Question

In the past, 60% of all undergraduate students enrolled at State University earned their degrees within 5 years of matriculation. A random sample of 36 students from the class that matriculated in the fall of 2018 was recently selected to test whether there has been a change in the proportion of students who graduate within 5 years. Select ALL that apply.

a. One sample Test for Proportions

b. One sample Test for Means

c. 2 Sample Test for Means- independent

d. 2 Sample Test for Means – related (paired)

e. 2 Sample Test for Proportions

f. Time Series Forecasting

g. Correlation Analysis

h. One-way Analysis of Variance

i. Simple Linear Regression

j. Multiple Regression

k. Chi-square Test

Answer 1

a. One sample Test for Proportions is correct option.

Hypothesis Tests

Null hypothesis H0: p= p0
Alternative Hypothesis H1: p≠ p0
This hypothesis considers whether the population proportion is equivalent to some pre-specified value, p0. This value might be of historical interest or a result obtained in another study that we are trying to corroborate with our study data. A rule of thumb used to perform this test is that both np0 and n(1-p0) are greater than five.

Here n=36,p=0.60