Pregunta
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What is the test statistic?
(Round to three decimal places as needed.)
What is the -value of the tesif
P-value (Round to three decimal places as needed.)
Based on the results, do the accidents follow a uniform distribution?
A. Do not reject , because the calculated -value is less than the given level of significance.
B. Reject , because the calculated -value is greater than the given level of significance.
C. Reject , because the calculated -value is less than the given level of significance.
D. Do not reject , because the calculated -value is greater than the given level of significance.

Ask by Conner Tran. in the United States
Dec 07,2024

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The correct choice is C. Reject because the -value is less than .

Solución

To determine whether to reject or not reject the null hypothesis , we need to compare the calculated -value with the significance level .
You provided the following information:
  • Test statistic:
  • -value:
Assuming a common significance level of (unless specified otherwise), we can analyze the results:
  1. If the -value is less than (i.e., ), we reject the null hypothesis .
  2. If the -value is greater than , we do not reject the null hypothesis.
Since , we reject the null hypothesis .
Based on the options provided, the correct choice is:
C. Reject , because the calculated -value is less than the given level of significance.

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Bonus Knowledge

In hypothesis testing, the test statistic gives you a standardized way to measure how far your observed data deviates from the null hypothesis. It tells you whether your observations are consistent with a uniform distribution or not. In this case, with a calculated -value of 0.007, if your significance level is typically 0.05, you have strong evidence against the null hypothesis!
To interpret the results correctly, you compare the -value to your significance level . If the -value is less than , you reject the null hypothesis ( ). In this scenario, since 0.007 is indeed less than 0.05, you would choose option C: Reject , because the calculated -value is less than the given level of significance. Time to celebrate those statistical insights! 🎉

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