SOLUTION: An urban sociologist interested in neighborliness collected data for a sample of 10 adults on (X) how many years they have lived in their neighborhood and (Y) how many of their nei
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Question 86927This question is from textbook elementary statistics in social research
: An urban sociologist interested in neighborliness collected data for a sample of 10 adults on (X) how many years they have lived in their neighborhood and (Y) how many of their neighbors they regard as friends. Compute a Pearson's correlation coefficient for these data and determine whether the correlation is significant.
X Y
________
1 1
5 4
6 2
1 3
8 5
2 1
5 2
9 6
4 7
2 0
________ This question is from textbook elementary statistics in social research
You can put this solution on YOUR website! An urban sociologist interested in neighborliness collected data for a sample of 10 adults on (X) how many years they have lived in their neighborhood and (Y) how many of their neighbors they regard as friends. Compute a Pearson's correlation coefficient for these data and determine whether the correlation is significant.
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Using the TI-83 Linear Regression program I get an r value of 0.61
which indicates weak positive linear correlation.
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Hypothesis Test Setup:
Ho: rho = 0 (meaning there is no linear correlation)
Ha: rho is not equal to 0 (meaning there is some linear correlation)
Using a Pearson Product-Moment Correlation Coefficient Table
you find (for 10-2 degrees of freedom) the critical value is 0.632
for a two-tailed ted with alpha=5%.
Since 0.61 (the test statistic) is not greater than 0.632 you fail to
reject Ho; you conclude this test did not show significant statistic
evidence of strong linear correlation in the data.
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Cheers,
Stan H.
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