Given that the null hypothesis is The population mean is 200

Given that the null hypothesis is “The population mean is $200” and the alternative hypothesis is “The population mean is less than $200”. Our test statistics value is -0.50 with a p-value of 0.31. The p-value is the probability of

A) obtaining our test statistic value or value smaller, if in fact the population mean is less than $200
B) obtaining our test statistic value or value larger, if in fact the population mean is less than $200
C) obtaining our test statistic value or value smaller, if in fact the population mean is $200
D) obtaining our test statistic value or value larger, if in fact the population mean is $200

Solution

As this is a LEFT TAILED test, then it is obtaining our test statistic OR LESS. Thus,

C) obtaining our test statistic value or value smaller, if in fact the population mean is $200 [ANSWER, C]