SOLUTION: Can you please help thank you 1 If a court acquits every defendant, they will never commit a Type I error. A) True B) False 2 The probability of rejecting a true

Question 185842This question is from textbook
: Can you please help thank you
1 If a court acquits every defendant, they will never commit a Type I error.

A)
True

B)
False
2 The probability of rejecting a true null hypothesis increases as the sample size increases.

A)
True

B)
False

3 For a given level of significance, the critical value of Student's t increases as n increases.

A)
True

B)
False

4 In a two-tailed hypothesis test with α = .05, a test statistic of t = 1.813 with d.f. = 15 leads one to reject the null hypothesis of a statistical test.

A)
True

B)
False

5 The power of a test is the probability that the test will reject a false null hypothesis.

A)
True

B)
False

6 The height of the power curve shows the probability of accepting a true null hypothesis

A)
True

B)
False

7 Which is not true of p-values?

A)
When they are small, we want to reject Ho.

B)
They must be specified before the sample is taken.

C)
They show the chance of Type I error if we reject Ho.

D)
They do not require α to be specified a priori.

Use the following scenario to answer questions 8 to 10.
Dullco Manufacturing claims that its alkaline batteries last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.

8 The test statistic is

A)
-1.980

B)
-1.728

C)
-2.101

D)
-1.960

9 In determining the p-value for reporting the study's findings, which of the following is true?

A)
The p-value is less than .05.

B)
The p-value is equal to .05.

C)
The p-value is greater than .05.

D)
The p-value cannot be determined without specifying α.

10 In a left-tailed test at α = .05 we would

A)
comfortably reject the claim.

B)
comfortably accept the claim.

C)
feel uncomfortable with either decision (too close).

D)
switch to alpha of 0.01 for a more powerful test.
This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1 If a court acquits every defendant, they will never commit a Type I error.
Type I is the probability you reject Ho when it is true.
Ho for court proceedings is "the defendent is innocent"
----
Acquittal means the court accepts Ho. So the answer is True
A)
True
B)
False
---------------------------------------------
2 The probability of rejecting a true null hypothesis increases as the sample size increases.
---
As n increases the test statistic value [z*(s/sqrt(n)] will decrease
increasing the p-value and decreasing the chance of rejecting Ho.
Ans: False
A)
True
B)
False
------------------------------------
3 For a given level of significance, the critical value of Student's t increases as n increases.
--------
The critical value does not depend on the size of "n".
Ans: False
A)
True
B)
False
----------------------------------------
4 In a two-tailed hypothesis test with α = .05, a test statistic of t = 1.813 with d.f. = 15 leads one to reject the null hypothesis of a statistical test.
Ans: False
A)
True
B)
False
------------------------------
5 The power of a test is the probability that the test will reject a false null hypothesis.
Ans: True
A)
True
B)
False
------------------------------------------------
6 The height of the power curve shows the probability of accepting a true null hypothesis
Ans: False
A)
True
B)
False
-----------------------------------
7 Which is not true of p-values?
A)
When they are small, we want to reject Ho.
True
--------------
B)
They must be specified before the sample is taken.
False
---------------------------
C)
They show the chance of Type I error if we reject Ho.
False

D)
They do not require α to be specified a priori.
True
--------------------------------------------
Use the following scenario to answer questions 8 to 10.
Dullco Manufacturing claims that its alkaline batteries last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.
8 The test statistic is
t(37.8) = (37.8-40)/[5.4/sqrt(18)] = -1.7285
A)
-1.980
B)
-1.728
C)
-2.101
D)
-1.960
----------------------------------
9 In determining the p-value for reporting the study's findings, which of the following is true?
Ans: The p-value cannot be determined unless you know whether the
test is two-tail, left, or right. Similarly the rest of the questions
under 9 cannot be answered.
---------------------------------------
A)
The p-value is less than .05.
B)
The p-value is equal to .05.
C)
The p-value is greater than .05.
D)
The p-value cannot be determined without specifying α.
10 In a left-tailed test at α = .05 we would
A)
comfortably reject the claim.
B)
comfortably accept the claim.
C)
feel uncomfortable with either decision (too close).
D)
switch to alpha of 0.01 for a more powerful test.
------------------
Cheers,
Stan H.

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