AnswersNC-Math 4Calculating Probabilities for Sampling DistributionQuestion 164007
164007
AssignmentMultiple Choice

Calculating Probabilities for Sampling Distribution

Question 164007 • NC-Math 4

Does this provide convincing evidence against the claim that Carlton and Leon are equally talented bowlers (as measured by their proportion of strikes)?

Answer
A
No, the difference between the sample result and the expected result is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.4096 > 0.05).
B
No, there is a small chance of seeing the sample result. It is unlikely to occur by chance alone.
C
Yes, the difference between the sample results is 3%, which is less than 5%.
D
Yes, the probability of seeing the sample result is so far from expectations that the probability of it occurring by chance alone is very unlikely.

Explanation

If Carlton and Leon are equally talented, differences in their sample strike proportions can occur by chance. The probability of getting a result at least this extreme under that claim is 0.4096, which is greater than the usual 0.05 cutoff for calling a result unlikely. So the difference is not extreme enough to provide convincing evidence against equal talent; choice A is correct.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Assignment
15 verified answers

Sampling Distribution of the Sample Proportion

Assignment
13 verified answers

Sampling Distribution of the Sample Proportion

Assignment
10 verified answers

Assignment