AnswersNC-Math 4Sampling Distribution of the Sample Proportion

Calculating Probabilities for Sampling Distribution Answers

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1
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0✔ 0.36640.63360.9747

A
0
B
✔ 0.3664
C
0.6336
D
0.9747
164000
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What are the shape, mean, and standard deviation of the sampling distribution of ?

Answers:
Shape::approximately Normal
::0.22
::0.0586
164001

0.20✔ 0.220.780.80

A
0.20
B
✔ 0.22
C
0.78
D
0.80
164002

✔ 0.05860.15660.84340.9414

A
✔ 0.0586
B
0.1566
C
0.8434
D
0.9414
164003

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.
164004

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
164005

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.
164006

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
164007

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

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.
164008

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Answer:

164004

164009

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

Question illustration
Answers:
Shape::approximately Normal
::0.22
::0.0586

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