The population proportion of women athletes who graduated from the university is more than 67%.
A random sample of 40 women athletes at the school showed that 23 eventually graduated.
n=40 , X=23 , p0 =67% = 0.67 , alpha = 1% = 0.01
H0: : p0 = 0.67 Vs H1 : p0 < 0.67
Test statistics = (p-p0) / (square root ((p0(1-p0) / n))
p=X/n
H0::p0=0.67 Vs H1:p0<0.67
Test statistics = z = (p-p0) / ( square root ((p0(1-p0)/n))
p=X/n=23/40
z = (0.575-0.67) / (square root (0.67(1-0.67)/40))=-1.278
P - value = P(z < -1.278) = 0.1007
Since the p-value is 0.1007 that is less than the level of significance the decision is to reject the null hypothesis. In conclusion, there is a sufficient evidence to support that the population proportion of women athletes who graduated is now more than 67%.
To know more about population proportion please visit:
https://brainly.com/question/24232216
#SPJ4
