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Pavel [41]
3 years ago
12

Suppose a researcher is testing someone to see if he or she can tell Soda X from Soda​ Y, and the researcher is using 28 ​trials

, half with Soda X and half with Soda Y. The null hypothesis is that the person is guessing. The alternative is​ one-sided, Upper H Subscript a​: p 0greater than0.5. The person gets 17 right out of 28. The​ p-value comes out to be 0.129. Explain the meaning of the​ p-value.
Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0

Answer:

The probability that a person will get 17 or more​ right, if the person is truly​ guessing, is about 12.9%.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

Step-by-step explanation:

The system of hypothesis fo this case are:

Null hypothesis: p\leq 0.5

Alternative hypothesis: p >0.5

That's a upper right tailed test.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

And this value allows to reject or not the null hypothesis.

If p_v we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

If p_v>\alpha then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

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Mathematically verify the outlier(s) in the data set using the 1.5 rule.
statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0
3 years ago
257/5000 In an envelope there are 20 ballots, 8 have drawn a car the rest are white. Find the probability to extract at least on
Gwar [14]

Answer:

Step-by-step explanation:

There are 20 ballots, 8 have drawn a car the rest are white.

Find the probability to extract at least one ballot with the drawing of a car if not replaced:

1. If a ballot is taken out:

8 have drawn a car: thus we have 8/20 = 2/5

2. If two ballots are removed, probability of extracting 1 ballot with drawing of car is 8/20 leaving 7 out of 19 remaining. The 7/19 is the probability of drawing out a second ballot with the drawing of a car. Thus we have

8/20 * 7/19 = 56/380 = 14/95

3. If three ballots are removed, probability of extracting 1 ballot with drawing of car is 8/20 leaving 7 out of 19 remaining. The 7/19 is the probability of drawing out a second ballot with the drawing of a car leaving 6 out of 18 remaining. The 6/18 is the probability of drawing out a third ballot with the drawing of a car.

8/20 * 7/19 * 6/18 = 42/855

5 0
3 years ago
PLEASE HELP!!! i’m taking a test rn and i don’t remember learning this!!!!
nignag [31]

Answer:

Rectangle

Step-by-step explanation:

3 0
2 years ago
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Sholpan [36]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Two cities are 150 miles apart. The map that Eric is reading has a scale of 2 inches = 25 miles. How far apart are the two citie
sasho [114]

Answer:

12 inches

Step-by-step explanation:

2 inches = 25 miles

25 * 6 = 150 miles

6 0
3 years ago
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