Question

In a two-tailed hypothesis test situation, the test statistic is determined to be t = -1.708. The sample size is 26. The p-value for this test is:

a) 0.0946
b) 0.0473
c) 0.9054
d) 0.9527

Answer 1

In a two-tailed hypothesis test, the p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true. The p-value can be calculated by comparing the test statistic to the critical value from the t-distribution. In this case, the p-value cannot be determined without further information or calculations.

Step-by-step explanation:

In a two-tailed hypothesis test, the p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true. To calculate the p-value, we compare the absolute value of the test statistic to the critical value from the t-distribution.

In this case, the test statistic is -1.708 and the sample size is 26. Since the test statistic is negative, we consider the left tail of the t-distribution. Using the t-table or a statistical software, we find that the critical value for a two-tailed test with 26 degrees of freedom and α = 0.05 is approximately 2.046.

Since the test statistic (-1.708) is less than the critical value (2.046), we fail to reject the null hypothesis. Therefore, the p-value is greater than 0.05. None of the given options (a) 0.0946, (b) 0.0473, (c) 0.9054, or (d) 0.9527 are correct. The correct answer cannot be determined without further information or calculations.