Express the null hypothesis and the altemative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. A psychologist claims that more than 5.8 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) $\begin{array} { l } H _ { 0 } : p = 5.8 \% \ H _ { 1 } : p 5.8 \% \end{array}$ D) $\begin{array} { l } H _ { 0 } : p

Question

Express the null hypothesis and the altemative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. A psychologist claims that more than  5.8  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)  $\begin{array} { l } 
H _ { 0 } : p = 5.8 \% \
H _ { 1 } : p < 5.8 \%
\end{array}$
B)  $\begin{array} { l } 
H _ { 0 } : p = 5.8 \% \
H _ { 1 } : p \leq 5.8 \%
\end{array}$
C)  $\begin{array} { l } 
H _ { 0 } : p = 5.8 \% \
H _ { 1 } : p > 5.8 \%
\end{array}$
D)  $\begin{array} { l } 
H _ { 0 } : p < 5.8 \% \
H _ { 1 } : p \geq 5.8 \%
\end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents a statement of no effect or no difference, and it is set up to be tested against an alternative hypothesis ($H_1$ or $H_a$). In this case, the claim is that more than 5.8% of the population suffers from professional problems due to extreme shyness, which means the psychologist believes the true percentage ($p$) is greater than 5.8%. Therefore, the null hypothesis should state that $p = 5.8\%$, and the alternative hypothesis should reflect the psychologist's claim, which is $p > 5.8\%$.

Express the Null Hypothesis and the Altemative Hypothesis in Symbolic (μ,p,σ)( \mu , p , \sigma )(μ,p,σ)

Express the Null Hypothesis and the Altemative Hypothesis in Symbolic $( \mu , p , \sigma )$