Use the Given Information to Find The $P$ -Value Also, Use A to Find

question 112

Multiple Choice

Use the given information to find the $P$ -value. Also, use a $0.05$ significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis) . With $H _ { 1 } : p \neq 3 / 5$ , the test statistic is $z = 0.78$ .

• A) \(0.4354\); reject the null hypothesis
• B) \(0.4354\); fail to reject the null hypothesis
• C) \(0.2177\); reject the null hypothesis
• D) \(0.2177\) fail to reject the null hypothesis

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Definitions:

Chi-squared Distribution

A statistical tool used to compare observed data with data we would expect to obtain according to a specific hypothesis.

Sample

A subset of individuals or units from a larger population used to estimate characteristics of the whole population.

Population

The entire pool from which a sample is drawn for statistical analysis. It can include people, objects, or events depending on the study.

Variance

Measures the dispersion of a set of data points around their mean; mathematically, it is the average of the squared differences from the Mean.