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

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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

 

Expert Solution
Step 1

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:

Statistics homework question answer, step 1, image 1

Step 2

Expected values:

Expected values are the product of the column and row total divided by the table total.

Statistics homework question answer, step 2, image 1

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