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 psychologist claims that more than 6.3 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.

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 psychologist claims that more than 6.3 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness. A) $\begin{array}{l} \mathrm{H}_{0}: p<6.3 \% \ \mathrm{H}_{1}: \mathrm{p} \geq 6.3 \% \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}=6.3 \% \ \mathrm{H}_{1}: \mathrm{p}<6.3 \% \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}=6.3 \% \ \mathrm{H}_{1}: \mathrm{p}>6.3 \% \end{array}$ D) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}>6.3 \% \ \mathrm{H}_{1}: \mathrm{p} \leq 6.3 \% \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($\mathrm{H}_0$) typically represents a statement of no effect or no difference and is often expressed as an equality. The alternative hypothesis ($\mathrm{H}_1$) represents what the researcher is trying to prove, in this case, that more than 6.3% of the population suffers from professional problems due to extreme shyness. Therefore, $\mathrm{H}_0: p = 6.3\%$ and $\mathrm{H}_1: p > 6.3\%$.

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

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