According to the Bureau of Labor Statistics the proportion o

According to the Bureau of Labor Statistics, the proportion of American women who graduated from high school in 2011 and went on to college was 0.723. You wonder whether the proportion of female graduates who enrolled in college from your school district in your county in 2011 is different from the national average. You obtain graduation information from an SRS of 40 female 2011 graduates and find that pˆ=0.625. What are your null and alternative hypotheses?

O H0:p=0.723 vs Ha:p>0.723

O H0:p=0.723 vs Ha:p<0.723

O H0:p=0.723 vs Ha:p0.723

Solution

the null hypothesis is p = 0.723 because we think that is the correct proprtion

but someone wwonder whether the proportion of female graduates who enrolled in college from your school district in your county in 2011 is different from the national average

so if he thinks that can be different , that mean that can be less or greater than 0.723

so the answer is

O H0:p=0.723 vs Ha:p0.723