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QUIZ: 1-Sample Proportion & Variability Tests

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

In the US 50% of 17 year-old males are 176 cm tall or higher. In Mr. Kellar’s classroom 9 out of 13 males had a height of 176 cm or more. Mr. Kellar claims that his classroom has a higher percentage of boys taller than 176 cm.


Select the appropriate null and alternate hypotheses.

a)

H0: p̂ = 0.5

b)

H0: p̂ > 0.692

c)

H1: p̂ > 0.5

d)

H1: p̂ = 0.692

2.

In the US 50% of 17 year-old males are 176 cm tall or higher. In Mr. Kellar’s classroom 9 out of 13 males had a height of 176 cm or more. Mr. Kellar claims that his classroom has a higher percentage of boys taller than 176 cm.


Which test should be used for this situation?

a)

Z-Test for a Mean

b)

T-Test for a Mean

c)

1-Sample Proportion Z-test

d)

χ2 Test for Variability

3.

In the US 50% of 17 year-old males are 176 cm tall or higher. In Mr. Kellar’s classroom 9 out of 13 males had a height of 176 cm or more. Mr. Kellar claims that his classroom has a higher percentage of boys taller than 176 cm. Use a significance level of 0.05.


What is the calculated p-value for this test? Copy p-value exactly with all 6 digits from statskingdom.com

(a)  

4.

In the US 50% of 17 year-old males are 176 cm tall or higher. In Mr. Kellar’s classroom 9 out of 13 males had a height of 176 cm or more. Mr. Kellar claims that his classroom has a higher percentage of boys taller than 176 cm.


Based on a significance level of 0.05 do you accept or reject H0?

a)

p-value > α, accept H0

b)

p-value < α, reject H0

c)

p-value > α, reject H0

d)

p-value < α, accept H0

5.

In the US 50% of 17 year-old males are 176 cm tall or higher. In Mr. Kellar’s classroom 9 out of 13 males had a height of 176 cm or more. Mr. Kellar claims that his classroom has a higher percentage of boys taller than 176 cm.


Do your statistics support Mr. Kellar’s claim?

a)

Yes, there is a significant difference between Mr. Kellar's claim and the national average

b)

No, there is not a significant difference between Mr. Kellar's claim and the national average

6.

Mr. Kellar asked 29 of his students how many hours of sleep they got on a school night. The standard deviation of the class was 1.33 hours. Assuming the high school has a standard deviation of 1.1 hours is Mr. Kellar’s class standard deviation different than the high school?


What are the appropriate null and alternate hypotheses for this situation

a)

H0: s = 1.1

b)

H0: s = 1.33

c)

H1: s > 1.33

d)

H1: s ≠ 1.1

7.

Mr. Kellar asked 29 of his students how many hours of sleep they got on a school night. The standard deviation of the class was 1.33 hours. Assuming the high school has a standard deviation of 1.1 hours is Mr. Kellar’s class standard deviation different than the high school?


Which test should be used for this situation?

a)

Z-Test for a Mean

b)

T-Test for a Mean

c)

1-Sample Proportion Z-test

d)

χ2 Test for Variability

8.

Mr. Kellar asked 29 of his students how many hours of sleep they got on a school night. The standard deviation of the class was 1.33 hours. Assuming the high school has a standard deviation of 1.1 hours is Mr. Kellar’s class standard deviation different than the high school? Use a significance level of 0.05.


What is the calculated p-value for this test? Copy p-value exactly with all 6 digits from statskingdom.com

(a)  

9.

Mr. Kellar asked 29 of his students how many hours of sleep they got on a school night. The standard deviation of the class was 1.33 hours. Assuming the high school has a standard deviation of 1.1 hours is Mr. Kellar’s class standard deviation different than the high school?


Based on a significance level of 0.05 do you accept or reject H0?

a)

p-value > α, accept H0

b)

p-value < α, reject H0

c)

p-value > α, reject H0

d)

p-value < α, accept H0

10.

Mr. Kellar asked 29 of his students how many hours of sleep they got on a school night. The standard deviation of the class was 1.33 hours. Assuming the high school has a standard deviation of 1.1 hours is Mr. Kellar’s class standard deviation different than the high school?

a)

Yes, there is a significant difference between Mr. Kellar's class and the school standard deviation

b)

No, there is not a significant difference between Mr. Kellar's class and the school standard deviation