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 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $53. 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 $48? (Use a 0.05 level ofsignificance.)

State the null and alternative hypotheses.

The criticalvalue(s) is/are

Determine the test statistic. (Type an integer or a decimal. Round to two decimal places asneeded.)

b. Determine thep-value and interpret its meaning.

Thep-value is

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

A.

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

B.

Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than $7 above $48 if the null hypothesis is false.

C.

Thep-value is the probability of obtaining a sample mean that is equal to or more extreme than $7 away from $48 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 $7 below $48 if the null hypothesis is false.