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.

orchestra answered 1 year ago

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