Question
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.
Question content area bottom
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 |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started