EXAMPLE 2. A librarian claims that there is a difference in the proportions of children and adults who have read at least one book in the last 30 days. In a random sample of 148 children and 122 adults, 73 children and 59 adults have read at least one book in the last 30 days. At a 1% significance level, test the librarian's claim. Define Population 1. a. People who read at least one book in the last 30 days b. Children who have read at least one book in the last 30 days c. Children d. 148 children Define the parameter of interest. O a. P - P, = the difference in the sample proportions of 148 children and 122 adults who have read at least one book in the last 30 days b. P - P2 = the difference in the sample proportions of 148 children and 122 adults who have read at least one book in the last 30 days c. None of the other choices d. P1 - P2 = the difference in the population proportions of children and adults who have read at least one book in the last 30 days State the alternative hypothesis. a. p - P2 +0 b. P1 > P2 c. None of the other choices o d.p - P2 < 0

EXAMPLE 2. A librarian claims that there is a difference in the proportions of children and adults who have read at least one book in the last 30 days. In a random sample of 148 children and 122 adults, 73 children and 59 adults have read at least one book in the last 30 days. At a 1% significance level, test the librarian's claim. Define Population 1. a. People who read at least one book in the last 30 days b. Children who have read at least one book in the last 30 days c. Children d. 148 children Define the parameter of interest. O a. P - P, = the difference in the sample proportions of 148 children and 122 adults who have read at least one book in the last 30 days b. P - P2 = the difference in the sample proportions of 148 children and 122 adults who have read at least one book in the last 30 days c. None of the other choices d. P1 - P2 = the difference in the population proportions of children and adults who have read at least one book in the last 30 days State the alternative hypothesis. a. p - P2 +0 b. P1 > P2 c. None of the other choices o d.p - P2 < 0

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Description: Hi, I would appreciate if you could help me with these questions please.Thank you so much in advance. **Statistics and Hypothesis Testing - Multiple Choice Questions****Question 1:**Which of the following statements is incorrect?- a. Unknown p₁, but

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Hi, I would appreciate if you could help me with these questions please.

Thank you so much in advance.

**Statistics and Hypothesis Testing - Multiple Choice Questions**

**Question 1:**
Which of the following statements is incorrect?
- a. Unknown p₁, but can we assume that it is fixed
- b. Dependent trials since we have a random sample of children
- c. n₁p̂₁ ≥ 10
- d. None of the other choices

**Question 2:**
What is the distribution of the test statistic?
- a. Z distribution
- b. t distribution
- c. None of the other choices
- d. Uniform

**Question 3:**
Calculate the test statistic.
- a. None of the other choices
- b. 0.16
- c. 0.15
- d. 0.14

**Question 4:**
If the test statistic is 0.18, state your decision.
- a. Reject H₀
- b. Fail to reject Hₐ
- c. None of the other choices
- d. Fail to reject H₀

**Example 2**

A librarian claims that there is a difference in the proportions of children and adults who have read at least one book in the last 30 days. In a random sample of 148 children and 122 adults, 73 children and 59 adults have read at least one book in the last 30 days. At a 1% significance level, test the librarian's claim.

---

**Define Population 1**

- o a. People who read at least one book in the last 30 days
- o b. Children who have read at least one book in the last 30 days
- o c. Children
- o d. 148 children

---

**Define the parameter of interest.**

- o a. $\hat{p}_1 - \hat{p}_2$ = the difference in the sample proportions of 148 children and 122 adults who have read at least one book in the last 30 days
- o b. $p_1 - p_2$ = the difference in the sample proportions of 148 children and 122 adults who have read at least one book in the last 30 days
- o c. None of the other choices
- o d. $p_1 - p_2$ = the difference in the population proportions of children and adults who have read at least one book in the last 30 days

---

**State the alternative hypothesis.**

- o a. $p_1 - p_2 \neq 0$
- o b. $p_1 > p_2$
- o c. None of the other choices
- o d. $p_1 - p_2 < 0$

This section will assist learners in understanding how to test hypotheses about the difference between two proportions. The example uses real-world data to make the concept relatable and easier to comprehend.

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