## Related questions with answers

The study mentioned in one example also looked at the severity of fever (rated as mild, moderate or severe) for all subjects who developed one after receiving a flu shot . The following table shows counts for subjects randomized to the group that received the active ingredient of the flu shot and the placebo group that received a sugar injection.

Severity | |||
---|---|---|---|

Group | Mild | Moderate | Severe |

Active | 39 | 12 | 12 |

Placebo | 19 | 11 | 4 |

The P-value for the chi-squared test equals 0.287. Write the conclusion of the test in context.

Solution

VerifiedGiven:

$\begin{aligned} P&=\text{P-value}=0.287=28.7\% \\ \chi^2&=\text{Test statistic}=2.49 \end{aligned}$

We need to determine a conclusion for the significance test.

The **P-value** is the probability of obtaining the value of the test statistic, or a value more extreme, when the null hypothesis is true.

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