A school principal wants to determine if there is a positive relationship between the number of hours students spend studying and their scores on a standardized test. The principal randomly selects 1212 students, records their study hours from the past week, and their corresponding test scores. Based on this data, what are the null and alternative hypotheses for this study?

0\end{cases}"\u003e{H0:ρ≤0H1:ρ\u003e0\begin{cases}$$H_0$$:\rho\le0\\ $$H_1$$:\rho\u003e0\end{cases}

{H0:ρ≥0H1:ρ0\begin{cases}$$H_0$$:\rho\geq0\\ $$H_1$$:\rho

0\end{cases}"\u003e{H0:ρ=0H1:ρ\u003e0\begin{cases}$$H_0$$:\rho=0\\ $$H_1$$:\rho\u003e0\end{cases}

{H0:ρ=0H1:ρ≠0\begin{cases}$$H_0$$:\rho=0\\ $$H_1$$:\rho\neq0\end{cases}

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9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

9. Hypothesis Testing for One Sample

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Problem 406Multiple Choice

A school principal wants to determine if there is a positive relationship between the number of hours students spend studying and their scores on a standardized test. The principal randomly selects $12$ students, records their study hours from the past week, and their corresponding test scores. Based on this data, what are the null and alternative hypotheses for this study?

$2 cases Case 1: H sub 0 colon rho is greater than or equal to 0 Case 2: H sub 1 colon rho is less than 0$

$2 cases Case 1: H sub 0 colon rho equals 0 Case 2: H sub 1 colon rho is greater than 0$

$2 cases Case 1: H sub 0 colon rho equals 0 Case 2: H sub 1 colon rho is not equal to 0$

$2 cases Case 1: H sub 0 colon rho is less than or equal to 0 Case 2: H sub 1 colon rho is greater than 0$

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