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Semmy [17]
3 years ago
14

According to Professor Zarkov's correlational data, there is a statistically significant relationship between the socioeconomic

level of a family and how much time the parents spend talking to their children. To say that the results of this study are "statistically significant" means that:a. the finding has no mathematical validity.b. the results are unlikely to have occurred by chance.c. there is a cause-and-effect relationship between the two variables.d. the finding can be used to generate new theories.
Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

b. the results are unlikely to have occurred by chance.

Correct when we say significant means that the difference between the hypothetical correlation coefficient of 0 and the real correlation coefficient are large enough to conclude the significant result and not just by chance.

Step-by-step explanation:

When we want to analyze of two variables present significant correlation usually we use the following system of hypothesis:

Null hypothesis: \rho =0

Alternative Hypothesis: \rho \neq 0

And when we conduct the test if we conclude that we have a significant relationship that means, we have enough evidence to conclude that the correlation coefficient is different from 0 at some significance level \alpha. Let's analyze one by one the possible options:

a. the finding has no mathematical validity.

False, we are conducting an hypothesis test, that procedure present validity always.

b. the results are unlikely to have occurred by chance.

Correct when we say significant means that the difference between the hypothetical correlation coefficient of 0 and the real correlation coefficient is large enough to conclude the significant result and is not just by chance.

c. there is a cause-and-effect relationship between the two variables.

False, we can't analyze causal relationships with the correlation coefficient.

d. the finding can be used to generate new theories.

That's False we can't create new theories with this result, we just can conclude that the correlation coeffcient for the population is different from 0, but nothing else.

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\huge\text{Hey there!}

\large\text{We cannot  do much of nothing because we don’t have all the information}\\\large\text{to solve.. so we can just simply do process of elimination until we fully find}\\\large\text{the ANSWER you are trying to look for.}

\large\text{Given equation: 25b - 14b}\\\large\text{COMBINE your LIKE TERMS}\\\large\text{\underline{25b - 14b} = 11b}\\\large\text{So, we are looking for an equation that gives us \bf{11b}}

\large\text{Option A.}\downarrow\\\large\text{b(25 - 14)}\\\large\text{DISTRIBUTE: b(25) + b(-14)}\\\bullet\large\text{ Reverts to: 25b - 14b (our ORIGINAL EQUATION) so this can be}\\\large\text{equal to 11b}\\\\\large\text{Option A. could POSSIBLY  be your ANSWER}

\large\text{Option B. }\downarrow\\\large\text{b(25 + 14)}\\\large\text{Distribute}\\\large\text{25(b) + 14(b)}\\\large\text{It DOES NOT revert to the original equation. It gives us: 25b + 14b}\\\large\text{If we COMBINE your LIKE TERMS in that equation. We would get: 39b}\\\large\bf{39b \neq 11b}\\\\\large\text{Option B is NOT your ANSWER}

\large\text{Options C and D CANNOT be your answers because Option C. is}\\\large\text{-11b and Option D. is -39b}

\boxed{\boxed{\large\text{To sum it all up, your ANSWER is: \bf{Option A. b(25 - 14)}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

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