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 $58 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 0.10 level of significance.) State the null and alternative hypotheses. HO: H V Hy : H V (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. Ho . There is V evidence that the population mean spent by membership member customers is different from $50. 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. A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $8 above $50 if the null hypothesis is false. O B. The p-value is the probability of not rejecting the null hypothesis when it is false. O C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $8 away from $50 if the null hypothesis is true. O D. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $8 below $50 if the null hypothesis is false