A marketing researcher wants to estimate the mean amount spent per year($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $60 and a standard deviation of $54. Complete parts(a) and(b) below.

a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $50? (Use a 0.01 level ofsignificance.)

Identify the criticalvalue(s)

Determine the test statistic.

b. Determine thep-value and interpret its meaning. (Type an integer or a decimal. Round to three decimal places asneeded.)

Interpret the meaning of thep-value. Select the correct answer below.

A. Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than $10 below $50 if the null hypothesis is false.

B. Thep-value is the probability of not rejecting the null hypothesis when it is false.

C. Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than $10 away from $50 if the null hypothesis is true.

D. Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than $10 above $50 if the null hypothesis is false.