You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit

= 0.3114 ± 1.96

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

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