A survey was conducted to find out if there is an association between regions of

Question

A survey was conducted to find out if there is an association between regions of residency and the population opinion on if it should the government require a background check for all gun buyers. For this purpose, a random sample of US adults in urban, suburban and rural regions was collected and asked if they support or oppose requiring background check for all gun buyers. A study is conducted with 95% level of significance. Data was collected: 1- State the HO hypothesis 2- State the Ha hypothesis 3- Write both hypothesis is symbols

Explanation / Answer

Here null hypothesis: Ho: response and regions are independent to each other

alternate hypothesis: Ha: response and regions are not independent to each other.

fro above chi stat 2.027 ; p value =0.3629

as p value is not significant; we can not reject null hypothesis.

Observed O Urban Suburban Rural Total Support 724 376 376 1476 Oppose 276 124 124 524 Total 1000 500 500 2000 Expected E=rowtotal*column total/grand total Urban Suburban Rural Total Support 738.000 369.000 369.000 1476 Oppose 262.000 131.000 131.000 524 Total 1000 500 500 2000 chi square =(O-E)^2/E Urban Suburban Rural Total Support 0.266 0.133 0.133 0.531 Oppose 0.748 0.374 0.374 1.496 Total 1.014 0.507 0.507 2.027

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