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Annette [7]
4 years ago
7

A prisoner on trial for a felony is presumed innocent until proven guilty. (That is, innocent is the null hypothesis.) Which of

the following represents the risk involved in making a Type II error?
a. The prisoner is actually guilty and the jury sends him to jail.

b. The prisoner is actually innocent and the jury sends him to jail.

c. The prisoner is actually innocent and the jury sets him free.

d. The prisoner is actually guilty and the jury sets him free.

e. The prisoner is sent to jail.
Mathematics
1 answer:
netineya [11]4 years ago
4 0

Answer:

Option D) The prisoner is actually guilty and the jury sets him free.

Step-by-step explanation:

We are given the following in the question:

Null Hypothesis:

The null hypothesis states that the prisoner is innocent

Alternate Hypothesis:

The alternate hypothesis states that the prisoner is guilty and not innocent.

Type II error:

It is the type error made when we fail to reject the ll hypothesis when it is actually false.

That is we accept a false null hypothesis.

Thus a type II error in the above scenario will be to accept that the prisoner is innocent (accepting the null hypothesis) when actually he is guilty( the alternate hypothesis)

Thus, type II error would be setting free a guilty prisoner.

Option D) The prisoner is actually guilty and the jury sets him free.

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A coin is tossed twice. Let H represents heads, T represents tails, and the combination of the two letters represent the outcome
denis23 [38]

Answer:

{HH, HT, TH, TT}

Step-by-step explanation:

The set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

In the first toss the coin may land Heads. In the second toss the coin may land Heads or Tails. This can be represented as;

HH, HT

Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.

In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;

TH, TT

Tails in the first toss followed by a Head in the second toss. Tails in the first and second tosses.

Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

4 0
4 years ago
In Kim’s homeroom, 4 students have no siblings, 9 students have
Papessa [141]
(9+8+2)/(4+9+8+2)=19/23=82%
Therefore very likely
5 0
3 years ago
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The axis of symmetry for the function f(x)=-2x^2+4x+1 is the line x=1 where it's the vertex of the function located
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Vertex has the coordinate (1;3)

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Answer:

Square Root of 162 ~ 12.727

Step-by-step explanation:

Simply do the Pythagorean Theorem!

a^2 + b^2 = c^2

This case we're solving for the long side which is the hypothenuse.

9^2+9^2= c^

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Which is 12.727

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2 years ago
Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va
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Answer:

2

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2(\frac{x+1}{a}) - 1 = \frac{(2x-1)+1}{a}

If you multiply both sides by <em>a</em>, you get   2<em>a</em>(\frac{x+1}{a}) - a = (2x-1)+1

Simplify it                                                   2<em>a</em>(\frac{x+1}{a}) - <em>a</em> = 2x

Add <em>a</em> to both sides                                    2<em>a</em>(\frac{x+1}{a})  = 2x +<em>a</em>

The two <em>a</em>s on the left cancel out                   2(x+1)=2x+<em>a</em>

Distribute the 2                                               2x+2=2x+<em>a</em>

Then subtract 2x from both sides                        2 = <em>a</em>

Therefore, <em>a</em> = 2

Hope this helps!

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3 years ago
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