A random sample of 790 subjects was asked to identify the day of the week that i

Question

A random sample of 790 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 Num Categories Degrees of freedom Expected Freq Test statistic, ,2 Critical 2 P-Value 2956.500 12.592 0.0000 6 112.8571 Determine the null and altenative hypotheses. Ho Identify the test statistic. (Type an integer or a decimal.) Identify the critical value x2-D(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. Enter your answer in each of the answer boxes.

Explanation / Answer

Solution

H0 : all days fo not have same chances of being selected

H1 :all days have same chances of being selected

chi square test statistic = 2956.50

critical value = 12.592

Reject H0, there are no sufficient evidence

it concludes that all days have the same chance of being selected

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