Assessment-Rejection Region
Authored by Kathy Papcio
Mathematics
11th Grade
CCSS covered
Used 1+ times
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7 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the value of alpha given 90% level of confidence?
10%
5%
0.10
0.05
Answer explanation
The level of significance is the alpha level.
The value of alpha is the decimal form of the level of significance.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The type of test is left-tailed, therefore, the rejection region falls below the critical value.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the null hypothesis for the problem below?
It was revealed that the average height of elementary students is higher than 3 ft. The teacher took 28 students to test the claim at 90% level of confidence.
Answer explanation
Note that the null hypothesis always states NO relationship or NO difference, therefore we use equal sign in formulating our null hypothesis.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What type of test is used for the problem below?
It was revealed that the average height of elementary students is higher than 3 ft. The teacher took 28 students to test the claim at 90% level of confidence.
one-tailed
two-tailed
right-tailed
left-tailed
Answer explanation
This is a one-tailed test, specifically, right-tailed test. So the best answer to this question is right-tailed.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Using Geogebra, the graph of the rejection region is shown.
What type of test statistic was used?
t-test
z-test
both
Answer explanation
Since NORMAL is selected, therefore the test statistic shown is z-test.
Tags
CCSS.HSS.ID.A.4
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Using Geogebra, the graph of the rejection region is shown.
What is/are the critical values?
1.64
-1.64
-1.64 and 1.64
10
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What test statistic is used when population variance is known?
t-test
z-test
both t and z-test
Answer explanation
When variance is known, standard deviation is also given, therefore we use z-test to find the critical values of the rejection region.
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