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WorksheetsStatistics and Probability Quiz
Total questions: 50
Worksheet time: 25mins
Which of the following states that there is no difference between a parameter and a specific value?
Alternative Hypothesis
Exact Hypothesis
Null Hypothesis
Unknown Hypothesis
What symbol is used to indicate an alternative hypothesis?
H0
HH
Ha
H2
What symbol is used to indicate a null hypothesis?
H0
HH
Ha
H2
What are the two types of errors in decision?
Type A and B
Type I and II
Type X and Y
Type 1 and 5
What is the numerical value that states something about the entire population being studied?
Hypothesis
Parameter
Population
Statistic
Why is a parameter difficult or impossible to obtain exactly?
Because the entire population under study is almost impossible to describe numerically.
Because it only focuses on the sample being studied.
Because of the presence of the null and alternative hypothesis.
Because of the statistic used to describe the sample.
In the situation, "A car manufacturer advertises that a new car averages 39 miles per gallon of gasoline.", which is a parameter?
Mean miles per liter of gas of a new car.
Standard deviation of miles per liter of gas of a new car.
Mean per gallon of gas of a new car.
Standard deviation of kilometers per gallon of gas of a new car.
What is the null hypothesis in the statement: An airline company claims that its flight arrived early 92% of the time?
All of the flights arrive early 92% of the time.
All of the flights did not arrive early 92% of the time.
All of the flights were not able to arrive early 92% of the time.
All of the flights arrive early 100% of the time.
An investment company claims that its clients make an average of 8% return on investments every year. What is the alternative hypothesis?
Clients make an average of 8% return on investments every year.
Clients do not make an average of 8% return on investments every year.
Clients surely make an average of 8% return on investments every year.
Clients make an average of 92% return on investments every year.
In the statement "The General Manager of an air conditioner tells an investigative reporter that at least 85% of its customers are 'completely satisfied' with their overall purchase performance", the hypothesis is "Customers who are completely satisfied with their overall purchase performance is lesser than 85%". What kind of hypothesis is this?
Alternative Hypothesis
Null Hypothesis
Probability Hypothesis
Statistics
How do we right in symbols the hypothesis in the previous item?
H0: μ>85%
H0: μ<85%
Ha: μ>85%
Ha: μ<85%
What test statistic is used when the variables follow a normal distribution and the population variance is known?
T-test
Z-Test
Central Limit Theorem
N-Test
Which statement describes the null hypothesis?
The average life of the newly developed battery for a tablet is at least 24 hours.
The average life of the newly developed battery for a tablet is at most 24 hours.
The average life of the newly developed battery for a tablet is 24 hours.
The average life of the newly developed battery for a tablet is not equal to 24 hours.
Which statement describes the alternative hypothesis?
The average life of the newly developed battery for a tablet is greater than 24 hours.
The average life of the newly developed battery for a tablet is less than 24 hours.
The average life of the newly developed battery for a tablet is equal to 24 hours.
The average life of the newly developed battery for a tablet is not equal to 24 hours.
What is the null hypothesis in symbols?
Ho: 𝝁 = 𝟐4
Ho: 𝝁 ≥ 𝟐4
Ho: 𝝁 ≤ 𝟐4
Ho: 𝝁 ≠ 𝟐4
What is the alternative hypothesis in symbols?
Ha: 𝝁 = 𝟐4
Ha: 𝝁 > 𝟐4
Ha: 𝝁 < 𝟐4
Ha: 𝝁 ≠ 𝟐4
If the variance is unknown and the sample size is small, which test statistic is appropriate?
t-test
two-tailed test
z-test
one-tailed test
Which of the following characteristics can be considered in using z-test/statistic as an appropriate test?
Sample standard deviation is known.
Population is not normally distributed.
The sample size is less than 30.
Population standard deviation is unknown.
In formulating the alternative hypothesis, what mathematical symbol is applicable to use in the statement, "The average score of Grade 11 (HUMSS) in Statistics is 75."?
<
>
=
≠
A vacuum cleaner consumes less than 46 kwh per year. What hypothesis test can you use in this claim?
left-tailed
null hypothesis
right-tailed
alternative hypothesis
The sign of the alternative hypothesis in a left-tailed test is always ________.
Equal
less than
not equal
greater than
What kind of hypothesis is illustrated in the statement below? "There is no significant difference between the average weekly allowances of morning and afternoon students in Manaring Integrated High School."
one-tailed test
null hypothesis
two-tailed test
alternative hypothesis
"The introduction of modern computers does not affect the performance of the students." What kind of hypothesis is it?
Null
alternative
Mean
standard deviation
What is the null hypothesis?
