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 α = 0.05. Test statistic, Num Categories 7 9.683 x² 7/3 Degrees of freedom 6 Critical x² 12.592 Expected Freq 112.5714 P-Value 0.1387 7/1 о Determine the 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. Identify the test statistic. x² =.05 (Type an integer or a decimal.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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
α = 0.05.
Test statistic,
Num Categories
7
9.683
x²
7/3
Degrees of freedom
6
Critical x²
12.592
Expected Freq
112.5714
P-Value
0.1387
7/1
о
Determine the 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.
Identify the test statistic.
x²
=.05 (Type an integer or a decimal.)
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 α = 0.05. Test statistic, Num Categories 7 9.683 x² 7/3 Degrees of freedom 6 Critical x² 12.592 Expected Freq 112.5714 P-Value 0.1387 7/1 о Determine the 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. Identify the test statistic. x² =.05 (Type an integer or a decimal.)
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