Question

This Question: 1 pt 3 of 10 (0 This Quiz: 10 pts possible Question Help A random sample of size n 80 yielded p o.60. ct a 90% conf dence interval for p. interval. d Explain what is meant by the phrase "90% confidence interval." a. Is the sample large enough? O A. No, because np c 15 and na 2 15. O B. No, because np <15 and ng < 15 O C. No, because np - 15 and ng < 15 d) D. Yes, because np215and nq215. mpts t of 2 DD b, The 90% confidence interval for p is ( Round to two decimal places as needed.) c. Interpret this confidence interval 0 A. We are confident that 90% of the population is outside re interval for p 0 B. We are confident that 90% of the population is described by the interval forp. ○ C. We are 90% confident that p lies in the confidence interval. 0 D. There is a 90% chance that the value of p is outside the interval d Explain what is meant by the phrase "90% confidence interval- 0 of 6

Answer 1

(a)

n = 80

= 0.6

So,

= 1 - 0.6 =0.4

So,

So,

Correct option:

D. Yes, because n and

(b)

SE =

= 0.10

From Table, critical values of Z = 1.645

Confidence interval:

0.6 (1.645 X 0.0548)

= 0.6 0.0901

= (0.51, 0.69)

So,

90% confidence interval for p is:

(0.51,0.69)

(c)

Correct option:

C. We are 90% confident that p lies in the confidence interval.

(d)

Correct option:

B. 90% of similarly constructed confidence intervals would contain the true parameter value.