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Duplicate of Hypothesis Testing Flashcards | StudBud
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Duplicate of Hypothesis Testing
Duplicate of Hypothesis Testing
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1
State the null and alternative hypotheses.
H0 : μ ≠ 42, H1 : μ = 42
H0 : μ = 42, H1 : μ < 42
H0 : μ = 42, H1 : μ ≠ 42
H0 : μ = 42, H1 : μ < 42
2
Calculate the p-value
p=.064
p=.3
p=.032
p=.36
3
How can you know if the results of the study are statistically significant (has convincing evidence)?
when the sample size is large
when the effect size if large
when p-value < alpha
when p-value > alpha
4
Interpret the p-value
If Ha is true there's .05% chance getting the sample result or more extreme
The true proportion of people who return the product is .05%.
p-hat ≠ 0.05
If H0 is true there's .05% chance getting the sample result or more extreme
5
Calculate the p-value
p=.946
p=.9861
p=.054
p=.0139
6
Describe a type 2 error in context
deciding the new med works better when it really doesn't.
deciding the old med works better when it doesn't
deciding the new med works better when it does
not deciding the new med works better when it does
7
Assuming Ho is true, the probability of observing a statistic as extreme or more by chance is..
Chance variation in our results
Interpreting a p-value
why we do Hypothesis tests
Evidence supporting Ho
8
Interpret the p-value in the context of this problem
b
idk
c
a
9
since the p-value > alpha we can...
fail to reject the Ho & cannot conclude there is adv/disadv
fail to reject the Ho and conclude going second is best
reject the Ho and can conclude there is an adv/disadv to 1st
fail to reject the Ho and can conclude p=1/12
10
Define the parameter of interest
the true mean reduction in blood presure
ẋ= the true mean reduction in blood presure
μ=the true mean reduction in blood presure
μ=the true average blood pressure
11
If α = 0.03 and you obtain a p-value of 0.02, you would....
Fail to reject Ho because that Ho is true.
Reject Ho in favor of Ho
Reject Ho in favor of Ha
Fail to reject Ho and conclude Ha
12
Run a hypothesis test for this problem. Find the z-test value and proper conclusion.
z = -2.08, Reject H0
z = -2.08, Fail to Reject H0
z = -4.58, Reject H0
z = -4.58, Fail to Reject H0
13
Describe the power of the test in the context of the problem. So it is the probability of....
...deciding the new med works better when it doesn't
... not deciding the new med works better when it doesn't
...not deciding the new med works better when it does
...deciding the new med works better when it really does
14
State the Hypothesis
Ho: μ = 20 Ha: μ > 20
Ho: xbar = 20 Ha: xbar ≠ 20
Ho: μ =20 Ha: μ ≠ 20
Ho: μ= 20 Ha: μ < 20
15
If H
0
is true and the statistician chose not to reject the null hypothesis, what has occurred?
Correct Decision
Type II Error
Type I Error
16
alternative: μ> 5; sample mean = 5.26. p = 0.065. Interpret p-value.
probability that the alternative hypothesis is true is 6.5%
6.5% probability of getting ≥ 5 given null is true
6.5% probability of getting ≥ 5.26 given null is true
probability that the null hypothesis is true is 6.5%
17
We use a t-distribution instead of a z-distribution when.....
testing a claim about μ
testing a claim about proportions
sample mean is unknown
Low sample size
18
If H
0
is true and the statistician chose to reject the null hypothesis, what has occurred?
Type I Error
Correct Decision
Type II Error
19
If a 1-sided test has p-value=0.04, what is the p-value of a two-sided test for the same data?
0.08
0.16
0.04
0.02
20
State the null and alternative hypotheses.
H0 : μ ≠ 172, H1 : μ <172
H0 : μ > 172, H1 : μ < 172
H0 : μ = 172, H1 : μ >172
H0 : μ = 172, H1 : μ ≠ 172
21
What is the normality condition?
Sample is <10% assuming >6000 AI fans
large enough sample as np=50>10 and nq=550>10
it was not normal, proceed with caution
large enough sample as np>10 and nq>10
22
Describe a type 1 error in context
not deciding the new med works better when it does
deciding the new med works better when it does
deciding the old med works better when it doesn't
deciding the new med works better when it really doesn't.
23
A Type II error occurs when....
Failing to Reject Ho when Ho is false
Rejecting Ho when Ho is true
Reject Ho when Ho is false
Failing to Reject Ho when Ho is true
24
For a one sample t test, the test statistic for n = 42, Sx = 2.4, μ=16 & x-bar = 18 would be...
d
b
c
a
25
A Type I error would occur when....
Rejecting Ho when Ho is false
Rejecting Ho when Ho is true
Failing to Reject Ho when Ho is false
Failing to Reject Ho when Ho is true
26
List the hypothesis
Ho: p = 1/12 Ha: p ≠ 1/12
Ho: p= 1/12 Ha: p > 1/12
Ho: phat = 1/12 Ha: phat > 1/12
Ho: phat = 1/12 Ha: phat ≠ 1/12
27
Calculate the test statistics
z=5.46
z=1.73
z=-5.46
z=-1.73
28
Set up the hypotheses: The mean on a certain test should be 70, but students did not study...
b
c
a
d
29
If p=.45, p-hat= .42 and n = 200, which of the following is the correct z-statistic?
d
c
a
b
30
what type of test
2 sample z test for proportions
1Proportion z test
1 sample z test for means
1 sample t test for means
31
State the null and alternative hypotheses.
H0 : μ = 850, H1 : μ ≠ 850
H0 : μ = 850, H1 : μ > 850
H0 : μ ≠ 850, H1 : μ = 850
H0 : μ = 850, H1 : μ =1000
32
State the null and alternative hypotheses.
H0 : μ = 240, H1 : μ > 240
H0 : μ = 240, H1 : μ < 240
H0: μ = 240, H1: μ = 220
H0 : μ < 240, H1 : μ = 240
33
If H
0
is false and the statistician chose not to reject the null hypothesis, what has occurred?
Type I Error
Correct Decision
Type II Error
34
What is phat?
.066
1/12
40/600
.083