Dice The seller of a loaded die claims that it will favor the outcome 6. We don't believe that claim, and roll the die 200 times to test an appropriate hypothesis. Our P-value turns out to be 0.03. Which conclusion is appropriate? Explain. a) There's a 3% chance that the die is fair. b) There's a 97% chance that the die is fair. c) There's a 3% chance that a loaded die could randomly produce the results we observed, so it's reasonable to conclude that the die is fair. d) There's a 3% chance that a fair die could randomly produce the results we observed, so it's reasonable to conclude that the die is loaded.

Question

Mathematics

Boris

1 August, 04:07

Dice The seller of a loaded die claims that it will favor the outcome 6. We don't believe that claim, and roll the die 200 times to test an appropriate hypothesis. Our P-value turns out to be 0.03. Which conclusion is appropriate? Explain. a) There's a 3% chance that the die is fair. b) There's a 97% chance that the die is fair. c) There's a 3% chance that a loaded die could randomly produce the results we observed, so it's reasonable to conclude that the die is fair. d) There's a 3% chance that a fair die could randomly produce the results we observed, so it's reasonable to conclude that the die is loaded.

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Reginald Thornton · Answer 1

Option b

Step-by-step explanation:

Given that the seller of a loaded die claims that it will favor the outcome 6.

A hypothesis test was conducted with

H0: p = 1/6

Ha: p>1/6

(one tailed test)

p value = 0.03

Whenever p <0.03 we reject null hypothesis

Hence we find that for p>0.03 we accept that die is fair

b) There's a 97% chance that the die is fair.