Question

A marketing team is targeting people who might buy a hybrid car. In their city, with a population of 30,000 people, 3,170 people either drive a hybrid car or have indicated on a recent survey that they would be interested in driving one. Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n = 121. Round all answers to 3 decimal places.

Population proportion = _______
Mean = _______
Standard deviation = _______

Answer 1

The population proportion is 0.1057. The mean is 0.1057. The standard deviation is 0.0319.

Step-by-step explanation:

To find the population proportion, divide the number of people interested in driving a hybrid car by the total population. In this case, the population proportion is 3170/30000 = 0.1057.

To find the mean of the sampling distribution, it is equal to the population proportion. Therefore, the mean is 0.1057.

The standard deviation of the sampling distribution can be calculated using the formula: sqrt((p*(1-p))/n), where p is the population proportion and n is the sample size. In this case, the standard deviation is sqrt((0.1057*(1-0.1057))/121) = 0.0319.