AnswersNC-Math 4Sampling Distribution of the Sample ProportionQuestion 5
5
AssignmentMultiple Choice

Sampling Distribution of the Sample Proportion

Question 5 • NC-Math 4

Does this result provide convincing evidence against the poll’s claim?

Answer
A
No, the difference between the sample result and what we expected is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.3664 > 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 result and the parameter (2%) is less than 5%.
D
Yes, the probability of seeing the sample result is so far from what we expected that the probability of it occurring by chance alone is very unlikely.

Explanation

A probability of 0.3664 is greater than the usual 0.05 cutoff for deciding that a result is statistically significant. So the observed difference is not unusual enough to count as convincing evidence against the poll’s claim; it could reasonably occur by chance alone. Choice A states this conclusion.

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