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

Null hypothesis:
`p=0.72`

Alternative hypothesis:
`p \\eq 0.72`

`p_v = 2*P(|z|>z_(calc))`

And the best answer for this case is:

C. p-value

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 \\eq 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{(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