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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).

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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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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