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.

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.

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.

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.

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 p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(37,33,39,31\).

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(37,33,39,31\).

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

For a separate fit with \(\displaystyle k=8\) retained classes and one estimated parameter, find the degrees of freedom.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(39,33,42,30\).

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

For a separate fit with \(\displaystyle k=5\) retained classes and one estimated parameter, find the degrees of freedom.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.