Question

Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at an archaeological site. At one excavation, a sample of 181 potsherds indicated that 66were of the three-circle, red-on-white pattern.

(a) Find a point estimate *p̂* for the proportion of all
ceramic potsherds at this site that are of the three-circle,
red-on-white pattern. (Round your answer to four decimal
places.)

(b) Compute a 95% confidence interval for the population proportion
*p* of all ceramic potsherds with this distinctive pattern
found at the site. (Round your answers to three decimal
places.)

lower limit | |

upper limit |

Answer #1

Solution :

Given that,

(a)

Point estimate = sample proportion = = x / n = 66 / 181 = 0.3646

1 - = 1 - 0.3646 = 0.6354

Z/2 = 1.96

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.96 * (((0.3646 * 0.6346) / 181)

Margin of error = E = 0.070

(b)

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.3646 - 0.070 < p < 0.3646 + 0.070

0.295 < p < 0.435

**Lower limit: 0.295**

**Upper limit: 0.435**

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pattern. (Round your answer to four decimal places.)
(b) Compute a 95% confidence interval for the population
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ceramic vessels of the Anasazi period found at an archaeological
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ceramic vessels of the Anasazi period found at an archaeological
site. At one excavation, a sample of 175 potsherds indicated that
64 were of the three-circle, red-on-white pattern.
(a) Find a point estimate p̂ for the proportion of all
ceramic potsherds at this site that are of the three-circle,
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(a) Find a point estimate p̂ for the proportion of all
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(b) Compute a 95% confidence interval for the population
proportion p of all ceramic potsherds with this
distinctive pattern found at the site. (Round your answers to three
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lower limit
upper limit

Question #1
Three-circle, red-on-white is one distinctive pattern painted on
ceramic vessels of the Anasazi period found at an archaeological
site. At one excavation, a sample of 163 potsherds indicated that
74 were of the three-circle, red-on-white pattern.
A. Find a point estimate p̂ for the proportion of all ceramic
potsherds at this site that are of the three-circle, red-on-white
pattern. (Round your answer to four decimal places.)
B. Compute a 95% confidence interval for the population
proportion p of...

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