AnswersNC-Math 4Sampling Distribution of the Sample Proportion

Sampling Distribution of the Sample Proportion Answers

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What are the shape, mean, and standard deviation of the sampling distribution of ? Shape: : :

Answers:
Selection 1:approximately Normal
Selection 2:0.22
Selection 3:0.0586
2
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3

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A
0
B
0.3664
C
0.6336
D
0.9747
5

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

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.
6

A fair coin is flipped 90 times. What is the probability that more than two-thirds of the tosses result in tails?If needed, use the z-table to answer the question.

A
0
B
0.0008
C
0.5
D
0.9992
7

A fair coin is flipped 90 times. The probability that more than two-thirds of the tosses result in tails is 0.0008. Is this convincing evidence against the claim that the coin is fair?

A
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 (0.0008 < 0.05).
B
Yes, we would expect half of the tosses to result in heads. The difference between half and two-thirds is too large to have happened by accident.
C
No, the difference between the sample result and what we expected is not extreme enough.
D
No, there is an extremely small chance of seeing the sample result. It must have occurred by chance alone.
8

What is the probability that Leon’s proportion of strikes is greater than Carlton’s for these games?If needed, use the z-table to answer the question.

A
0.324
B
0.4096
C
0.5904
D
0.676
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