A random sample of 765 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 x = 0.05. Num Categories = 7 Test statistic, x² = 1558.896
Critical x² = 12.592
P-Value = 0.0000
Degrees of freedom = 6
Expected Freq = 109.2857
Determine the null and alternative hypotheses.
Identify the test statistic.
Identify the critical value. State the conclusion.