A study prospectively examined whether sleep-disordered breathing was associated with an increasedrisk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study.Study participants were classified into four groups depending on the extent of their sleep-disorderedbreathing (none, mild, moderate, or severe). The counts of deaths over the course of the study arereported for each group in the following two-way table.MildDeathNo DeathTotalNone4010014040100140Moderate20100120Severe100100200Total200400600We want to know whether the study findings give evidence of a significant difference of the number ofdeaths between the different groups.Compute the p -value and make a decisionO The p-value < 0.0005. reject the null hypothesisO The p-value is between 0.025 and 0.001, fail to reject the null hypothesisO The p-value > 0.25. fail to reject the null hypothesisO The p-value is between 0.04 and 0.05, reject the null hypothesis

Answered: Image /qna-images/answer/2994a8f9-72f9-44b9-941c-eda4745ce821.jpgObtain the value of the test statistic. The value of the test statistic is obtained below: In the similar way the expected frequencies for the remaining cells are as follows: Thus, Thus, the value of the test statistic is 42.857Obtain the df. The degrees of freedom is obtained below: Thus, the degrees of freedom is 3. Obtain the P-value. Follow the instruction to obtain the chi square P- value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=CHIDIST” Enter the chi square as 42.857 Enter the degrees of freedom as 3 Click enter EXCEL output: From the EXCEL output, the P-value is 0.0000 Thus, the P-value is 0.0000 Conclusion: Use the significance level as 0.05. The p-value is less than the level of significance. By rejection rule reject the null hypothesis. That is, there is evidence to conclude that there is significant difference of the number of deaths between the different groups Correct option: Option 1