Problem

Listed in the accompanying table are numbers of hospital admissions in one region due to traffic accidents on different Fridays falling on the 6 th day of a month and the following 13 th day of the month. Assume that we want to use a 0.01 significance level to test the claim that the data support the claim that fewer hospital admissions due to traffic accidents occur on Friday the 6 th than on the following Friday the 13th. Identify the null hypothesis and alternative hypothesis.
Friday 6th
Friday 13 th
10
4
12
9
2
5
12
12
11
13
16
12
4
$\vdots$
Let the differences be the accidents on the 6 th minus the accidents on the 13 th.

The null hypothesis is $\mathrm{H}_{0}: \mu_{d}=0$.
(Type an integer or a decimal. Do not round.)
The alternative hypothesis is $\mathrm{H}_{1}: \mu_{\mathrm{d}} \quad \mathbf{\nabla} \square$.
(Type an integer or a decimal. Do not round.)

Answer

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Answer

The alternative hypothesis is \(H_{1}: \mu_{d}<0\). This means that there are fewer hospital admissions due to traffic accidents on Friday the 6th than on the following Friday the 13th.

Steps

Step 1 :The null hypothesis is \(H_{0}: \mu_{d}=0\). This means that there is no difference in the number of hospital admissions due to traffic accidents between Friday the 6th and the following Friday the 13th.

Step 2 :The alternative hypothesis is \(H_{1}: \mu_{d}<0\). This means that there are fewer hospital admissions due to traffic accidents on Friday the 6th than on the following Friday the 13th.

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