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 the p-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)
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 the p-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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 the p-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)
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