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A random sample of subjects was asked to identify the day of the week that is...

A random sample of 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. The null and alternative hypotheses are; H0: 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. Select the correct conclusion from those given below.

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Answer #1

The goodness of fit test results aren't in question but I will help you solve the problem.

If the pvalue that you have got is less than .05 (this is assumed level of significance if nothing is given in the question) then we conclude that the null hypothesis stands rejected and that atleast one day of the week has a different chance of being selected.

If pvalue is more than .05 then we conclude that all days have an equal chance of being selected. In this case we have failed to reject the null hypothesis.

If pvalue is not given convert the chi square test statistic to pvalue using the chi square tables and then perform the above procedure to arrive at the conclusion.

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