.125,p5=0.125,p6=0.125,p7=0.125,p8=0.12
B) H0:H0: At least one proportion is different.
C) H0
=0.125
D) H0
≠0.125,p2≠0.125,p3≠0.125,p4≠0.125,p5≠0.125,p6≠0.125,p7≠0.125,p8≠0.125
E) H0
=0.08,p2=0.08,p3=0.08,p4=0.08,p5=0.08,p6=0.08,p7=0.08,p8=0.08
Answer
Answer: A) H0
=0.125,p2=0.125,p3=0.125,p4=0.125,p5=0.125,p6=0.125,p7=0.125,p8=0.125
Explanation: For a chi-square goodness-of-fit test for a fair spinner, the null hypothesis states that each of the 8 categories (spaces) is equally likely, with each having a probability of 0.125.
Sourav
