Suppose that the proportion of citizens in a local community who use bus transportation was reported to be 10.2%. Assume that this report was based on a random sample of four hundred citizens. (a) The local mayor wants to know if the sample results can be used to conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. Develop a hypothesis test that can be used to see if the conclusion that the proportion of bus riders in the local community is higher than the national average can be supported. Ho: p2 0.079 H:p< 0.079 Ho: p< 0.079 H:p2 0.079 Ho: pS 0.079 H:p > 0.079 Ho: p> 0.079 H:ps 0.079 O Ho: P = 0.079 H:p 0.079 (b) Use the sample data collected for the local community to compute the p-value for the hypothesis test in part (a). Using a = 0.05, what is your conclusion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We can conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. O Reject H. We can conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. ODo not reject Ho: We can not conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. Reject Ho. We can not conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. (c) Explain to the mayor what can be said about the observed level of significance for the hypothesis testing results using the p-value. The observed level of significance is -Select-- a, therefore the results-Select-o statistically significant. At the given a we -Select- o reject the null hypotheses and conclude that sufficient evidence --Select- O to support the conclusion that the proportion of bus riders in the local community was higher than the national average.
Suppose that the proportion of citizens in a local community who use bus transportation was reported to be 10.2%. Assume that this report was based on a random sample of four hundred citizens. (a) The local mayor wants to know if the sample results can be used to conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. Develop a hypothesis test that can be used to see if the conclusion that the proportion of bus riders in the local community is higher than the national average can be supported. Ho: p2 0.079 H:p< 0.079 Ho: p< 0.079 H:p2 0.079 Ho: pS 0.079 H:p > 0.079 Ho: p> 0.079 H:ps 0.079 O Ho: P = 0.079 H:p 0.079 (b) Use the sample data collected for the local community to compute the p-value for the hypothesis test in part (a). Using a = 0.05, what is your conclusion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We can conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. O Reject H. We can conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. ODo not reject Ho: We can not conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. Reject Ho. We can not conclude that the proportion of bus riders in the local community is significantly higher than the national average of 7.9%. (c) Explain to the mayor what can be said about the observed level of significance for the hypothesis testing results using the p-value. The observed level of significance is -Select-- a, therefore the results-Select-o statistically significant. At the given a we -Select- o reject the null hypotheses and conclude that sufficient evidence --Select- O to support the conclusion that the proportion of bus riders in the local community was higher than the national average.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
Suppose that the proportion of citizens in a local community who use bus transportation was reported to be 10.2%. Assume that
this report was based on a random sample of four hundred citizens.
(a) The local mayor wants to know if the sample results can be used to conclude that the proportion of bus riders in the local
community is significantly higher than the national average of 7.9%. Develop a hypothesis test that can be used to see if
the conclusion that the proportion of bus riders in the local community is higher than the national average can be supported.
Ho: p2 0.079
H:p< 0.079
Ho: p< 0.079
H:p2 0.079
Ho: Ps 0.079
H:p > 0.079
Ho:p > 0.079
H:ps 0.079
O Ho: P = 0.079
H:p+ 0.079
(b) Use the sample data collected for the local community to compute the p-value for the hypothesis test in part (a). Using
a = 0.05, what is your conclusion?
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject Ho. We can conclude that the proportion of bus riders in the local community is significantly higher than
the national average of 7.9%.
O Reject Ho. We can conclude that the proportion of bus riders in the local community is significantly higher than the
national average of 7.9%.
O Do not reject H. We can not conclude that the proportion of bus riders in the local community is significantly higher
than the national average of 7.9%.
O Reject Ho. We can not conclude that the proportion of bus riders in the local community is significantly higher than the
national average of 7.9%.
(c) Explain to the mayor what can be said about the observed level of significance for the hypothesis testing results using the
p-value.
The observed level of significance is -Select- o a, therefore the results -Select- o statistically significant. At the
given a we -Select- o reject the null hypotheses and conclude that sufficient evidence -Select---
o to support the
conclusion that the proportion of bus riders in the local community was higher than the national average.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman