A researcher wants to investigate whether mood is related to chocolate consumption. She recruits a sample of 120 participants and asks them whether they are feeling happy or sad. She then offers the participant a chocolate bar and records whether the participant accepts the chocolate or refuses the chocolate. The table below displays the observed frequencies: Accepted Chocolate Refused Chocolate Happy Mood 24 38 Sad Mood 32 26 What is the appropriate statistical test for this research question? A) Goodness-of-fit chi-square B) Chi-square test of independence C) Wilcoxon’s matched-pairs signed-ranks test D) Point-biserial correlation What is the expected frequency of refusing chocolate for participants in a happy mood? A) 28.933 B) 30.933 C) 33.067 D) 27.067 What are the degrees of freedom of this test? A) 1 B) 119 C) 2 D) 120
A researcher wants to investigate whether mood is related to chocolate consumption. She recruits a sample of 120 participants and asks them whether they are feeling happy or sad. She then offers the participant a chocolate bar and records whether the participant accepts the chocolate or refuses the chocolate.
The table below displays the observed frequencies:
Accepted Chocolate | Refused Chocolate | |
Happy Mood | 24 | 38 |
Sad Mood | 32 | 26 |
What is the appropriate statistical test for this research question?
A) Goodness-of-fit chi-square
B) Chi-square test of independence
C) Wilcoxon’s matched-pairs signed-ranks test
D) Point-biserial
What is the expected frequency of refusing chocolate for participants in a happy mood?
A) 28.933
B) 30.933
C) 33.067
D) 27.067
What are the degrees of freedom of this test?
A) 1
B) 119
C) 2
D) 120
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What is the obtained value of the appropriate statistical test?
A) 0.812
B) 3.263
C) 3.350
D) 3.840
What can you conclude based on the obtained value above?
A) The distribution of mood and chocolate consumption was not equiprobable
B) The frequencies of mood and chocolate consumption are not distributed in line with previous data
C) There is no relationship between mood and chocolate consumption
D) There is a relationship between mood and chocolate consumption
What is the magnitude of the relationship between mood and chocolate consumption?
A) .027
B) .118
C) .164
D) .182