3. Testing a population mean - Reaching a conclusion by the p-value approach Aa

Question

3. Testing a population mean - Reaching a conclusion by the p-value approach Aa Aa You conduct a hypothesis test about a population mean at a significance level of = .01 using a sample of size n = 60. The population standard deviation is unknown, so you use the t test statistic. Your test statistic follows a t distribution with n-1 = 59 degrees of freedom when the null hypothesis is true as an equality, and its value obtained from the sample is t = 2.05. Use the Distributions tool to help you answer the questions that follow. Select a Distribution Distributions 0 123 the null hypothesis in this case If you perform an upper tail test, the p-value is because the p-value is . You than the significance level. If you perform a two-tailed test, the p-value is because the p-value is . You the null hypothesis in this case, reject do not reject than the significance level.

Explanation / Answer

If you perform an upper tail test, p-value is 0.0205. You do not reject the null hypothesis in this case, because the p-value is greater than the significance level.

If you perform a two-tailed test, p-value is 0.0409. You do not reject the null hypothesis in this case, because the p-value is greater than the significance level.

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