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a psychologist wants to see if people in the us are willing to have a military draft again, so he asked 19 southerners and 35 northeasterners whether they thought military service should be mandatory or optional. his data is below. test to see if there are differences here. use 4 steps and alpha

Respuesta :

The p-value > 0.05, we fail to reject the null hypothesis and we can conclude that there are no differences.

What is the p-value?

The p-value is a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were true. p-values are used in hypothesis testing to help decide whether to reject the null hypothesis.

                  Observed(fo)  

           Southerners    Northeasterners      Total

Optional         6                     18                24

Mandatory 13                     17                        30

Total         19                     35                54

                  Expected(fe)  

           Southerners     Northeasterners Total

Optional         8.44                     15.56                   24

Mandatory 10.56             19.44                   30

Total          19                      35                   54

                  χ² = (fo - fe)²/fe  

            Southerners Northeasterners   Total

Optional          0.708            0.384                  1.092

Mandatory  0.566            0.307                  0.873

Total          1.274            0.691                  1.965

Test statistic:

χ² = 1.97

df=(2-1)*(2-1)=1

p-value =  χ² DIST(1.97,1)=0.1610

Hence, the p-value > 0.05, we fail to reject the null hypothesis and we can conclude that there are no differences.

To learn more about the p-value visit,

https://brainly.com/question/4621112

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