A marketing researcher wants to estimate the mean amount spent per year ($) on a website by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the website yielded a mean amount spent of $55 and a standard deviation of $54.

a. Is there evidence that the population means the amount spent per year on the website by membership member shoppers is different from $52? (Use a 0.10 level of significance.) State the null and alternative hypotheses.

H0: (greater than or equals, not equals , less than <, equals =, less than or equals , greater than >) _____

H1: (less than or equals , greater than >, less than <, not equals , greater than or equals , equals =) ______

(Type integers or decimals. Do not round. Do not include the $ symbol in your answer.)

The critical value(s) is/are ______

.(Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.)

The test statistic, tSTAT, is _____

.

(Type an integer or a decimal. Round to two decimal places as needed.)

State the conclusion.

(Reject, Do not reject, H0. There is) (sufficient, insufficient) evidence that the population means spent by membership member customers is different from $52.

b. Determine the p-value and interpret its meaning.

The p-value is ____

.

(Type an integer or a decimal. Round to three decimal places as needed.)

Interpret the meaning of the p-value.

1. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $3 below $52 if the null hypothesis is false.
2. The p-value is the probability of not rejecting the null hypothesis when it is false.
3. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $3 above $52 if the null hypothesis is false.
4. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $3 away from $52 if the null hypothesis is true.