Question

Q5

Marine scientists categorize signature whistles of bottlenose dolphins by type—type a, type? b, type? c, etc. In one study of a sample of 185 whistles emitted from bottlenose in dolphins captivity, 97 were categorized as type a whistles.

a. Estimate the true proportion of bottlenose dolphin signature whistles that are type a whistles. Use a 99?% confidence interval.

The 99?% confidence interval is ( -------?, -------?). (Round to the nearest hundredth as? needed.)

b. Interpret the result. Choose the correct answer below.

A. We are? 100% confident that the true proportion of bottlenose dolphin signature whistles that are type a whistles is in interval found in previous step.

B. We are 1?% confident that the true proportion of bottlenose dolphin signature whistles that are type a whistles is in interval found in previous step.

C. We are 99?% confident that the true proportion of bottlenose dolphin signature whistles that are type a whistles is not in interval found in previous step.

D. We are 99?% confident that the true proportion of bottlenose dolphin signature whistles that are type a whistles is in interval found in previous step.

Answer 1

Here it is given that in a sample of n=185 whistles emitted from bottlenose in dolphins captivity, x=97 were categorized as type a whistles.

So

a. For 99% CI, z value is 2.58 as

So Margin of Error is

Hence CI is

b. As we know that confidence interval gives the range in which population parameter lies

So answer is D. We are 99?% confident that the true proportion of bottlenose dolphin signature whistles that are type a whistles is in interval found in previous step.