use technology to find the P-value for a two tailed test with n=28 and a test statistic t=2.032

P-value =????
Help please! i don't understand this

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See math from Jessica.

Sure! I can help you with that. The p-value is a measure of the strength of evidence against the null hypothesis in a statistical hypothesis test. To find the p-value for a two-tailed test, we need to follow certain steps.

Step 1: Determine the degrees of freedom (df).
In this case, since we have a two-tailed test, the degrees of freedom are calculated as n - 1, where n is the sample size. Therefore, the degrees of freedom would be 28 - 1 = 27.

Step 2: Look up the critical value.
You need to find the critical value of the test statistic t using the degrees of freedom (df) and the significance level (alpha level). Let's assume a 5% significance level (alpha = 0.05) for this example. You can look up the critical value in a t-table or use software tools like Excel or statistical packages like R or Python.

Step 3: Calculate the p-value.
To calculate the p-value for a two-tailed test, you need to find the probability of observing a test statistic greater than or equal to the absolute value of the given test statistic t, or less than or equal to its negative value, under the null hypothesis.

In this case, t = 2.032, so we need to find the probability of observing a value greater than or equal to 2.032 or less than or equal to -2.032 when the null hypothesis is true.

For a two-tailed test, you need to find the probability in both tails. Since the t-distribution is symmetric, the p-value will be twice the probability in just one tail.

You can use software tools like Excel or statistical packages to calculate the p-value directly by inputting the test statistic, degrees of freedom, and the distribution.

Alternatively, you can use statistical websites or online calculators that allow you to input the necessary values and provide you with the p-value.

Hope this explanation helps you understand how to find the p-value for a two-tailed test!