Chanlin University is interested in the growth of their online education enrollm
ID: 3173700 • Letter: C
Question
Chanlin University is interested in the growth of their online education enrollment. Below are statistics collected from two independent populations regarding the number of online applications received by the university for two separate years. Use the data in this box to answer the following questions
Year
2008
2011
Number of online applications in sample
75
250
Number of applications in sample (n)
250
375
Use a .05 significance level to test the claim that the proportion of online applications has increased from 2008 to 2011. Show all steps of the hypothesis test by answering the questions below:
a) State the hypotheses being tested.
b) Give the computed value of the test statistic:
c) What is the p-value of the test?
d) State and explain the decision using the p-value method.
e) Based upon your decision, what can you tell the university about the online enrollment?
Year
2008
2011
Number of online applications in sample
75
250
Number of applications in sample (n)
250
375
Explanation / Answer
1 - 2008 , 2 - 2011
p1^ = 75/(250) = 0.3
p2^ = 250/(375) = 0.66666
a) Ho p1= p2
Ha: p2 > p1
b)
p^ =(75+250)/(250+375) = 0.52
TS = (0.6666-0.3)/sqrt((0.52*0.48* (1/250+1/375)))
= 8.98
c)p-value is less than 0.0001
d)since p-value is less than alpha = 0.05
,we reject the null hypothesis
e)we can conclude that the proportion of online applications has increased from 2008 to 2011.
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