A marketing researcher wants to estimate the mean amount spent per year (S) 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 $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 $47? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: P 2 H₁: p (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, taTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. evidence that the population mean spent by membership member customers is different from $47. H₂. There is 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 $9 below $47 if the null hypothesis is false. OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $9 above $47 if the null hypothesis is false. O C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $9 away from $47 if the null hypothesis is true. OD. The p-value is the probability of not rejecting the null hypothesis when it is false.

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A marketing researcher wants to estimate the mean amount spent per year (S) 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 $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 $47? (Use a 0.01 level of significance.)
State the null and alternative hypotheses.
Ho: P
2
H₁: p
(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, taTAT, is
(Type an integer or a decimal. Round to two decimal places as needed.)
State the conclusion.
evidence that the population mean spent by membership member customers is different from $47.
H₂. There is
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 $9 below $47 if the null hypothesis is false.
OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $9 above $47 if the null hypothesis is false.
O C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $9 away from $47 if the null hypothesis is true.
OD. The p-value is the probability of not rejecting the null hypothesis when it is false.
Transcribed Image Text:A marketing researcher wants to estimate the mean amount spent per year (S) 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 $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 $47? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: P 2 H₁: p (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, taTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. evidence that the population mean spent by membership member customers is different from $47. H₂. There is 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 $9 below $47 if the null hypothesis is false. OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $9 above $47 if the null hypothesis is false. O C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $9 away from $47 if the null hypothesis is true. OD. The p-value is the probability of not rejecting the null hypothesis when it is false.
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