A, b & c Is there a significant difference in the level of community service par

Question

A, b & c Is there a significant difference in the level of community service participation between college and high school graduated According to the 2010 GSS, 38% of 160 college graduates reported volunteering in the previous month compared with 29% of 210 high school graduates. What is the research hypothesis? Should you conduct a one- or a two-tailed test? Why? Present the five-step model, testing your hypothesis at the .05 level. What do you conclude? If alpha were changed to .01, would your decision change?

Explanation / Answer

a) the reaserch hypothesis is about the level of community service participation between college and high school

2 tailed test because we want to see if there is a difference between both proportion

b)

P1= 0.38 p2 = 0.29

Ho : p1 = p2     Ha : p1 is not equal to p2

P = 0.38 *160 + 0.29 *210 / 160+210 = 0.33

Z = ( 0.38-0.29) / srqt (0.33*0.67* 1/160 + 1/210 )

Z = 1.82

critical vlaue for alpha / 2 = 0.025   is 1.96

since Z < critical value we fail to reject ho

conclusion there is no evidenec to support the claim that is a difference beteen collge and high school

c)

alpha / 2= 0.005   critical value : 2.57

no the decision would not change!

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