You are conducting a 1-Sample t-test about a µ using a .05 α level. Which is correct?

Can safely carry out test if sample size is at least 30

The value which you use to reject or accept the Null

What is Type II error

When you accept H0 but it is false

What is the Null Hypothesis?

A particular parameter value which is assumed to be true

What does the test statistics equal?

Statistic - Parameter/Standard deviation of Statistic

When you reject H0 but it is true

In SRS ˆp=158/300=.527 P-value=.18 What is correct interpretation of P-value

50%(support tax)18% prob that x bar would be .527≤ by chance

What is the Alternative Hypothesis?

Statement of values where parameter may fall

The result is statistically significant when…

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

Because t conditions are robust, the most important condition their use is

The data can be regarded as an SRS from the population

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

What is the alpha level?

Probability cutoff for rejecting or accepting the Null

Which of the following is Not true about the standard error of a statistic?

Increases as sample size increases

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Testing a Claim

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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 26

Answers

1
You are conducting a 1-Sample t-test about a µ using a .05 α level. Which is correct?
Can carry out test only if population stand dev is known
Should not carry out test if sample is not normal
Can carry out test if no outliers regardless of sample size
Can safely carry out test if sample size is at least 30
2
In the SRS of 50 free throws, the virtual player made 32. Find the p-value
0.0062
0.00016
0.0023
-0.0284
3
What is the p-value?
The value which you use to reject or accept the Null
An SRS of all the data in the test statistic
A measure of standard error and assumptions
The value which determines where the Null is rejected
4
What is Type II error
When the distribution is approximately normal
All of the above
When you reject H0 but it is true
When you accept H0 but it is false
5
Take a sample size of 16 with µ=64 and σ=10. What is the µ of X bar?
µ<font size="2">x</font>=10
µx=64
µx=2.5
µx=32
6
What is the Null Hypothesis?
The value used as a probability cutoff
The value at which the alternative hypothesis is rejected
A particular parameter value which is assumed to be true
Statement of alternative values where the parameter may be
7
What is the most common value of alpha
.01
.05
.5
.1
8
What does the test statistics equal?
Parameter - statistic/ standard deviation of a parameter
Statistic - Parameter/Standard deviation of Statistic
√Parameter - Standard deviation of statistic/Parameter
Statistic - Parameter/ (Standard deviation of statistic)^2
9
Null and alternative hypothesis are statements about:
either population parameters or sample statistics
sample statistics
sample parameters
population parameters
10
Take a sample of 50 students and measure their height. Which is a random variable?
The mean of the population data
Mean of sampling dist. of mean heights for samples of 50
The mean of the sample data
The true mean height of all students from your schoo
11
What is a left tailed hypothesis test?
Ha:µ>µ0
Ha:p<p0
Ha:p>p0
Ha:p≠p0
12
Take a sample size of 16 with µ=64 and σ=10. What is the σ of X bar?
σx=2.5
σx=5
σx=10
σx=0.625
13
What is Type I error
When you reject H0 but it is true
All of the above
When the distribution is approximately normal
When you accept H0 but it is false
14
In SRS ˆp=158/300=.527 P-value=.18 What is correct interpretation of P-value<br><div><br></div>
18% of the city residents support the tax increase
50%(support tax)18% prob that x bar would be .527≤ by chance
18% of residents do not support tax increase
There is an18% chance that the majority support tax increase
15
30% of players might use drugs. 200 random players were tested Of 52, 26% test +. Which is true
The number 26% is a parameter
The number 30% is a parameter
The number 26% is a statistic
The number 30% is a statistic
16
What is the Alternative Hypothesis?
The value at which the Null is rejected
All the above
Statement of a particular parameter value
Statement of values where parameter may fall
17
Which 95% confidence interval leads us to reject H₀:p=.3 at H_a:p≠.3 at 5% significance level?
(0.27,0.31)
None of these
(0.24,0.30)
(0.19,0.27)
18
The result is statistically significant when…
The alternative hypothesis is true
The p-value is less or equal to the significant level
The p-value is larger than the significant level
The null hypothesis is true
19
Because t conditions are robust, the most important condition their use is
The population distribution is exactly Normal
The data can be regarded as an SRS from the population
The population standard deviation is known
There are no outliers in the sample data
20
The z statistic for a test of H₀: p = 0.4 versus H_a: p ≠ 0.4 is z = 2.43. This test is…
Significant at α=.05 but not at α=.01
significant at both α=.05 and α=.01
Not significant at either α=.05 or α=.01
inconclusive because we don't know the value ˆp
21
What is the alpha level?
Probability cutoff for rejecting or accepting the Null
ß + power
A rejection region for the Null hypothesis
1 - power
22
In a test H_o;P=.4 and H_a P≠.4, SRS of 100 gives a test statistics of z=1.28 What is the P-Value
.9
.05
.4
.2
23
What is a right tailed hypothesis test?
Ha:p<p0
Ha:µ≠µ0
Ha:µ>µ0
Ha:p≠p0
24
In SRS of 1000 students. 80% wanted longer time at the school library The standard error is
.8
.013
.16
.64
25
In an SRS of 50 free throws, the vitual player made 32. Calculate the test statistic
0.64
-2.83
-2.27
-0.64
26
Which of the following is Not true about the standard error of a statistic?
Can never be negative
Estimated stand. dev. of sampling distribution for statistic
Increases as sample size increases
Measures avg distance between statistic and pop. parameter

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