Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$, $\sigma$ )for the indicated parameter. -The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$. A) $\begin{array}{l} \mathrm{H}_{0}: \sigma=14.7 \ \mathrm{H}_{1}: \sigma14.7 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \sigma14.7 \end{array}$ D) $\begin{array}{l} H_{0}: \sigma14.7 \ H_{1}: \sigma \leq 14.7 \end{array}$

Question

Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$, $\sigma$ )for the indicated parameter. -The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$. A) $\begin{array}{l} \mathrm{H}_{0}: \sigma=14.7 \ \mathrm{H}_{1}: \sigma<14.7 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: \sigma=14.7 \ \mathrm{H}_{1}: \sigma>14.7 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \sigma<14.7 \ \mathrm{H}_{1}: \sigma>14.7 \end{array}$ D) $\begin{array}{l} H_{0}: \sigma>14.7 \ H_{1}: \sigma \leq 14.7 \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents a statement of no effect or no difference, and it is usually formulated as an equality. The alternative hypothesis ($H_1$) represents what we are trying to find evidence for in our hypothesis test. In this case, since the principal claims that the test scores vary less than those of a neighboring school (which have a variation of $\sigma = 14.7$), the null hypothesis should state the condition of equality ($\sigma = 14.7$), and the alternative hypothesis should reflect the claim ($\sigma < 14.7$).

Express the Null Hypothesis H0\mathrm { H } _ { 0 }H0​

Express the Null Hypothesis $\mathrm { H } _ { 0 }$