Goodness of Fit Using Computer Software Output 01c A random sample of subjects w

Question

Goodness of Fit Using Computer Software Output 01c 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 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 Num Categories7 Degrees of freedom6 Expected Freq Test statistic, 10.843 Critical ?2 12.592 P-Value 110.7143 0.0934 The null and alternative hypotheses are 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 Select the correct conclusion from those given below Answer 1:?Reject Ho There is sufficient evidence to warrant rejection of the claim, that tre days pf week are selected with a uniform distribution. It does not appear that all days bave ihe sa chance of being selected 2. Reject Ho. There is not sufmicient evidence tol warrant rejection ofithe claim that the days of the week are selected with a uniform distribution. It appears thatal days have the same chance of being selected 3. Falil to reject Ho There is not suficent evidehce to warrant rejection of the ciam that the days of the week are selectds with a uniform distributiph. It appears thatall days have the same chance of being selected 4Falil to reject Ho Thèrd is sumcient evidence to Harrant jection of thelciaim that the days of the week are selected wth a uniform dstribution it boes nof appeat thai al days have lthe same chance of being s

Explanation / Answer

here as test statistic 10.843 is not higher than critical value we can not reject null hypothesis

correct conclusion is : option 3

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