Do consumers spend more on a trip to Store A or Store​ B? Suppose researchers interested in this question collected a systematic sample from 84 Store A customers and 80 Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives 161.49 df. Test the null hypothesis at α=0.05.     Store A     Store B   n 84 80 y 42 53 s 20 18 Identify the null and alternative hypotheses. Choose the correct answer below.

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Do consumers spend more on a trip to Store A or Store​ B? Suppose researchers interested in this question collected a systematic sample from
84
Store A customers and
80
Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives
161.49
df. Test the null hypothesis at
α=0.05.
 
  Store A  
  Store B  
n
84
80
y
42
53
s
20
18
Identify the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
H0​:
μA−μB=0
HA​:
μA−μB>0
 
B.
H0​:
μA−μB≠0
HA​:
μA−μB=0
 
C.
H0​:
μA−μB=0
HA​:
μA−μB≠0
 
D.
H0​:
μA−μB=0
HA​:
μA−μB<0
Compute the test statistic.
 
t=nothing
​(Round to two decimal places as​ needed.)
Find the​ P-value.
 
The​ P-value is
nothing.
​(Round to three decimal places as​ needed.)
State the conclusion. Choose the correct answer below.
 
 
A.
Fail to reject
the null hypothesis. There
is
sufficient evidence that the means are not equal.
 
B.
Reject
the null hypothesis. There
is not
sufficient evidence that the means are not equal.
 
C.
Reject
the null hypothesis. There
is
sufficient evidence that the means are not equal.
 
D.
Fail to reject
the null hypothesis. There
is not
sufficient evidence that the means are not equal.
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