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 400 local drivers reveals that 12.22% of them car pool. Is there evidence that the actual proportion of local commuters car-pooling is less than 15%? Test at the 10% level of significance.
H0 : P = 0.15 against H1: P < 0.15
Test statistic
Z = (.122 - .15 ) / = -1.56
Since p-value = P(Z < -1.56 ) = 0.0594, we reject null hypothesis at ? = 0.10. There is sufficient evidence that the actual proportion of local commuters car-pooling is less than 15%.
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