A state is considering legislation to establish a law to help homeless individuals. A sample of 309 individuals regarding their opinions on the potential new law. Is there a relationship between sex and support for this law? Calculate the expected frequencies and compute a chi-square test for a statistically significant relationship between sex and support for the new law. Be sure to round to the second decimal.
Sex |
|||
|
|
Male |
Female |
Support |
For |
98 |
101 |
|
Against |
29 |
81 |
Null Hypothesis:
H0: There exists no relationship between gender and support for the law.
Alternative Hypothesis:
H1: There exists a relationship between gender and support for the law.
Test statistic:
Observed values with marginal totals:
Expected values:
Expected values are the product of the column and row total divided by the table total.
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