The department of transportation would like to test the hypothesis

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 10 years. A random sample of 50 cars had an average age of 9.5 years. It is believed that the population standard deviation for the age of cars is 3.4 years. The Department of Transportation would like to set α = 0.10. Which one of the following statements is true

 

Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average age of cars on the road is less than 10 years.

Because the p-value is greater than α, we reject the null hypothesis and cannot conclude that the average age of cars on the road is less than 10 years.

Because the p-value is less than α, we reject the null hypothesis and conclude that the average age of cars on the road is less than 10 years.

 

D) 

Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average age of cars on the road is less than 10 years. 

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