Test Hypotheses about a Population Proportion
-Determine the standardized test statistic, $z$, to test the claim about the population proportion $p 0.015$ given $\mathrm { n } = 150$ and $\hat { \mathrm { p } } = 0.027$. Use $\alpha = 0.01$.
A) $1.21$
B) $1.06$
C) $3.14$
D) $1.56$

Question

Test Hypotheses about a Population Proportion
-Determine the standardized test statistic, $z$, to test the claim about the population proportion $p > 0.015$ given $\mathrm { n } = 150$ and $\hat { \mathrm { p } } = 0.027$. Use $\alpha = 0.01$.
A) $1.21$
B) $1.06$
C) $3.14$
D) $1.56$

Quizplus · Accepted Answer

The standardized test statistic is calculated as:$z = \frac{\hat{p} - p}{\sqrt{p(1-p)/n}}$Plugging in the given values, we get:$z = \frac{0.027 - 0.015}{\sqrt{0.015(1-0.015)/150}} = 1.21$Therefore, the correct choice is A.

Test Hypotheses About a Population Proportion -Determine the Standardized Test zzz

Test Hypotheses About a Population Proportion
-Determine the Standardized Test $z$