We conduct a test for a mean with a two-sided alternative hypothesis using a t-test. There were 30 observations in the sample and the calculated test statistic was 2.36, what is the appropriate p-value?
Question
We conduct a test for a mean with a two-sided alternative hypothesis using a t-test. There were 30 observations in the sample and the calculated test statistic was 2.36, what is the appropriate p-value?
Solution
To calculate the p-value for a two-sided t-test, we first need to find the critical value from the t-distribution table.
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Degrees of Freedom: The degrees of freedom for a t-test is calculated as the sample size minus 1. In this case, it would be 30 - 1 = 29.
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Look up the t-value: Using a t-distribution table or an online calculator, we find the probability associated with the t-value of 2.36 with 29 degrees of freedom. This gives us the one-tailed p-value.
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Two-tailed p-value: Since we are conducting a two-sided test, we need to multiply the one-tailed p-value by 2 to get the two-tailed p-value.
Please note that the exact p-value will depend on the specific t-distribution table or calculator you are using.
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