Based on the provided information, we have a hypothesis test with a sample size of $n=17$ and a significance level of $\alpha = 0.05$. The computed test statistic value is $2.015$, and the critical value is $1.746$. The task is to determine whether to reject the null hypothesis based on these values, which is already given.
Probability and StatisticsHypothesis TestingTest StatisticCritical ValueNull HypothesisSignificance Level
2025/4/24
1. Problem Description
Based on the provided information, we have a hypothesis test with a sample size of and a significance level of . The computed test statistic value is , and the critical value is . The task is to determine whether to reject the null hypothesis based on these values, which is already given.
2. Solution Steps
We compare the computed test statistic value to the critical value.
If the absolute value of the computed test statistic is greater than the critical value, we reject the null hypothesis.
In this case, the computed value is and the critical value is .
Since , we reject the null hypothesis. The decision shown in the image is "Reject the null hypothesis".
3. Final Answer
Reject the null hypothesis.