a) Write down the null hypothesis for the test, with the variables described clearly in the subject matter. b) The following table is constructed for performing the x²-test. Fill in the missing item in (i) and (ii) below. Oij, Eij, (Oij- Eij) Eij Education levels Secondary Higher Secondary Undergraduate Postgraduate c) Stress levels Normal (32, 32.627, 0.012) (20, 30.317, 3.511) (38, 38.401, 0.004) (33, 21.655, 5.944) Moderate (41, 38.197, (i)) (35, 35.493, 0.007) (52, (ii), 1.103) (16, 25.352, 3.45) Severe (40, 42.176, 0.112) (50, 39.19, 2.982) (43, 49.641, 0.888) (26, 27.993, 0.142) What are the critical values of the test at the 5% and the 1% significance levels respectively? d) Find the test statistic value and the P-value of the x²-test. (Hints: Use Excel to find the P-value).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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would you please solve this question,thank you 

a) Write down the null hypothesis for the test, with the variables described clearly in the
subject matter.
b) The following table is constructed for performing the x²-test. Fill in the missing item in
(i) and (ii) below.
(Our-Ey, (Oy - Eu)²)
Oij, Eij,
Eij
Education levels
Secondary
Higher Secondary
Undergraduate
Postgraduate
Stress levels
Normal
(32, 32.627, 0.012)
(20, 30.317, 3.511)
(38, 38.401, 0.004)
(33, 21.655, 5.944)
Moderate
(41, 38.197, (i))
(35, 35.493, 0.007)
(52, (ii), 1.103)
(16, 25.352, 3.45)
Severe
(40, 42.176, 0.112)
(50, 39.19, 2.982)
(43, 49.641, 0.888)
(26, 27.993, 0.142)
c)
What are the critical values of the test at the 5% and the 1% significance levels
respectively?
d) Find the test statistic value and the P-value of the x²-test. (Hints: Use Excel to find the
P-value).
Transcribed Image Text:a) Write down the null hypothesis for the test, with the variables described clearly in the subject matter. b) The following table is constructed for performing the x²-test. Fill in the missing item in (i) and (ii) below. (Our-Ey, (Oy - Eu)²) Oij, Eij, Eij Education levels Secondary Higher Secondary Undergraduate Postgraduate Stress levels Normal (32, 32.627, 0.012) (20, 30.317, 3.511) (38, 38.401, 0.004) (33, 21.655, 5.944) Moderate (41, 38.197, (i)) (35, 35.493, 0.007) (52, (ii), 1.103) (16, 25.352, 3.45) Severe (40, 42.176, 0.112) (50, 39.19, 2.982) (43, 49.641, 0.888) (26, 27.993, 0.142) c) What are the critical values of the test at the 5% and the 1% significance levels respectively? d) Find the test statistic value and the P-value of the x²-test. (Hints: Use Excel to find the P-value).
A research is conducted to examine the mental health status of adults with different education
levels. There are 3 categories of stress levels, namely normal, moderate and severe and 4
education levels, namely secondary, higher secondary, undergraduate and postgraduate levels.
A sample is chosen from the population and the data collected are summarised in the
contingency table below. A x²-test is performed.
Education levels
Secondary
Higher Secondary
Undergraduate
Postgraduate
Stress levels
Normal
32
20
38
33
Given,
Ho:
H₁: There is such an association. (claim)
Moderate
41
35
52
16
Severe
40
50
43
26
Transcribed Image Text:A research is conducted to examine the mental health status of adults with different education levels. There are 3 categories of stress levels, namely normal, moderate and severe and 4 education levels, namely secondary, higher secondary, undergraduate and postgraduate levels. A sample is chosen from the population and the data collected are summarised in the contingency table below. A x²-test is performed. Education levels Secondary Higher Secondary Undergraduate Postgraduate Stress levels Normal 32 20 38 33 Given, Ho: H₁: There is such an association. (claim) Moderate 41 35 52 16 Severe 40 50 43 26
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“We have (i) (no / weak / strong / very strong) evidence to conclude that there is an associationbetweenthetwovariablesinthestudy.Fromthe ?2-test,itisfoundthatadults in higher secondary level are more likely to have (ii) (normal / moderate / severe) stress level, but less likely to have (iii) (normal / moderate / severe) stress level. Also, adults in (iv) (secondary / undergraduate / postgraduate) level are (v) (more / less) likely to have normal stress level, but less likely to have (vi) (moderate / severe) stress level.”

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