End-of-chapter review exercise 10: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(36,28,40,24\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the expected frequency in each category.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(38,28,43,23\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the expected frequency in each category.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(38,28,43,23\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the chi-squared statistic.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(40,28,46,22\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the chi-squared statistic.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent count observations give
| Count class | 0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| Observed | 44 | 59 | 69 | 54 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the chi-squared statistic.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent count observations give
| Count class | 0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| Observed | 45 | 60 | 70 | 55 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the chi-squared statistic.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent observations form the following two-by-three table. Test independence without a continuity correction.
| Group | Category A | Category B | Category C |
|---|---|---|---|
| I | 30 | 40 | 35 |
| II | 40 | 30 | 35 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the total count in the table.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 10: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent observations form the following two-by-three table. Test independence without a continuity correction.
| Group | Category A | Category B | Category C |
|---|---|---|---|
| I | 31 | 41 | 36 |
| II | 41 | 31 | 36 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the total count in the table.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.