Rachel, a city employee, would like to make the claim that the average amount that residents spend per month on public transit fare is less than $140. Rachel samples 25 city residents and obtains a sample mean of $125.80 spent per month on public transit. At the 5% significance level, should Rachel reject or fail to reject the null hypothesis given the sample data below? Ho : µ = $140 per month; H. : µ < $140 per month • a = 0.05 (significance level) • test statistic = -0.52 Use the graph below to select the type of test (left-, right-, or two-tailed). Then set the a and the test statistic to determine the p-value. Use the results to determine whether to reject or fail to reject the null hyp esis. Alternatively, find the p-value using the table below: 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -0.9 0.184 0.181 0.179 0.176 0.174 0.171 0.1690.166 0.164 0.161 -0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245 -0.5 0.309 0.305 0.302 0.298 0.2950.291 0.288 0.284 0.281 0.278 -0.4 0.345 0.341 0.3370.334 0.330 0.326 0.323 0.319 0.3160.312 -0.30.3820.378 0.3740.371 0.3670.363 0.359 0.356 0.352 0.348
Rachel, a city employee, would like to make the claim that the average amount that residents spend per month on public transit fare is less than $140. Rachel samples 25 city residents and obtains a sample mean of $125.80 spent per month on public transit. At the 5% significance level, should Rachel reject or fail to reject the null hypothesis given the sample data below? Ho : µ = $140 per month; H. : µ < $140 per month • a = 0.05 (significance level) • test statistic = -0.52 Use the graph below to select the type of test (left-, right-, or two-tailed). Then set the a and the test statistic to determine the p-value. Use the results to determine whether to reject or fail to reject the null hyp esis. Alternatively, find the p-value using the table below: 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -0.9 0.184 0.181 0.179 0.176 0.174 0.171 0.1690.166 0.164 0.161 -0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245 -0.5 0.309 0.305 0.302 0.298 0.2950.291 0.288 0.284 0.281 0.278 -0.4 0.345 0.341 0.3370.334 0.330 0.326 0.323 0.319 0.3160.312 -0.30.3820.378 0.3740.371 0.3670.363 0.359 0.356 0.352 0.348
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Topic Video
Question
100%
Transcribed Image Text:Move the blue dot to choose the appropriate test
Significance level = 0.05
a=0.01
a=0.025
a=0.05
a=0.1
p-value= 0.166
test statistic = 9 97 645
powered by
desmos
Select the correct answer below:
O Reject the null hypothesis because the value of z is negative.
O Do not reject the null hypothesis because |–0.52| > 0.05.
O Reject the null hypothesis because the p-value 0.3015 is greater than the significance level a = 0.05.
O Do not reject the null hypothesis because the p-value 0.3015 is greater than the significance level a = 0.05.
O Reject the null hypothesis because |–0.52| > 0.05.
Transcribed Image Text:Question
Rachel, a city employee, would like to make the claim that the average amount that residents spend per month on public
transit fare is less than $140. Rachel samples 25 city residents and obtains a sample mean of $125.80 spent per month on
public transit.
At the 5% significance level, should Rachel reject or fail to reject the null hypothesis given the sample data below?
• Ho : µ = $140 per month; Ha : µ < $140 per month
• a = 0.05 (significance level)
• test statistic = -0.52
Use the graph below to select the type of test (left-, right-, or two-tailed).
Then set the and the test statistic to determine the p-value. Use the results to determine whether to reject or fail to reject
the null hypothesis.
Alternatively, find the p-value using the table below:
0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-0.9 0.184 0.181 0.179 0.176 0.1740.171 0.1690.166 0.164 0.161
|-0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245
|-0.5 0.309 0.305 0.302 0.298 0.295 0.291 0.2880.2840.281 0.278
|-0.4 0.345 0.341 0.337 0.334 0.3300.326 0.323 0.319 0.316 o.312
-0.3 0.382 0.3780.374 0.371 0.367 0.363 0.359 0.356 0.352 0.348
Move the blue dot to choose the appropriate test
Significance level = 0.01
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 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
