Question

In: Statistics and Probability

Exercise 2. Income and commute time. For each problem test the significance the Spearman Rank Correlation...

Exercise 2. Income and commute time. For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the test statistic rs. PLEASE SHOW WORK SO I UNDERSTAND HOW TO DO IT! The table below shows the median income ($1000s) and commuter times (minutes) for a random sample of 6 different places. At α = 0.05, can you reject the claim that there is no correlation between median income and commuting distance?

City Family income Commute time

Woodridge, Illinois 83 27.1

Urbandale, Idaho 82 17.0

La Palma, California 86 26.9

Friendswood, Texas 90 26.0

Suwanee, Georgia 101 32.1

Somers, Connecticut 83 22.6

Solutions

Expert Solution

p=0.20 (80% statistical significance level)

There appears to be a strong positive correlation Rs value (+0.696).

There is a 20% probability that your null hypothesis is correct p=0.20 (80% statistical significance level). So you must accept the null hypothesis that there is no correlation.


Related Solutions

For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the...
For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the test statistic rs. Please show work so i understand how to do it! Exercise 1. Defense and wins. The data in the table below shows the wining percentage and the yards per game allowed in the 2014-15 season for a random sampling of teams. At α = 0.05, can you support the claim that there is a correlation between the winning percentage and the...
For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the...
For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the test statistic rs. Exercise 2. Income and commute time. The table below shows the median income ($1000s) and commuter times (minutes) for a random sample of 6 different places. At α = 0.05, can you reject the claim that there is no correlation between median income and commuting distance? City Family income Commute time Woodridge, Illinois 83 27.1 Urbandale, Idaho 82 17.0 La Palma,...
For the following use the Spearman rank correlation coefficient to test the claim. The overall scores...
For the following use the Spearman rank correlation coefficient to test the claim. The overall scores and the prices for 10 randomly selected computers. The score is based on overall quality of the computer. At a .05 sig. can you conclude there is a correlation between price and score? Utilize excel to show your work. Score 91 94 99 89 86 81 72 85 94 98 86 Price (in dollars) 1250 1500 1495 1150 1195 1685 989 1175 1350 1425...
Calculate the Spearman rank correlation and interpret the results
The following data relates to scores awarded by 2 architects for a certain building design. Calculate the Spearman rank correlation and interpret the results.   Architect No. 1 2 1 37 42 2 28 34 3 30 40 4 18 28 5 31 30 6 40 43
Why is Spearman rank order used for test re-test reliability?
Why is Spearman rank order used for test re-test reliability?
Using excel compute correlation coefficients, correlation matrix and test the significance of the correlation coefficients between...
Using excel compute correlation coefficients, correlation matrix and test the significance of the correlation coefficients between sales with price,  sales with advertisments using alpha 0.05 Sales Price Adver 19.98 14.10 15.19 19.98 18.65 15.19 19.98 18.65 13.87 19.98 18.65 12.83 19.98 18.65 13.16 19.98 18.65 15.19 19.98 18.65 13.92 20.10 18.73 14.42 20.12 18.75 13.83 20.13 18.75 14.50 20.14 18.75 13.87 20.12 18.75 13.64 20.12 13.87 14.31 20.13 14.27 13.85 20.14 18.76 14.20 20.14 18.77 13.64 20.13 13.87 14.33 20.13 14.14...
Test for correlation between Barley and Corn prices using Spearman's rank correlation method, at the 0.05...
Test for correlation between Barley and Corn prices using Spearman's rank correlation method, at the 0.05 significance level. Barley Rank Corn Rank d d^2 4.89 4 3.21 1 3 9 4.52 1 3.22 2 -1 1 4.85 2 3.29 4 -2 4 4.97 6 3.23 3 3 9 5.12 9 3.33 5 4 16 4.91 5 3.4 6 -1 1 5.08 8 3.44 8 0 0 4.98 7 3.49 9 -2 4 4.87 3 3.43 7 -4 16
8.66 Significance Test for Exergaming in Canada. Refer to exercise 8.64. Use a significance test to...
8.66 Significance Test for Exergaming in Canada. Refer to exercise 8.64. Use a significance test to compare the proportions. Write a short statement interpreting this result. 8.64  Exergaming in Canada. Exergames are active video games such as rhythmic dancing games, virtual bicycles, balance board simulators, and virtual sports simulators that require a screen and a console. A study of exergaming practiced by students from grades 10 and 11 in Montreal, Canada, examined many factors related to participation in exergaming.22 Of...
To see if two rankings are related, you can use the ________. a. Runs test b. Spearman correlation coefficient c. Sign test d. Kruskal-Wallis test
To see if two rankings are related, you can use the ________.a. Runs testb. Spearman correlation coefficientc. Sign testd. Kruskal-Wallis test
True or False? With testing the significance of correlation, a hypothesis test can be used to...
True or False? With testing the significance of correlation, a hypothesis test can be used to determine whether the sample correlation coefficient has enough evidence to conclude that the population correlation coefficient is significant.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT