Please show work, running into trouble. Is this correct? Marine scientists categ
ID: 3360684 • Letter: P
Question
Please show work, running into trouble. Is this correct?
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 whistiles emitted from bottlenose dolphins in captivity, 95 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 (10 447-10 591). (Round to the nearest hundredth as needed.) b. Interpret the result. Choose the correct answer below. O A O B O c We are 1% confident that he true proportion of bottlenose dolphin signature whistles hat are type a whistles isin interval oundi previous step. We are 100% confident that the true proportion of bottlenose dolphin signature whistles that are type a whistles is interval ound evious ste 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.Explanation / Answer
n = 185 p^ = 95/185
z = 2.576
a. Let the interval be (a,b).
a = 95/185 - 2.576 * ((95/185) * (90/185) / 185)
= 0.42.
b = 95/185 + 2.576 * ((95/185) * (90/185) / 185)
= 0.61.
The interval is (0.42, 0.61)
Please note that the question asks to round to the nearest hundredth!
b. The correct 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.