Let p be the proportion of female students in a particular l

Let p be the proportion of female students in a particular large-population university. Suppose we want to test if there are more female students than male students in that university. State appropriate statistical hypotheses. A small random sample of 10 students from that university are chosen from that university, and let X be the number of female students in that sample. What is the a value for the rejection region RR = (X GE 9)?

Solution

H0: p = 0.5

Ha: p>0.5

Right tailed test

b) n =10

df =9

If X>=9 then p >0.9

p difference >0.4

std dev = 0.5/rt 10 = 0.1581

t stats = 2.530

If alpha = 0.016 or 1.6% then rejected.