What is the Null Hypothesis?

A particular parameter value which is assumed to be true

When you reject H0 but it is true

What is Type II error

When you accept H0 but it is false

The value which you use to Reject or Fail to Reject the Null

Which are true about p-values?

they are based on the t- and z-distributions, they are compared with α to make decisions, they affect the decision to reject the null

The z statistic for a test of H0: p = 0.4 versus Ha: p ≠ 0.4 is z = 2.43. This test is…

Significant at α=.05 but not at α=.01

When would a t-distribution be used as opposed to a z-distribution?

z requires that δ (sigma) is known

What is the α level?

Probability cutoff for rejecting or accepting the Null

The result is statistically significant when…

The p-value is less or equal to the significance level

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Duplicate of Hypothesis Testing Review

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This is a test consisting of questions regarding the topic of hypothesis tests in the curriculum of AP Statistics.

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Questions 16

Answers

1
The test statistic of a z test is 1.5. What is the p-value of the 2-sided test?
0.13
-0.07
0.07
0.87
2
What is a right tailed hypothesis test?
Ha:p<p0
Ha:p≠p0
Ha:µ≠µ0
Ha:µ>µ0
3
What is the Null Hypothesis?
The value at which the alternative hypothesis is rejected
Statement of alternative values where the parameter may be
A particular parameter value which is assumed to be true
The value used as a probability cutoff
4
In a test H_o;P=.4 and H_a P≠.4, SRS of 100 gives a test statistic of z=1.28 What is the P-Value
0.4
0.9
0.2
.05
5
What is Type I error
When you accept H0 but it is false
When you reject H0 but it is true
When the distribution is approximately normal
All of the above
6
What is Type II error
When you accept H0 but it is false
When you reject H0 but it is true
When the distribution is approximately normal
All of the above
7
30% of players might use drugs. 200 random players were tested and 26% test +. Which is true?
The number 26% is a statistic
The number 30% is a statistic
The number 30% is a parameter
The number 26% is a parameter
8
What is the p-value?
An SRS of all the data in the test statistic
The population proportion
A measure of standard error and assumptions
The value which you use to Reject or Fail to Reject the Null
9
What is a left tailed hypothesis test?
Ha:µ>µ0
Ha:p<p0
Ha:p>p0
Ha:p≠p0
10
Which are true about p-values?
they are based on the t- and z-distributions
they are compared with α to make decisions
they affect the power of a test
they affect the decision to reject the null
11
The z statistic for a test of H₀: p = 0.4 versus H_a: p ≠ 0.4 is z = 2.43. This test is…
inconclusive because we don't know the value ˆp
significant at both α=.05 and α=.01
Not significant at either α=.05 or α=.01
Significant at α=.05 but not at α=.01
12
When would a t-distribution be used as opposed to a z-distribution?
z can be used only for large samples
z can be used only for Confidence Intervals
z requires that δ (sigma) is known
z requires a SRS
13
What is the α level?
ß + power
A rejection region for the Null hypothesis
1 - power
Probability cutoff for rejecting or accepting the Null
14
The result is statistically significant when…
The p-value is less or equal to the significance level
The alternative hypothesis is true
The null hypothesis is true
The p-value is larger than the significance level
15
Null and alternative hypothesis are statements about:
sample parameters
either population parameters or sample statistics
population parameters
sample statistics
16
Ho: p=.5, Ha: p>.5. SRS of 50 found the sample statistic of 64%. Calculate the test statistic.
0.024
1.98
0.14
-1.98

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