Consider the following hypothesis test.

H₀: = 15

H_a: 15

A sample of 50 provided a sample mean of 14.15. The population standard deviation is 3.(a)Find the value of the test statistic. (Round your answer to two decimal places.)(b)Find the p-value. (Round your answer to four decimal places.)p-value = (c)At

= 0.05,

state your conclusion.Reject H₀. There is sufficient evidence to conclude that 15.Reject H₀. There is insufficient evidence to conclude that 15. Do not reject H₀. There is sufficient evidence to conclude that 15.Do not reject H₀. There is insufficient evidence to conclude that 15.(d)State the critical values for the rejection rule. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistictest statisticState your conclusion.Reject H₀. There is sufficient evidence to conclude that 15.Reject H₀. There is insufficient evidence to conclude that 15. Do not reject H₀. There is sufficient evidence to conclude that 15.Do not reject H₀. There is insufficient evidence to conclude that 15.