H0: μ≤10
H0: μ≥10
H0: μ=10
H0: μ≠10
What test statistic should be used?
T-test
Z-Test
Central Limit Theorem
N-Test
The survey shows that the number of students (n) who have parents with a house of their own is less than 20.
𝑛 < 20
𝑛 > 20
𝑛 ≤ 20
𝑛 ≥ 20
Mother gives me at most P200 allowance (n) in a week.
𝑛 ≥ 200
𝑛 ≤ 200
𝑛 > 200
𝑛 < 200
Larry is an industrious appliance salesman. His average sales (n) in a week is at least P10, 000.
𝑛 < 10, 000
𝑛 > 10, 000
𝑛 ≤ 10, 000
𝑛 ≥ 10, 000
A son's savings (n) is greater than P1,500.
𝑛 = 1,500
𝑛 ≠ 1,500
𝑛 > 1,500
𝑛 ≥ 1,500
Marco's salary (n) is equal to P20, 000.
𝑛 = 20,000
𝑛 ≠ 20,000
𝑛 ≤ 20,000
𝑛 < 20,000
Which statement is true about the null and alternative hypothesis?
The null and alternative hypotheses should be complementary and non-overlapping.
The null and alternative hypotheses should be non-complementary and overlapping
The null and alternative hypotheses should not be related.
The null and alternative hypotheses should always be the same.
What are the two regions in hypothesis testing?
One tailed and two tailed
Rejection and Acceptance
Null and Alternative
Null and Void
What should we do with the null hypothesis if the value of the test statistic falls in the rejection region?
Accept the null hypothesis
Reject the null hypothesis
Either accept or reject the null hypothesis
None of these
What should we do with the null hypothesis if the value of the test statistic falls in the acceptance region?
Accept the null hypothesis
Reject the null hypothesis
Either accept or reject the null hypothesis
None of these
What is the null hypothesis?
Ho: p > 0.10
Ho: p < 0.10
Ha: p = 0.10
Ho: p = 0.10
What is the alternative hypothesis?
Ho: p > 0.10
Ho: p < 0.10
Ha: p = 0.10
Ho: p ≠ 0.10
What is the critical region?
z > 1.96 or z < -1.96
z > 1.96 or z < -1.70
z > 1.70 or z < -1.96
z > 1.70 or z < -1.70
In the two-tailed test, the rejection region lies on ___________ of the normal distribution:
center
left tail
right tail
both tails
The value that separates a rejection region from an acceptance region is called a ___________.
Parameter
critical value
Hypothesis
significance level
What is the null hypothesis?
The proportion of students of the school who passed the NAT this year is not equal to 0.75.
The proportion of students of the school who passed the NAT this year is greater than 0.75.
The proportion of students of the school who passed the NAT this year is less than 0.75.
The proportion of students of the school who passed the NAT this year is equal to 0.75.
How do we right in symbols the hypothesis in the previous item?
H0: P=0.75
H0: P>0.75
H0: P<0.75
Ha: P=0.75
What is the alternative hypothesis?
The proportion of students of the school who passed the NAT this year is not equal to 0.75.
The proportion of students of the school who passed the NAT this year is greater than 0.75.
The proportion of students of the school who passed the NAT this year is less than 0.75.
The proportion of students of the school who passed the NAT this year is equal to 0.75.
How do we right in symbols the hypothesis in the previous item?
H0: P=0.75
Ha: P>0.75
Ha: P<0.75
Ha: P=0.75
What is the appropriate null hypothesis?
The average tuition fee in the targeted university is at most Php20,000.
The average tuition fee in the targeted university is at least Php20,000.
The average tuition fee in the targeted university is less than Php20,000.
The average tuition fee in the targeted university more than Php20,000.
What will be the appropriate alternative hypothesis?
The average tuition fee in the targeted university is less than Php20,000.
The average tuition fee in the targeted university is more than Php20,000.
The average tuition fee in the targeted university is at most Php20,000.
The average tuition fee in the targeted university is at least Php20,000.
What is the level of significance?
5%
0.5%
0.10
0.5
What kind of test will be used?
Alternative Hypothesis
Null Hypothesis
One-Tailed Test
Two-Tailed Test
What is the value of the population standard deviation?
𝜎 = 300
𝜎 = 400
𝜎 = 500
𝜎 = 450
What is the appropriate decision rule?
Reject Ho if the ZC < -1.65. Otherwise, fail to reject the null hypothesis.
Reject Ho if the ZC < -1.56. Otherwise, fail to reject the null hypothesis.
Reject Ho if the ZC < -1.46. Otherwise, fail to reject the null hypothesis.
Reject both null and alternative hypothesis.
What is the value of the computed test statistic?
-5.2
2.0
-2.5
-2.0
