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 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 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.

5% 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. 95% of the confidence intervals created using this method would include the true proportion of potsherds.95% 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.No,
the conditions are not 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.Yes, the conditions are
satisfied. This is important because it allows us to say that
*p̂* is approximately binomia

Answer #1

solution:-

given that n = 576 , x = 366

(a) point estimate for p = x/n = 366/576 = 0.6354

(b) the value of 95% confidence from z table is 1.96

confidence interval formula

=> p +/- z * sqrt(p*(1-p)/n)

=> 0.6354 +/- 1.96 * sqrt(0.6354*(1-0.6354)/576)

=> (0.596 , 0.675)

lower limit = 0.596

upper limit = 0.675

Give a brief statement of the meaning of the confidence
interval

=> 95% 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 normal

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 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
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 5,020 permanent dwellings on an entire reservation
showed that 1,578 were traditional hogans.
(a) Let p be the proportion of all permanent dwellings on the
entire reservation that are traditional hogans. Find point
estimates for p and q. (Round your answer to four decimal
places.)
p̂ =
q̂ =
(b) Find a 99% confidence interval...

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