For this problem, carry at least four digits after the decimal in your calculations. answers may vary slightly due to rounding. in a random sample of 67 professional actors, it was found that 40 were extroverts.

(a) let p represent the proportion of all actors who are extroverts. 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 two decimal places.)

lower limit

upper limit

a. A point estimate for p is 0.597 .

b. The 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

Step-by-step explanation:

Given : Sample size of professional actors : n= 67

Number of extroverts : x= 40

Let p represent the proportion of all actors who are extroverts.

a. The point estimate for p = sample proportion =

b. Confidence interval for population proportion :

Since the critical value for 95% confidence interval is 1.96 , so the 95% confidence interval for p would be

In the 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

the upper limit is 0.58

The lower limit is 0.56

Step-by-step explanation:

Total number of professional actors that was sampled is 67. it was found that 40 were extroverts.

a) the proportion of all actors who are extroverts would be

p = 40/70 = 0.5714

Therefore, the proportion of all actors who are not extroverts would be

q = 1 - p = 1 - 0.5714 = 0.4286

b) The formula for determining the confidence interval for a population proportion is expressed as

p ± z[p(1 - p)/n

The z value for a 95% confidence level is 1.96.

Therefore

Confidence interval

= 0.5714 ± 1.96[0.5714(1 - 0.5714)/67

= 0.5714 ± 1.96(0.2449/67)

= 0.5714 ± 0.00716

The upper limit would be

0.5714 + 0.00716 = 0.58

The lower limit would be

0.5714 - 0.00716 = 0.56

answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: