thof the hypothesiswould appear in a research report.112W15. Research indicates that the color red increases men'sattraction to women (Elliot and Niesta, 2008). In thentoriginal study, men were shown women's photographspresented on either a white or a red background.Photographs presented on red were rated significantlymore attractive than the same photographs mountedon white. In a similar study, a researcher preparesa set of 30 women's photographs, with 15 mountedon a white background and 15 mounted on red.One picture is identified as the test photograph, andappears twice in the set, once on white and once onred. Each male participant looks through the entireset of photographs and rates the attractiveness of eachwoman on a 10-point scale. The following table sum-marizes the ratings of the test photograph for a sampleof n 9 men. Are the ratings for the test photographsignificantly different when it is presented on a redbackground compared to a white background? Use atwo-tailed test with a = .01S0ns19domsuwET-900sin17. a2RedWhiteBackgroundBackgroundParticipant74A6bo57В308 0W B8C9DEF4718.39H2msxs 9789I6

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Asked Nov 27, 2019
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Number 15

th
of the hypothesis
would appear in a research report.
112
W
15. Research indicates that the color red increases men's
attraction to women (Elliot and Niesta, 2008). In the
ntoriginal study, men were shown women's photographs
presented on either a white or a red background.
Photographs presented on red were rated significantly
more attractive than the same photographs mounted
on white. In a similar study, a researcher prepares
a set of 30 women's photographs, with 15 mounted
on a white background and 15 mounted on red.
One picture is identified as the test photograph, and
appears twice in the set, once on white and once on
red. Each male participant looks through the entire
set of photographs and rates the attractiveness of each
woman on a 10-point scale. The following table sum-
marizes the ratings of the test photograph for a sample
of n 9 men. Are the ratings for the test photograph
significantly different when it is presented on a red
background compared to a white background? Use a
two-tailed test with a = .01
S0ns
19doms
uw
ET
-900
sin
17. a
2
Red
White
Background
Background
Participant
7
4
A
6
bo5
7
В
308 0W B
8
C
9
D
E
F
4
7
18.
3
9
H
2msxs 9
789
I
6
help_outline

Image Transcriptionclose

th of the hypothesis would appear in a research report. 112 W 15. Research indicates that the color red increases men's attraction to women (Elliot and Niesta, 2008). In the ntoriginal study, men were shown women's photographs presented on either a white or a red background. Photographs presented on red were rated significantly more attractive than the same photographs mounted on white. In a similar study, a researcher prepares a set of 30 women's photographs, with 15 mounted on a white background and 15 mounted on red. One picture is identified as the test photograph, and appears twice in the set, once on white and once on red. Each male participant looks through the entire set of photographs and rates the attractiveness of each woman on a 10-point scale. The following table sum- marizes the ratings of the test photograph for a sample of n 9 men. Are the ratings for the test photograph significantly different when it is presented on a red background compared to a white background? Use a two-tailed test with a = .01 S0ns 19doms uw ET -900 sin 17. a 2 Red White Background Background Participant 7 4 A 6 bo5 7 В 308 0W B 8 C 9 D E F 4 7 18. 3 9 H 2msxs 9 789 I 6

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Expert Answer

Step 1

The hypotheses appropriate for the test are as follows:

H0: µd = 0

H1: µd  ≠ 0

In this case, the appropriate test is paired t test,

The test statistic is t which is calculated as,

help_outline

Image Transcriptionclose

d Ha

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Step 2

where d-bar is the mean of the differences, µd0 is the hypothesized mean difference, sd-bar  is the standard deviation of the differences.

Step-by-step procedure to obtain the test statistic and critical value using Excel software:

  • In Excel sheet, enter White Background and Red Background in different columns.
  • In Data, select Data Analysis and Choose t-Test: Paired Two Sample for Means.
  • In Variable 1 Range, select White Background and in Variable 2 Ra...
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Image Transcriptionclose

t-Test: Paired Two Sample for Means White Background Red Background 5.222222222 8.222222222 Mean Variance 2.194444444 0.944444444 Observations Pearson Correlation 0.308721573 Hypothesized Mean Difference 0 df 8 -6 t Stat 0.000161697 P (T<=t) one-tail t Critical one-tail 2.896459448 P (T<=t) two-tail 0.000323393 t Critical two-tail 3.355387331

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