Express the null hypothesis and the alternative 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 alternative 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 typically states that there is no effect or no difference, so it would be $p = 5.8\%$. The alternative hypothesis is what the psychologist is claiming, which is that more than 5.8% of the population suffers from professional problems due to extreme shyness, so it would be $p > 5.8\%$.

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

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