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It has been hypothesised that the probability of having an asthma attack on a particular day may vary across the days of the week. Baibergenovet

It has been hypothesised that the probability of having an asthma attack on a particular day may vary across the days of the week. Baibergenovet al.(2005) report a longitudinal study in which the number of emergency department admissions due to asthma were recorded in Ontario between April 2001 and March 2004. Suppose the data were as in the table below:

Day of attack Mon Tues Wed Thur Fri Sat Sun
Number recorded 15463 13777 13476 12928 12531 14272 16725

Baibergenova, A., Thabane, L., Akhtar-Danesh, N., Levine, M., Gafni, A., Moineddin, R. and Pulcins, I. (2005): Effect of gender, age, and severity of asthma attack on patterns of emergency department visits due to asthma by month and day of the week.European Journal of Epidemiology20, No.11, 947-956.

Part a)

Which graphical method would best display the above data?

A.A pie chart

B.A boxplot

C.A stem-and-leaf plot

D.A bar chart

E.A histogram

Part b)

Which of the following best describes the null hypothesis?

A.The probability of having an asthma attack in Ontario on a particular day varies across the days of the week.

B.The probability of having an asthma attack in Ontario on a particular day does not vary across the days of the week.

C.The mean number of asthma attacks in Ontario per day varies by day of the week.

D.There is no variation in the daily number of asthma attacks in Ontario.

E.The number of asthma attacks in Ontario per day varies by day of the week.

Part c)

Under the null hypothesis, what would be the expected number of emergency admissions due to asthma in Ontario on a Tuesday?

Give your answer to 2 decimal places.

Part d)

Compute your test statistic here using R, giving your answer to 2 decimal places.

Part e)

Provide the P-value of your test to 3 decimal places.

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