Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the anasazi period found at the wind mountain archaeological site. at one excavation, a sample of 167 potsherds indicated that 68 were of the three-circle, red-on-white pattern.
a. find a point estimate p for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern.
b. compute a 95 percent confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site.
c. consider the three-circle, red-on-white pattern discussed in the problem above. how many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p-hat of such potsherds is within 6% of the population proportion of three-circle, red-on-white patterns found at this excavation site?

Step-by-step explanation:

Given that three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site

Sample size = 167

3 circle =68

Sample proportion =

a) a point estimate p for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern=0.4072

b) Std error of p =

Margin of error for 95% =

Confidence interval =

c) Margin of error <6% = 0.06

i.e.

3030 ur welcome

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it