This Question: 3 pts 2 of 10 (0 complete) This Quiz: 20 pts poS Marine scientist

Question

This Question: 3 pts 2 of 10 (0 complete) This Quiz: 20 pts poS Marine scientists categorize signature whistles of bottlienose dolphins by type-type a, type b, type c, etc. In one study of a sample of 185 whistles emitted from bottlenose dolphins in captivity, 99 were categorized as type a whisties a. Estimate the true proportion of bottlenose dolphin signature whistles that are type a whistles. Use a 95% confdence interval. The 95% 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 bottenose dolphin signature whistles that are type a whites is in interval found in previous step OB we are 95% confident that the true proportion of bottle ose do hin s gnature whistles that are type a wh sties is in interval found i previous step ? c. We are 95% confident that the true proportion of botter ose dolphin signature whistles that are type a whistes is not in inte al und n previous step. ? D we are 5% oor fident that the t ue proportion of bottlenose dolphin signature whistes that are type a whistles is in interval found in previous step Click to select your answers). 2 3 4 5 6 9

Explanation / Answer

a)
n = 185
p = 0.5351
z-value of 95% CI = 1.9600
SE = sqrt(p*(1-p)/n) = 0.03667
ME = z*SE
= 1.96 * 0.03667
= 0.07187
Lower Limit = p - ME
= 0.5351 - 0.07187
= 0.46323
Upper Limit = p + ME
= 0.5351 + 0.07187
= 0.60697

The 95% CI is (0.4632 , 0.607 )

b)
Correct answer is option B)

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