An annual championship event is the most widely watched sporting event in a country each year. In recent​ years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts​ (a) through​ (c).

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what is p value?
 
An annual championship event is the most widely watched sporting event in a country each year. In recent​ years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts​ (a) through​ (c).
 
​30-Second Ads
​60-Second Ads
 
48
27
40
39
47
65
59
58
60
53
 
40
23
36
53
54
24
39
38
47
61
 
 
 
 
a. Assuming that the population variances from the​ 30-second ads and the​ 60-second ads are​ equal, is there evidence of a difference in the mean score between the two types of​ ads? Use
α=0.02.
 
Let
μ1
be the mean score for the​ 30-second ads and
μ2
be the mean score for the​ 60-second ads. Determine the hypotheses. Choose the correct answer below.
 
 
A.
H0​:
μ1≥μ2
H1​:
μ1<μ2
 
B.
H0​:
μ1=μ2
H1​:
μ1≠μ2
Your answer is correct.
 
C.
H0​:
μ1≠μ2
H1​:
μ1=μ2
 
D.
H0​:
μ1≤μ2
H1​:
μ1>μ2
Find the test statistic.
 
tSTAT=negative 1.84−1.84
​(Round to two decimal places as​ needed.)
Find the critical​ value(s).
 
negative 2.55 comma 2.55−2.55, 2.55
​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)
Choose the correct conclusion below.
 
Do not reject
 
H0.
There is
insufficient
 
evidence that the mean scores differ.
b. Determine the​ p-value in​ (a) and interpret its meaning.
 
​p-value=enter your response here
​(Round to three decimal places as​ needed.)
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