Consider the following hypothesis test. Ho:μ ≤ 12 Ha: μ> 12 A sample of 25 provided a sample mean X= 14 and a sample standard deviation s = 4.55. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. Op-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 0.025 p-value < 0.050 0.010 < p-value < 0.025 Op-value < 0.010 (c) At a = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that μ > 12. Reject Ho. There is insufficient evidence to conclude that μ > 12. O Do not reject Ho. There is insufficient evidence to conclude that µ > 12. ○ Do not reject Ho. There is sufficient evidence to conclude that μ> 12.

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