Mathematics: You are testing the null hypothesis that the population proportion equals .45, using data you collected from a sample of 100 adults. You sample proportion equals .30. What does Z equal

the answer to your question is c...

You are testing the null hypothesis that the population

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20.01.2022

$z=\frac{0.3 -0.45}{\sqrt{\frac{0.45(1-0.45)}{100}}}=-3.015$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.3$ estimated proportion of interest

p_o=0.45 is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.45.:

Null hypothesis: p=0.45

Alternative hypothesis: $p \neq 0.45$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value p_o .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.3 -0.45}{\sqrt{\frac{0.45(1-0.45)}{100}}}=-3.015$

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