A company implemented a new remote work policy and collected data on the number of weekly absences before and after the policy launch. Listed below are the numbers of absences for 10 10 different weeks before and 10 10 different weeks after the policy started. Assume that we want to use a 0.05 0.05 significance level to test the claim that the new policy led to fewer absences. Identify the null and alternative hypotheses. Data (Number of Absences):

0\end{cases}"> { H 0 ⁣ : μ d = 0 H a ⁣ : μ d > 0 \begin{cases}H_0\!:\mu_{d}=0\\ H_{a}\!:\mu_{d}>0\end{cases}

0\\ H_{a}\!:\mu_{d}=0\end{cases}"> { H 0 ⁣ : μ d > 0 H a ⁣ : μ d = 0 \begin{cases}H_0\!:\mu_{d}>0\\ H_{a}\!:\mu_{d}=0\end{cases}

0\end{cases}"> { H 0 ⁣ : μ d < 0 H a ⁣ : μ d > 0 \begin{cases}H_0\!:\mu_{d}<0\\ H_{a}\!:\mu_{d}>0\end{cases}

{ H 0 ⁣ : μ d = 0 H a ⁣ : μ d < 0 \begin{cases}H_0\!:\mu_{d}=0\\ H_{a}\!:\mu_{d}<0\end{cases}

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Problem 104Multiple Choice

A company implemented a new remote work policy and collected data on the number of weekly absences before and after the policy launch. Listed below are the numbers of absences for $10$ different weeks before and $10$ different weeks after the policy started. Assume that we want to use a $0.05$ significance level to test the claim that the new policy led to fewer absences. Identify the null and alternative hypotheses.
Data (Number of Absences):

$2 cases Case 1: H sub 0 comma colon mu sub d is greater than 0 Case 2: H sub a comma colon mu sub d equals 0$

$2 cases Case 1: H sub 0 comma colon mu sub d is less than 0 Case 2: H sub a comma colon mu sub d is greater than 0$

$2 cases Case 1: H sub 0 comma colon mu sub d equals 0 Case 2: H sub a comma colon mu sub d is greater than 0$

$2 cases Case 1: H sub 0 comma colon mu sub d equals 0 Case 2: H sub a comma colon mu sub d is less than 0$

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