A random sample of 791 subjects was asked to identify the day of the week that i
ID: 3364302 • Letter: A
Question
A random sample of
791
subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-of-fit test results from the claim and data from the study. Test that claim.
Num Categories]
7
chisquared2
30.748
Degrees of freedom
6
chisquared2
12.592
Expected Freq
113.0000
P-Value
0.0000
Determine the null and alternative hypotheses.
Upper H 0H0:
At least one day of the week has a different chance of being selected.
All days of the week have a different chance of being selected.
At least two days of the week have a different frequency of being selected.
All days of the week have an equal chance of being selected.
Upper H 1H1:
At least one day of the week has a different chance of being selected.
All days of the week have an equal chance of being selected.
At least two days of the week have a different frequency of being selected.
All days of the week have a different chance of being selected.
Identify the test statistic.
chisquared2equals=nothing
(Type an integer or a decimal.)
Identify the critical value.
chisquared2equals=nothing
(Type an integer or a decimal.)
State the conclusion.
Reject
Fail to reject
Upper H 0H0.
There
is not
is
sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It
does appear
does not appear
that all days have the same chance of being selected.
Num Categories]
7
Test statistic,chisquared2
30.748
Degrees of freedom
6
Criticalchisquared2
12.592
Expected Freq
113.0000
P-Value
0.0000
Explanation / Answer
Null and Alternative Hypotheses:
Ho: All days of the week have an equal chance of being selected.
H1: At least one day of the week has a different chance of being selected.
Test statistic = 30.748
Critical value = 12.592
Conclusion: Reject; is; does not appear
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