In Example 1.4 we looked to see whether the competent-face method could be used to predict the results of Senate races. We found this method worked in 23 out of 32 races. When testing to see if the probability of this method working is more than 0.50, we obtained a null distribution similar to that shown.

(a)Using the information provided above, determine a 2SD 95%confidenceinterval for the probability the competent-face method will work. (Give all answers to 2 decimal places.)Looking for two answers. Set up as ---- to -----

(b) Based on your confidence interval from part (a) is there strong evidence that the probability that the competent-face method will work is greater than 50%?

Answer choices:

No, because the confidence interval is entirely above 0.50

Yes, because the confidence interval contains 0.50

Yes, because the confidence interval contains 0.50

Yes, because the confidence interval is entirely above 0.50

(c) Should a theory-based approach be used to compute the confidence interval for these data?

Answer choices:

No because there are not at least 10 success and at least 10 failures

Yes because the sample size is at least 20

No because the sample size is not at least 20

Yes because there are not at least 10 success and at least 10 failures