A medical journal reported the following frequencies of deaths due to cardiac arrest for each day of the week: Cardiac Death by Day of the Week Day f Monday 40 Tuesday 17 Wednesday 16 Thursday 29 Friday 15 Saturday 20 Sunday 17 At 95% confidence, determine whether the number of deaths is uniform over the week.
Added by Cheryl K.
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Null hypothesis: The number of deaths due to cardiac arrest is uniform over the week. Alternative hypothesis: The number of deaths due to cardiac arrest is not uniform over the week. Show more…
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A researcher wanted to determine whether bicycle deaths were uniformly distributed over the days of the week. She randomly selected 200 deaths that involved a bicycle, recorded the day of the week on which the death occurred, and obtained the following results (the data are based on information obtained from the Insurance Institute for Highway Safety). $$\begin{array}{lc|lc}\begin{array}{l}\text { Day of } \\\text { the Week }\end{array} & \text { Frequency } & \begin{array}{l}\text { Day of } \\\text { the Week }\end{array} & \text { Frequency } \\\hline \text { Sunday } & 16 & \text { Thursday } & 34 \\\hline \text { Monday } & 35 & \text { Friday } & 41 \\\hline \text { Tuesday } & 16 & \text { Saturday } & 30 \\\hline \text { Wednesday } & 28 & &\end{array}$$ Is there reason to believe that bicycle fatalities occur with equal frequency with respect to day of the week at the $\alpha=0.05$ level of significance?
Inference on Categorical Data
Goodness-of-Fit Test
An article was published [13] conceming the incidence of cardiac death attributable to the earthquake in Los Angeles County on January $17,1994 .$ In the week before the earthquake there were an average of 15.6 cardiac deaths per day in Los Angeles County. On the day of the earthquake, there were 51 cardiac deaths. What is the exact probability of 51 deaths occurring on one day if the cardiac death rate in the previous week continued to hold on the day of the earthquake?
Qudsiya A.
A researcher wanted to determine whether pedestrian deaths were uniformly distributed over the days of the week. She randomly selected 300 pedestrian deaths, recorded the day of the week on which the death occurred, and obtained the following results (the data are based on information obtained from the Insurance Institute for Highway Safety). $$\begin{array}{lc|lc}\begin{array}{l}\text { Day of } \\\text { the Week }\end{array} & \text { Frequency } & \begin{array}{l}\text { Day of } \\\text { the Week }\end{array} & \text { Frequency } \\\hline \text { Sunday } & 39 & \text { Thursday } & 41 \\\hline \text { Monday } & 40 & \text { Friday } & 49 \\\hline \text { Tuesday } & 30 & \text { Saturday } & 61 \\\hline \text { Wednesday } & 40 & &\end{array}$$ Test the belief that the day of the week on which a fatality happens involving a pedestrian occurs with equal frequency at the $\alpha=0.05$ level of significance.
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