Problem

Listed in the accompanying table are numbers of hospital admissions in one region due to traffic accidents on different Fridays falling on the 6th day of a month and the following 13 th day of the month. Assume that we want to use a 0.05 significance level to test the claim that the data support the claim that more hospital admissions due to traffic accidents occur on Friday the 6th than on the following Friday the 13th. Identify the null hypothesis and alternative hypothesis. Friday 6 th Friday 13 th 11 7 $\begin{array}{cccc}12 & 12 & 1 & 4 \\ 16 & 10 & 3 & 10\end{array}$ 13 11 : )

Solution

Step 1 :The null hypothesis and alternative hypothesis are statements about the population that are made to test a claim. In this case, the claim is that more hospital admissions due to traffic accidents occur on Friday the 6th than on the following Friday the 13th.

Step 2 :The null hypothesis (H0) is a statement of no effect, difference, or relationship. In this case, the null hypothesis would be that there is no difference in the number of hospital admissions due to traffic accidents on Friday the 6th and the following Friday the 13th.

Step 3 :The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis. It is what you might believe to be true or hope to prove true. In this case, the alternative hypothesis would be that more hospital admissions due to traffic accidents occur on Friday the 6th than on the following Friday the 13th.

Step 4 :Final Answer: The null hypothesis (H0) is: There is no difference in the number of hospital admissions due to traffic accidents on Friday the 6th and the following Friday the 13th. The alternative hypothesis (Ha) is: More hospital admissions due to traffic accidents occur on Friday the 6th than on the following Friday the 13th.

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Source: https://solvelyapp.com/problems/19880/

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