To perform a hypothesis test. you calculated a test statistic and determined the corresponding p-value. What is the correct interpretation of this p-value? The p-value is O a. The probability that the null hypothesis is true. 0 b. The probability that the test statistics follows a normal distribution. 0 c, The probability, under the null hypothesis, of observing a value for the test statistic that is at least as extreme as the value we have observed. 0 d. The probability, under the alternative hypothesis, of observing a value for the test statistic that is at least as extreme as the value we have observed. 0 e. The probability that the alternative hypothesis is true. \fA large p-value provides evidence that the null hypothesis is true. O True O FalseThe p-value of a hypothesis test for a population mean is 0.067 and the null hypothesis was not rejected. Which one of the following must be true? O a. A type I error has occurred. O b. The alternative hypothesis is true. O c. A type II error has occurred. O d. The significance level of the test is less than 0.067. O e. The null hypothesis is true