The appropriate null hypothesis is …(use 2 decimal places, 2 dp) H0: pi1 = 0.30,       pi2 =        pi3 =       pi4 =  2. What is the value of the test statistic? (2 dp)  3. How many students were enrolled in Term 1?  (integer)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Professor takes a random sample of students enrolled in Statistics 101 at Earth University where students are in one of four terms of their degrees.
He finds the following: there are 25 first term students in the sample, 32 second term students, 18 third term students and 20 final term students.

Professor decides to help you and use the R program to carry out this test.

The code and output are as follows: 
null.probs = c(0.3,0.25,0.25,0.2)
freqs = c(25, 32, 18, 20)
chisq.test(freqs, p=null.probs)
barplot(freqs, main="Distribution of Stat 101 Students", horiz=FALSE, xlab="Term", names.arg= c("First", "Second", "Third", "Fourth"), col="blue")

Chi-squared test for given probabilities

data: freqs
X-squared = 4.830303, df = 3, p-value = 0.184653

Use the output to test the appropriate hypothesis.

 

1) The appropriate null hypothesis is …(use 2 decimal places, 2 dp)
H0: pi1 = 0.30,
      pi2
      pi3 =
      pi4

2. What is the value of the test statistic? (2 dp) 

3. How many students were enrolled in Term 1?  (integer)

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