We can predict the hypothesis about the population proportion by determining the null and alternative hypotheses.
From the alternative hypothesis, you then determine the direction of the hypothesis test; which can be one-tailed or two-tailed.
For H0 , p=85.6% (The percentage of all undergraduate students enrolled in college and university in the United States is 85.6%).
Population proportion of success p=0.856.
A random sample of 489 enrolled college students in a particular state revealed that 438 of them were ungraduates.so,
Sample size n= 489
Number of success in the sample x = 438
sample proportion p= x/n = 438 / 489 = 0.895
Population proportion of failure q=1−p = 1- 0.895 = 0.105
putting all these values we can predict the proportion differs from the national percentage.
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