Assume That You Plan to Use a Significance Level Of \alpha

question 13

Multiple Choice

Assume that you plan to use a significance level of $\alpha = 0.05$ to test the claim that $p _ { 1 } = p _ { 2 }$ . Use the given sample sizes and numbers of successes to find the $P$ -value for the hypothesis test.
$$\begin{array} { l l } n _ { 1 } = 50 & n _ { 2 } = 75 \\x _ { 1 } = 20 & x _ { 2 } = 15\end{array}$$

• A) 0.0001
• B) 0.1201
• C) 0.0146
• D) 0.0032

---

Definitions:

Facework

Strategies used to manage one's own image or face in social interactions, and to uphold or repair the face of others.

Face

is a sociolinguistic concept that refers to an individual's projected image or social value within interpersonal communications.

Self-worth

The subjective evaluation of one's own value as a person, often influenced by self-perception and external validation.

Social Comparison

The process of evaluating oneself by comparing with others.