A local transportation planning group is concerned about the lack of car-pooling on the part of commuters. They are afraid that the proportion of local drivers car-pooling is below the national...

A local transportation planning group is concerned about the lack of car-pooling on the part of commuters. They are afraid that the proportion of local drivers car-pooling is below the national average of 15%. A survey of 600 local drivers reveals that 13% of them car pool. Is there evidence that the actual proportion of local commuters car-pooling is less than 15%?

a)Test the hypothesis at the 10% significance level.

b)Find thep-value of this test. Is the result statistically significant at the usual α levels; namely 0.01, 0.05, and 0.10?

(Show all your work)