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
​$60
and a standard deviation of
​$55.
Complete parts​ (a) and​ (b) below.
Question content area bottom
Part 1
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.
H0​:
μ
▼
less than or equals≤
not equals≠
greater than or equals≥
greater than>
less than<
equals=
enter your response here
H1​:
μ
▼
less than or equals≤
equals=
greater than or equals≥
not equals≠
greater than>
less than<
enter your response here
​(Type integers or decimals. Do not round. Do not include the​ $ symbol in your​ answer.)
Part 2
Identify the critical​ value(s).
The critical​ value(s) is/are
enter your response here.
​(Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
Part 3
Determine the test statistic.
The test​ statistic,
tSTAT​,
is
enter your response here.
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
Part 4
State the conclusion.
▼
Do not reject
Reject
H0.
There is
▼
sufficient
insufficient
evidence that the population mean spent by membership member customers is different from
​$50.
Part 5
b. Determine the​ p-value and interpret its meaning.
The​ p-value is
enter your response here.
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
Part 6
Interpret the meaning of the​ p-value. Select the correct answer below.
A.
The​ p-value is the probability of not rejecting the null hypothesis when it is false.
B.The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than
​$10
above
​$50
if the null hypothesis is false.
C.The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than
​$10
away from
​$50
if the null hypothesis is true.
D.The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than
​$10
below
​$50
if the null hypothesis is false.