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 150 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $56 and a standard deviation of $55. 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 $53? (Use a 0.10 level of significance.) State the null and alternative hypotheses. Ho: H(1) . H1: H ( 2 ) (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) Identify the critical value(s). 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.) Determine the test statistic. The test statistic, tSTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. (3) Ho. There is (4). evidence that the population mean spent by membership member customers is different from $53. 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. Select the correct answer below. O A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $3 above $53 if the null hypothesis is false. O B. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $3 away from $53 if the null hypothesis is true. O C. The p-value is the probability of not rejecting the null hypothesis when it is false. O D. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $3 below $53 if the null hypothesis is false. (1) 0 (2) 0 2 O > (3) O Reject (4) O insufficient O 2 S O Do not reject O sufficient # V S O