Asample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of california. a random sample of 500 registrations are selected from a department of motor vehicles database, and 64 are classified as sports utility vehicles. (a) use a 95% confidence interval to estimate the proportion of sports utility vehicles in california. (round your answers to three decimal places.)

Step-by-step explanation:

We know that the confidence interval for population standard deviation is given by :-

, where , n= sample size.

= sample proprotion.

z* = critical z-value.

Given : A random sample of 500 registrations are selected from a Department of Motor Vehicles database, and 64 are classified as sports utility vehicles.

i.e.  n= 500

We know that critical z-value for 95% confidence = z*=1.96

Then, the 95% confidence interval to estimate the proportion of sports utility vehicles in California will be :-

Hence, the 95% confidence interval to estimate the proportion of sports utility vehicles in California. =

the answer is a.

step-by-step explanation:

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