To test the null hypothesis that computer programmers' college major is not related to their programming capabilities, the work of 100 randomly chosen programmers was rated as either weak or strong. The following crosstabulation was obtained: Programming Capability Major Weak Strong Humanities: 12 12 Science: 12 24 Business: 24 16 a) If the null hypothesis is correct, how many Business majors with weak programming capability would we expect to find in our sample? (That is, what is the expected frequency for that cell?) b) The computed value of χ2 (chi-square) for this table is 5.45. Should the null hypothesis be rejected at the .05 level of significance? (Be sure to show the statistics that lead to your decision.) c) Treating college major as the independent variable, calculate and interpret an appropriate measure of association
To test the null hypothesis that computer programmers' college major is not related to their programming capabilities, the work of 100 randomly chosen programmers was rated as either weak or strong. The following crosstabulation was obtained:
Programming Capability
Major Weak Strong
Humanities: 12 12
Science: 12 24
Business: 24 16
a) If the null hypothesis is correct, how many Business majors with weak programming capability would we expect to find in our sample? (That is, what is the expected frequency for that cell?)
b) The computed value of χ2 (chi-square) for this table is 5.45. Should the null hypothesis be rejected at the .05 level of significance? (Be sure to show the statistics that lead to your decision.)
c) Treating college major as the independent variable, calculate and interpret an appropriate measure of association.
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