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. -A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, $p$, is less than 2 in every one thousand. A) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}0.002 \end{array}$ C)$\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}=0.002 \ \mathrm{H}_{1}: \mathrm{p}0.002 \ \mathrm{H}_{1}: \mathrm{p} \leq 0.002 \end{array}$

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. -A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, $p$, is less than 2 in every one thousand. A) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}<0.002 \ \mathrm{H}_{1}: \mathrm{p} \geq 0.002 \end{array}$ B)$\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}=0.002 \ \mathrm{H}_{1}: \mathrm{p}>0.002 \end{array}$ C)$\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}=0.002 \ \mathrm{H}_{1}: \mathrm{p}<0.002 \end{array}$ D) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}>0.002 \ \mathrm{H}_{1}: \mathrm{p} \leq 0.002 \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($\mathrm{H}_0$) typically states that there is no effect or no difference, and it is usually formulated as an equality. The alternative hypothesis ($\mathrm{H}_1$) is what the researcher aims to support, indicating there is an effect or a difference. In this case, since the claim is that the proportion ($p$) of Americans that have seen a UFO is less than 2 in every one thousand (0.002), the null hypothesis should state the proportion as equal to 0.002 ($\mathrm{H}_0: p = 0.002$), and the alternative hypothesis should reflect the claim ($\mathrm{H}_1: p < 0.002$).

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

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