The developer of a new residential area has plans for houses, parks, a school, and a community contre, connected by roads and footpaths. Some of these areas need to be fenced off. The developer proposes to use "solar fences" using vertically mounted bidirectional solar panels, which generate electricity whichever side of the fence the sun is shining on The electricity would be sold to local residents at 10% less than the cost of buying electricity from the local electric utility. This would decrease revenues for the local electric utility which is owned by the city. The city council decides to give planning permission for solar fences if > 50% of residents are in favour. It selects 34 residents at random and finds that 23 of them support the installation of these solar fences Complete parts (a) throuah (c) a) Check whether the city should give planning permission at the 10% significance level using a hypothesis test. Let p be the proportion of people that support the installation of these solar fences. What are the null and alternative hypotheses for the test? OA. Ho p=0.50 vs. HA P/0.50 B. Ho p=0.50 vs. HA p>0.50 OC. Ho p=0.50 vs. HA P<0.50 OD. Ho p/ 0.50 vs HA P=0.50 The test statistic is 1.49 (Round to two decimal places as needed) The P-value is 0.75 (Round to three decimal places as needed) Since the P-value is greater than or equal to a fail to reject the null hypothesis. The result does appear to indicate that the city should give planning permission. b) Check whether the city should give planning permission at the 10% significance level using a confidence interval. The confidence interval is (Round to three decimal nlaces as needed)
The developer of a new residential area has plans for houses, parks, a school, and a community contre, connected by roads and footpaths. Some of these areas need to be fenced off. The developer proposes to use "solar fences" using vertically mounted bidirectional solar panels, which generate electricity whichever side of the fence the sun is shining on The electricity would be sold to local residents at 10% less than the cost of buying electricity from the local electric utility. This would decrease revenues for the local electric utility which is owned by the city. The city council decides to give planning permission for solar fences if > 50% of residents are in favour. It selects 34 residents at random and finds that 23 of them support the installation of these solar fences Complete parts (a) throuah (c) a) Check whether the city should give planning permission at the 10% significance level using a hypothesis test. Let p be the proportion of people that support the installation of these solar fences. What are the null and alternative hypotheses for the test? OA. Ho p=0.50 vs. HA P/0.50 B. Ho p=0.50 vs. HA p>0.50 OC. Ho p=0.50 vs. HA P<0.50 OD. Ho p/ 0.50 vs HA P=0.50 The test statistic is 1.49 (Round to two decimal places as needed) The P-value is 0.75 (Round to three decimal places as needed) Since the P-value is greater than or equal to a fail to reject the null hypothesis. The result does appear to indicate that the city should give planning permission. b) Check whether the city should give planning permission at the 10% significance level using a confidence interval. The confidence interval is (Round to three decimal nlaces as needed)
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:The developer of a new residential area has plans for houses, parks, a school, and a community centre, connected by roads and footpaths. Some of these areas need to be fenced off. The developer proposes to use "solar fences" using vertically
mounted bidirectional solar panels, which generate electricity whichever side of the fence the sun is shining on. The electricity would be sold to local residents at 10% less than the cost of buying electricity from the local electric utility. This would
decrease revenues for the local electric utility which is owned by the city. The city council decides to give planning permission for solar fences if > 50% of residents are in favour. It selects 34 residents at random and finds that 23 of them support
the installation of these solar fences. Complete parts (a) through (c).
a) Check whether the city should give planning permission at the 10% significance level using a hypothesis test.
Let p be the proportion of people that support the installation of these solar fences. What are the null and alternative hypotheses for the test?
OA. Ho p=0.50 vs. HA P0.50
B. Ho p=0.50 vs. HA p>0.50
OC. Ho p=0.50 vs. HA P<0.50
O D. Ho p0.50 vs. HA P=0.50
C
The test statistic is 1.49
(Round to two decimal places as needed.)
The P-value is 0.75
(Round to three decimal places as needed)
Since the P-value is greater than or equal to a, fail to reject the null hypothesis. The result does appear to indicate that the city should give planning permission.
b) Check whether the city should give planning permission at the 10% significance level using a confidence interval.
The confidence interval is
(Round to three decimal places as needed)
X
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 6 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