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 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 your answer to four decimal
places.)

(b) Find a 95% confidence interval for *p*. (Round your
answers to three decimal places.)

lower limit | |

upper limit |

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

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

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

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

d. 5% of all confidence intervals 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.

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

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

Yes, the conditions are 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 binomial.

Answer #1

The statistical software output for this problem is:

Hence,

a) Point estimate = **0.6302**

b) Lower limit = **0.591**

Upper limit = **0.670**

95% of the confidence intervals created using this method would
include the true proportion of potsherds. **Option B**
is correct.

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

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 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...

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 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
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.
A random sample of 5140 permanent dwellings on an entire
reservation showed that 1676 were traditional hogans.
(a) Let p be the proportion of all permanent dwellings
on the entire reservation that are traditional hogans. Find a point
estimate for p. (Round your answer to four decimal
places.)
(b) Find a 99% confidence interval for p. (Round your
answer...

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
A random sample of 5000 permanent dwellings on an entire
reservation showed that 1683 were traditional hogans.
(a) Let p be the proportion of all permanent dwellings
on the entire reservation that are traditional hogans. Find a point
estimate for p. (Round your answer to four decimal
places.)
(b) Find a 99% confidence interval for p. (Round your
answer...

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