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. there’s a 3% chance that the die is fair. there’s a 97% chance that the die is fair. 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. 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.

Option 3 - 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.

Step-by-step explanation:

Given : 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.

To find : Which conclusion is appropriate? Explain.

Solution :

Our P-value turns out to be 0.03.

i.e.

As die favors 6 (when no favoring, we have 1 chance in 6 to roll a 6).

The claim is either the null hypothesis or the alternative hypothesis.

i.e. Null hypothesis

Alternative hypothesis

The P-value is the probability of obtaining the value of the test statistic, when the hypothesis is true.

In this case,

There is a 3% chance of obtaining a sample proportion higher than , when the die is not loaded or fair.

So, option 3 is correct.

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.

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

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