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AP Stats - Unit 6

Authored by Paula Shaffer-Roche

Mathematics

10th Grade - University

CCSS covered

Used 180+ times

AP Stats - Unit 6
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This quiz focuses on statistical inference, specifically covering hypothesis testing and confidence intervals for population proportions. The content is appropriate for Advanced Placement (AP) Statistics students, typically found in grades 11-12. The questions assess students' understanding of fundamental concepts in inferential statistics including alpha levels, p-values, Type I and Type II errors, one-tailed versus two-tailed tests, proper hypothesis formation, confidence interval construction and interpretation, and critical z-values. Students need to demonstrate mastery of the logic behind hypothesis testing, understand the relationship between confidence levels and critical values, recognize valid hypothesis statements, and apply statistical reasoning to real-world scenarios. The material requires students to move beyond computational skills to conceptual understanding of statistical inference, including the ability to identify errors in statistical reasoning and interpret results correctly. Created by Paula Shaffer-Roche, a Mathematics teacher in US who teaches grade 10 and University level courses. This quiz serves as an excellent tool for formative assessment during Unit 6 of AP Statistics, allowing teachers to gauge student understanding before high-stakes summative assessments. The questions work effectively as warm-up problems to activate prior knowledge, practice exercises during instruction, or homework assignments to reinforce key concepts covered in class. Teachers can use this quiz to identify common misconceptions about hypothesis testing and confidence intervals, particularly around the interpretation of p-values and the construction of appropriate null and alternative hypotheses. The quiz aligns with AP Statistics standards covering statistical inference, specifically addressing College Board topics 6.1 through 6.4 which focus on the logic of significance testing, error types, test procedures for population proportions, and confidence interval estimation.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If no alpha level is given, what alpha level is assumed?

0.01
0.05
0.10
0.25

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If no p^ value is given, what should you assume p^ equals?

0.01
0.05
0.10
0.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following hypotheses is a valid example of a 1-tailed test?

Ho: p = 0.3, Ha: p > 0.4
Ho: p = 0.3, Ha: p ≠ 0.3
Ho: p^ = 0.3, Ha: p^ > 0.3
Ho: p = 0.3, Ha: p > 0.3

Tags

CCSS.HSS.IC.B.5

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When leaving for school, you make a judgement on these hypotheses. Ho: The weather will remain dry. Ha: It will rain. What are the results of the Type I and Type II errors?

Type I: Needlessly carry around an umbrella all day. Type II: Get drenched
Type I: Get drenched. Type II: Needlessly carry around an umbrella all day
Type I: Carry umbrella &  it rains. Type II: Carry no umbrella & it doesn't rain
Type I: Get drenched. Type II: Carry umbrella & it rains

Tags

CCSS.HSS.MD.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tina wants to know if the proportion of people who buy burgers is at all affected by her open mic reading. If p=0.8 before her reading, what is an appropriate set of hypotheses?

Ho: p = 0.8
Ha: p > 0.8
Ho: p = 0.8
Ha: p < 0.8
Ho: p ≠ 0.8
Ha: p = 0.8
Ho: p= 0.8
Ha: p ≠ 0.8

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is true?

We do not use sample statistics when stating hypotheses
P-value = 0.05 means the probability that the null is true is 0.05
If the p-value is small enough, we can conclude that the alternate hypothesis is true
You must examine your data prior to deciding to do a 1- or 2-tailed test

Tags

CCSS.HSS.IC.B.5

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Under what conditions would it be meaningful to construct a confidence interval estimate when the data consist of the entire population?

If the population size is large (n > 30)
If a higher level of confidence is desired
If the population is truly random
Never

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