A random sample of 793 subjects was asked to identify the day of the week that i

Question

A random sample of 793 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. Determine the null and alternative hypotheses. H_0: All days of the week have a different chance of being selected. H_1: At least one day of the week has a different chance of being selected. Identify the test statistic. chi^2 = (Type an integer or a decimal.) Identify the critical value. chi^2 = (Type an integer or a decimal.) State the conclusion. 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.

Explanation / Answer

Here the test-statistic is 3063.092. (Ans).

The critical value is 12.592. (Ans).

Since Observed test-statistic value > Critical value, we raject Ho. There is sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It implies that all days have same chance of being selected. (Ans).

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