Question

Heather, a sociology major is interested in studying mass media topics. She is particularly interested in the percentage of mass media topics that relate to entertainment. Based on previous research, 72% of mass media topics relate to entertainment. She suspects this percent is different. During the process of hypothesis testing, she calculates a probability using the test statistic.
What is the probability associated with the test statistic called?

A. alternative hypothesis
B. critical value
C. p-value
D. significance level

Answer 1

Answer:

Null hypothesis:$p=0.72$  

Alternative hypothesis:$p \neq 0.72$

$p_v = 2*P(|z|>z_{calc})$

And the best answer for this case is:

C. p-value

Step-by-step explanation:

Data given and notation

n represent the random sample taken

$\hat p$ estimated proportion of interest

$p_o=0.72$ is the value that we want to test

$\alpha=0.05$ 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 i 0.72 or no.:  

Null hypothesis:$p=0.72$  

Alternative hypothesis:$p \neq 0.72$  

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 $p_o$.

For this case the only probability that can be calculated from the statistic calculated is the p value given by:

$p_v = 2*P(|z|>z_{calc})$

And the best answer for this case is:

C. p-value