Consider Sampling from a Population Whose Proportion of Successes Is $p = 0.1$

question 16

Essay

Consider sampling from a population whose proportion of successes is $p = 0.1$ . As the sample size, $n$ , increases, some characteristics of the sampling distribution of $\hat { p }$ change. Which of the following characteristics will change as $n$ increases, and what is the nature of the change?
a) The mean of the sampling distribution of $\hat { p }$
b) The standard deviation of the sampling distribution of $\hat { p }$
c) The shape of the sampling distribution of $\hat { p }$

---

Definitions:

Past-Exception Question

A question used in therapy to help clients identify times in the past when their problem did not occur, emphasizing their ability to overcome difficulties.

Miracle Question

A solution-focused technique that asks clients to envision how their life would change if a miracle solved their biggest problem overnight.

Double-Sided Reflection

In motivational interviewing, a technique that acknowledges what a client has said but also introduces an alternative perspective to consider.

Ambivalence

The state of having mixed feelings or contradictory ideas about something or someone.