Answer:
a) p = 0.6346
b) 95% confidence interval
Lower limit: 0.5951
Upper limit: 0.6741
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 572
Number of Santa Fe black-on-whitepots , x = 363
a) proportion of Santa Fe black-on-white potsherds
b) 95% confidence interval
Putting the values, we get:
Lower limit: 0.5951
Upper limit: 0.6741
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
the probability is equal to
P=size of the event space/size of the sample space
In this problem
size of the sample size=area of the rectangular dartboard=
size of the event space=area of the triangular part=
<u>Convert to percentage</u>
therefore
<u>the answer is</u>