A random sample of 796 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 α=0.05. Num Categories 7 Test statistic, χ2 2488.877 Degrees of freedom 6 Critical χ2 12.592 Expected Freq 113.7143 P-Value 0.000 All days of the week have an equal chance of being selected. At least one day of the week has a different chance of being selected. Identify the test statistic x2=___ (Type an integer or a decimal.) Identify the critical value. x2=___ (Type an integer or a decimal.) State the conclusion. (reject/fail to reject) 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/does not) appear that all days have the same chance of being selected.
A random sample of 796 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 α=0.05.
|
Num Categories
|
7
|
|
Test statistic,
χ2
|
2488.877
|
|---|---|---|---|---|
|
Degrees of freedom
|
6
|
|
Critical
χ2
|
12.592
|
|
Expected Freq
|
113.7143
|
|
P-Value
|
0.000
|
All days of the week have an equal chance of being selected.
At least one day of the week has a different chance of being selected.
Identify the test statistic
x2=___ (Type an integer or a decimal.)
Identify the critical value.
x2=___ (Type an integer or a decimal.)
State the conclusion.
(reject/fail to reject) 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/does not) appear that all days have the same chance of being selected.
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