A random sample of 788 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 using either the critical value method or the P-value method with an assumed significance level of a = 0.05. Test statistic, Num Categories 7 5.241 Degrees of freedom 6 Critical y? 12.592 Expected Freq 112.5714 P-Value 0.5133 Determine the null and alternative hypotheses. Họ: H: Identify the test statistic. 2=(Type an integer or a decimal.) Identify the critical value. *=(Type an integer or a decimal.) State the conclusion. Ho. There V sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It that all days have the same chance of being selected.

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Determine the null and alternative hypotheses.

H0​:
 
H1​:
 
Identify the test statistic.
 
χ2=
​(Type an integer or a​ decimal.)
 
 
Identify the critical value.
 
χ2=
​(Type an integer or a​ decimal.)
 
State the conclusion.
 
 
 
(fail to reject/ reject0 H0. 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.
 
A random sample of 788 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 using either the critical value method or the P-value method with an assumed significance level of a = 0.05.
Test statistic,
Num Categories
7
5.241
x²
2
Degrees of freedom
2
Critical x
12.592
Expected Freq
112.5714
P-Value
0.5133
Determine the null and alternative hypotheses.
Ho:
H:
Identify the test statistic.
x = (Type an integer or a decimal.)
Identify the critical value.
(Type an integer or a decimal.)
State the conclusion.
Ho. There
sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It
that all days have the same chance of being selected.
Transcribed Image Text:A random sample of 788 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 using either the critical value method or the P-value method with an assumed significance level of a = 0.05. Test statistic, Num Categories 7 5.241 x² 2 Degrees of freedom 2 Critical x 12.592 Expected Freq 112.5714 P-Value 0.5133 Determine the null and alternative hypotheses. Ho: H: Identify the test statistic. x = (Type an integer or a decimal.) Identify the critical value. (Type an integer or a decimal.) State the conclusion. Ho. There sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It that all days have the same chance of being selected.
Determine the null and alternative hypotheses.
Ho:
H4:
At least two days of the week have a different frequency of being selected.
Iden
All days of the week have a different chance of being selected.
All days of the week have an equal chance of being selected.
Iden
At least one day of the week has a different chance of being selected.
(Type an integer or a decimal.)
State the conclusion.
Ho. There
sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It
that all days have the same chance of being selected.
Transcribed Image Text:Determine the null and alternative hypotheses. Ho: H4: At least two days of the week have a different frequency of being selected. Iden All days of the week have a different chance of being selected. All days of the week have an equal chance of being selected. Iden At least one day of the week has a different chance of being selected. (Type an integer or a decimal.) State the conclusion. Ho. There sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It that all days have the same chance of being selected.
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