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tino4ka555 [31]
3 years ago
9

What are the hypotheses for testing to see if a correlation is statistically significant?

Mathematics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

Step-by-step explanation:

For testing of significance of correlation coefficient denoted by r, we create hypotheses in three ways

They are one tailed, two tailed.  One tailed can be stated as right tailed and also left tailed.

The null hypothesis would normally be as r=0

Verbally we can say this there is no association between the dependent and independent variable (linear)

Against this alternate hypothesis is created as

either r not equal to 0

or r>0 or r<0

If r not equal to 0, we say two tailed hypothesis test

If r>0 is alternate hypothesis, it is right tailed test

If r<0 is alternate hypothesis, then it is left tailed test.

You might be interested in
Which quadratic equation has solutions x=8 and x=−1?
andrezito [222]
There are two ways you can do this

Using the formula


{x}^{2}  - (sum \: of \: roots)x + poduct \: of \: roots = 0

{x}^{2}  - (8+-1)x +  - 1 \times 8 = 0


{x}^{2}  - 7x  - 8 = 0


Working backwards


x = 8 \: or \: x =  - 1
\Rightarrow x-8=0  \: or  \: x+1=0

\Rightarrow (x-8)(x + 1)=0
\Rightarrow  {x}^{2}   + x -8x - 8 = 0
\Rightarrow  {x}^{2}  - 7x - 8 = 0
7 0
4 years ago
Find a and k so that the given points lie on the parabola (An algebraic solution is required)
Aleks [24]

For the given points to lie on the parabola,

a = -3 and k = 10.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).

According to the question,

Equation of parabola : y = a(x-2)^{2} + k

Points A(1,7) and B(4,-2)

For the points to lie on the parabola,

7 = a(1-2)^{2}+k

7 = a + k

Similarly,

-2 = a(4-2)^{2} + k

-2 = 4a + k

On solving the two equations simultaneously, we get,

a = -3

k = 10

Learn more about parabolas here:

brainly.com/question/4061870

#SPJ1

4 0
2 years ago
Read 2 more answers
I need help on this question
Alex_Xolod [135]
Angle 4 I think :] :/
8 0
3 years ago
Based on a​ poll, 60​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is
skad [1K]

Answer:

The probability that at least one of them is careful about personal information is 0.9744.

If the survey subjects volunteered to​ respond, then this a voluntary sampling and the estimated probability p may be biased, as only the people interested in the topic participate.

Given the subject of the survey, it is estimated that the ones who answered the survey are more careful about personal information and then the propability p is biased to a higher level than it should be if the sample was random.

Step-by-step explanation:

We can model this with a random variable, with sample size n=4 and probability of success p=0.6.

The probability that k individuals are more careful about personal information when using a public​ Wi-Fi hotspot in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{4}{k}\cdot0.6^k\cdot0.4^{4-k}

We have to calculate the probability that 1 or more are more careful about personal information when using a public​ Wi-Fi hotspot. This can be calculated as:

P(x\geq1)=1-P(x=0)\\\\\\P(x=0)=\dbinom{4}{0}\cdot0.6^{0}\cdot0.4^{4}=1\cdot1\cdot0.0256=0.0256\\\\\\P(x\geq1)=1-0.0256=0.9744

The probability that 1 or more individuals in the sample are more careful about personal information when using a public​ Wi-Fi hotspot is 0.9744.

6 0
4 years ago
What is the solution to the system of equations
Afina-wow [57]

Answer:

(6,-1)

Where the two liner lines intersect

3 0
3 years ago
Read 2 more answers
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