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jasenka [17]
2 years ago
8

If the p-value is smaller than the level of significance, what conclusion should we reach?

Mathematics
1 answer:
marshall27 [118]2 years ago
7 0

If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

In this question,

A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).

A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.

Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

Learn more about p-value here

brainly.com/question/15855760

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A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teache
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Answer:

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1  be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

H_{0}: p2=p1

H_{a}: p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

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  • p is the proportion of elementary teachers who were single (\frac{15}{100} =0.15)
  • N is the sample size (180)

Using the numbers, we get

\frac{0.2-0.15}{\sqrt{\frac{0.15*0.85}{180} } } ≈ 1.88

Using z-table, corresponding  P-Value is ≈0.03

Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)

8 0
3 years ago
Janet bought 5 yards of fabric 214-feet wide to make curtains. She used 13 of the fabric to make a long set of curtains and the
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Answer:

the answer is 200 feets left

Step-by-step explanation:

she only has 87 percent of the 5 yards that she bought

8 0
3 years ago
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Answer:

1)

A)

We must use the formula b x h/2  12 x 8/2 = 48    

A=48

B)

We must use the formula 1/2a root c squared - a squared

Solving and substituing will get you 35.78

2)

A)

We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter

B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is  s root 2.

3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:

h x b /2 = 10 x 20/2 = 200/2 = 100

AREA IS 100cm squared

Step-by-step explanation:

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Guy has saved a total of $95. He buys an airplane model kit for $9, and he wants to donate $8 to each of several local animal sh
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Answer:

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Step-by-step explanation:

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The remainder is $6, so he is short of $2 to donate to another shelter. So he can donate to 10 shelters and have $6 remaining.

The first answer chioce is right, $6.

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