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.

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.