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Luden [163]
3 years ago
5

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th

e sample consists of 25 observations and the correlation coefficient is 0.60, then what is the computed value of the test statistic?
Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

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nikklg [1K]

Answer:

z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8  

p_v =2*P(z  

Step-by-step explanation:

Information given

n=564 represent the sample selected

X=51 represent the number of people who rated the overall services as poor

\hat p=\frac{51}{564}=0.0904 estimated proportion of people who rated the overall services as poor  

p_o=0.1 is the value to compare

z would represent the statistic

Hypothsis to analyze

We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

The statistic for a one z test for a proportion is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8  

And the p value since we have a bilateral test is given b:

p_v =2*P(z  

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3 years ago
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Answer: Idk but i really need the points :(

Step-by-step explanation:

8 0
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babunello [35]

Answer:

A) -14 + 2n > 18

Step-by-step explanation:

inequality represents that - 14 more than twice a number is no less than 18.

<h3>Hope it is helpful...</h3>
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3 years ago
A/ab-bsquare + b/ab-asquare?​
lord [1]

Answer:

\dfrac{(a+b)}{ab}

Step-by-step explanation:

The given expression is :

\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}

It can be solved as follows :

\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}=\dfrac{a}{b(a-b)}+\dfrac{b}{a(b-a)}\\\\=\dfrac{a}{b(a-b)}+\dfrac{b}{-a(-b+a)}\\\\=\dfrac{1}{a-b}(\dfrac{a}{b}-\dfrac{b}{a})\\\\=\dfrac{a^2-b^2}{ab(a-b)}\\\\=\dfrac{(a-b)(a+b)}{ab(a-b)}\\\\=\dfrac{(a+b)}{ab}

So, the solution of the given expression is equal to \dfrac{(a+b)}{ab}.

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Answer:

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Step-by-step explanation:

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