Please provide complete and detail solutions. Please do it by hand not by comput

Question

Please provide complete and detail solutions. Please do it by hand not by computer software. Thank you!

This is some data adapted from an April 2009 CBS News/NY Times poll. A sample of 873 people were divided by race and gender and then asked whether they thought that the country was on the right track or the wrong track. I want to test whether race and gender are affecting whether people think that the country is on the right or wrong track. Use the appropriate chi_2 test to test whether people's opinions on how the country is doing is marginally independent of minority status and gender. Use alpha = 0.05.

Explanation / Answer

H0: There is independent of minority status and Women

H1: There is not independent of minority status and Women

Let the LOS be alpha = 5%

The observed frequencies are

The expected frequencies are

The test statistic chisquare value is calculated as

Degrees of freedom: 2

Test Statistic, X^2: 44.7641
Critical X^2: 5.991471
P-Value: 0.0000

Here, P-value < alpha 0.05, we do not accept H0

Thus, we conclude that   minority status and Women is not independent

For MEN

H0: There is independent of minority status and men

H1: There is not independent of minority status and men

Let the LOS be alpha = 5%

The observed frequencies are

The expected frequencies are

The chisquare test statistic is calculated as follows

Degrees of freedom: 2

Test Statistic, X^2: 12.4827
Critical X^2: 5.991471
P-Value: 0.0019

Here P< alpha 0.05 we do not accept H0

Thus, we conclude that   minority status and men is not independent

Right Track Wrong Track Don't Know Total White 122 200 36 358 Minority 93 36 10 139 Total 215 236 46 497

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