Question

*For this problem, carry at least four digits after the
decimal in your calculations. Answers may vary slightly due to
rounding.*

Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 598 potsherds was found, of which 358 were
identified as Santa Fe black-on-white.

**(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round your answer to four decimal
places.)**

lower limit | |

upper limit |

**Give a brief statement of the meaning of the confidence
interval.**

95% of all confidence intervals would include the true proportion of potsherds.

95% of the confidence intervals created using this method would include the true proportion of potsherds.

5% of all confidence intervals would include the true proportion of potsherds.

5% of the confidence intervals created using this method would include the true proportion of potsherds.

**(c) Do you think that np > 5 and nq
> 5 are satisfied for this problem? Explain why this would be an
important consideration.**

Yes, the conditions are satisfied. This is important because it
allows us to say that *p̂* is approximately binomial.

Yes, the conditions are satisfied. This is important because it
allows us to say that *p̂* is approximately
normal.

No, the conditions are not satisfied. This is important because
it allows us to say that *p̂* is approximately binomial.

No, the conditions are not satisfied. This is important because
it allows us to say that *p̂* is approximately normal.

Answer #1

Part a)

Part b)

n = 598

Lower Limit =

upper Limit =

95% Confidence interval is ( 0.559 , 0.638 )

( 0.559 < P < 0.638 )

95% of the confidence intervals created using this method would
include the true proportion of potsherds.

n p = 598 * 0.5987 = 358.0226 > 5

nq = 598 * ( 1 - 0.5987 ) = 239.9447 > 5

Yes, the conditions are satisfied. This is important because it
allows us to say that *p̂* is approximately binomial.

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 586 potsherds was found, of which 358 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 578 potsherds was found, of which 368 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 586 potsherds was found, of which 358 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal in
your calculations. Answers may vary slightly due to rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 576 potsherds was found, of which 366 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 576 potsherds was found, of which 353 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 596 potsherds was found, of which 353 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 592potsherds was found, of which 358 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round your...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 576 potsherds was found, of which 363 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 570 potsherds was found, of which 353 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe black-on-white
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p̂ =
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