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The accompanying table lists the attribute ratings made by a random sample of participants in a speed dating session. Each attribute rating is the sum

The accompanying table lists the "attribute" ratings made by a random sample of participants in a speed dating session. Each attribute rating is the sum of the ratings of five attributes (sincerity, intelligence, fun, ambition, shared interests). Use a 0.05 significance level to test the claim that there is a difference between female attribute ratings and male attribute ratings.

Open the attachment to view the data on attribute ratings.

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Part 1

In this example, d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the rating of the male minus the rating of the female. What are the null and alternative hypotheses for the hypothesis test?

H0 : d = 0

H1 : d 0

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

t =

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

P-value =

(Round to three decimal places as needed.)

Part 4

What is the conclusion based on the hypothesis test?

Since the P-value is _____________ the significance level, _____________ the null hypothesis. There ________ sufficient evidence to support the claim that there is a difference between female attribute ratings and male attribute ratings.

Male by Female Female by Male
33 30
27 38
34 50
40 36
24 41
25 35
38 24
34 42
36 39
40 46
45 33
42 28
48 32
36 37
34 32
49 41
30 31
40 39
36 41
38 29
28 36
22 31
34 35
41 45
37 31
39 32
29 40
38 42
32 36
32 25
32 33
19 28
41 30
46 37
34 34
33 29
35 45
41 35
41 33
37 37
36 33
31 33
53 51
32 41
44 28
34 32
42 37
34 31
41 37
37 34
33 15
28 27
28 30
41 36
31 35
34 41
46 52
37 36
25 42
32 42
46 41
27 23
37 32
40 30
25 33
30 30
30 41
39 35
52 51
33 44
34 25
31 37
31 24
33 33
24 37
39 29
40 33
41 38
42 37
37 40
35 30
52 39
33 33
35 35
43 47
27 30
37 45
29 38
33 41
35 28
33 42
35 39
29 29
27 28
48 33
32 32
35 33
34 29
41 50
30 34

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