In: Statistics and Probability
Choosing a right internet provider among consumers in Malaysia has been attract public attention. Table below shows the public rating towards Malaysia Internet providers service during the Moving Control Order (MCO) from 18-31 Mac 2020. Students are requiring to solve the current issue by using the correct statistical method to test whether all the internet provider are equality same. Test at 5% significance level.
Evaluation |
Digi |
Celcom |
Maxis |
U-mobile |
Very good |
40 |
35 |
47 |
28 |
Moderate |
37 |
41 |
35 |
27 |
Very bad |
53 |
29 |
43 |
35 |
let us consider the null and alternative hypothesis is
Ho:all the internet provider are equality same
Ha: all the internet provider are different
Chi-Square Test | ||||||||||
Observed Frequencies | ||||||||||
Column variable | Calculations | |||||||||
Evaluation | Digi | Celcom | Maxis | U-mobile | Total | fo-fe | ||||
Very good | 40 | 35 | 47 | 28 | 150 | -3.33333 | 0 | 5.333333 | -2 | |
Moderate | 37 | 41 | 35 | 27 | 140 | -3.44444 | 8.333333 | -3.88889 | -1 | |
Very bad | 53 | 29 | 43 | 35 | 160 | 6.777778 | -8.33333 | -1.44444 | 3 | |
Total | 130 | 105 | 125 | 90 | 450 | |||||
Expected Frequencies | ||||||||||
Column variable | ||||||||||
Evaluation | Digi | Celcom | Maxis | U-mobile | Total | (fo-fe)^2/fe | ||||
Very good | 43.33333 | 35 | 41.66667 | 30 | 150 | 0.25641 | 0 | 0.682667 | 0.133333 | |
Moderate | 40.44444 | 32.66667 | 38.88889 | 28 | 140 | 0.293346 | 2.12585 | 0.388889 | 0.035714 | |
Very bad | 46.22222 | 37.33333 | 44.44444 | 32 | 160 | 0.993857 | 1.860119 | 0.046944 | 0.28125 | |
Total | 130 | 105 | 125 | 90 | 450 | |||||
Data | ||||||||||
Level of Significance | 0.05 | |||||||||
Number of Rows | 3 | |||||||||
Number of Columns | 4 | |||||||||
Degrees of Freedom | 6 | |||||||||
Results | ||||||||||
Critical Value | 12.59159 | |||||||||
Chi-Square Test Statistic | 7.09838 | |||||||||
p-Value | 0.311845 | |||||||||
Do not reject the null hypothesis |
Since p value of the test stat is greater than 0.05 so we do not reject Ho and concluyde that all the internet provider are equality same