Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, σ) for the indicated parameter. -A psychologist claims that more than 3.2 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) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}3.2 \% \ \mathrm{H}_{1}: \mathrm{p} \leq 3.2 \% \end{array}$ C) $\begin{array}{l} H_{0}: p=3.2 \% \ H_{1}: p3.2 \% \end{array}$

Question

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, σ) for the indicated parameter. -A psychologist claims that more than 3.2 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) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}<3.2 \% \ \mathrm{H}_{1}: \mathrm{p} \geq 3.2 \% \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}>3.2 \% \ \mathrm{H}_{1}: \mathrm{p} \leq 3.2 \% \end{array}$ C) $\begin{array}{l} H_{0}: p=3.2 \% \ H_{1}: p<3.2 \% \end{array}$ D) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}=3.2 \% \ \mathrm{H}_{1}: \mathrm{p}>3.2 \% \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) represents the statement of no effect or no difference, which is $p = 3.2\%$. The alternative hypothesis ($H_1$) represents the claim being tested, which is that more than 3.2% of the population suffers from extreme shyness, so $p > 3.2\%$.

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic H0:p<3.2%H1:p≥3.2%\begin{array}{l}\mathrm{H}_{0}: \mathrm{p}<3.2 \% \\\mathrm{H}_{1}: \mathrm{p} \geq 3.2 \%\end{array}H0​:p<3.2%H1​:p≥3.2%​

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $\begin{array}{l}\mathrm{H}_{0}: \mathrm{p}<3.2 \% \\\mathrm{H}_{1}: \mathrm{p} \geq 3.2 \%\end{array}$