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Question 19 Complete Marked out of 1.00 Use the following information to answer Q19 and Q20: You must decide which of two discrete distributions a random variable X has. We will call the distributions $p_0$ and $p_1$. Here are the probabilities they assign to the values $x$ of X: \begin{tabular}{c|ccccccc} $x$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ $p_0$ & 0.05 & 0.05 & 0.0 & 0.1 & 0.3 & 0.1 & 0.4 \\ $p_1$ & 0.2 & 0.0 & 0.2 & 0.2 & 0.2 & 0.1 & 0.1 \end{tabular} You have a single observation on X and wish to test $H_0$: $p_0$ is correct $H_a$: $p_1$ is correct One possible decision procedure is to reject $H_0$ if $X \ge 6$ and retain $H_0$ otherwise. Find the probability of a Type I error. Select one: a. 0.4 b. 0.3 c. 0.5 d. 0.2 e. 0.6 Question 20 Complete Marked out of 1.00 (This continues Q19) Find the power of the test. Select one: a. 0.2 b. 0.9 c. 0.1 d. 0.6 e. 0.4

          Question 19
Complete
Marked out of
1.00
Use the following information to answer Q19
and Q20:
You must decide which of two discrete
distributions a random variable X has. We will
call the distributions $p_0$ and $p_1$. Here are the
probabilities they assign to the values $x$ of X:
\begin{tabular}{c|ccccccc}
$x$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
$p_0$ & 0.05 & 0.05 & 0.0 & 0.1 & 0.3 & 0.1 & 0.4 \\
$p_1$ & 0.2 & 0.0 & 0.2 & 0.2 & 0.2 & 0.1 & 0.1
\end{tabular}
You have a single observation on X and wish
to test
$H_0$: $p_0$ is correct
$H_a$: $p_1$ is correct
One possible decision procedure is to reject
$H_0$ if $X \ge 6$ and retain $H_0$ otherwise.
Find the probability of a Type I error.
Select one:
a. 0.4
b. 0.3
c. 0.5
d. 0.2
e. 0.6
Question 20
Complete
Marked out of
1.00
(This continues Q19) Find the power of the
test.
Select one:
a. 0.2
b. 0.9
c. 0.1
d. 0.6
e. 0.4

Question 19
Complete
Marked out of
1.00
Use the following information to answer Q19
and Q20:
You must decide which of two discrete
distributions a random variable X has. We will
call the distributions p0 and p1. Here are the
probabilities they assign to the values x of X:

x 0 1 2 3 4 5 6

p0 0.05 0.05 0.0 0.1 0.3 0.1 0.4

p1 0.2 0.0 0.2 0.2 0.2 0.1 0.1

You have a single observation on X and wish
to test
H0: p0 is correct
Ha: p1 is correct
One possible decision procedure is to reject
H0 if X ≥ 6 and retain H0 otherwise.
Find the probability of a Type I error.
Select one:
a. 0.4
b. 0.3
c. 0.5
d. 0.2
e. 0.6
Question 20
Complete
Marked out of
1.00
(This continues Q19) Find the power of the
test.
Select one:
a. 0.2
b. 0.9
c. 0.1
d. 0.6
e. 0.4

Added by Gary A.

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