Question

Question help fifty dash fourfifty-four wild bears were​ anesthetized, and then their weights and chest sizes were measured and listed in a data set. results are shown in the accompanying display. is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest​ sizes

Answer 1

Answer:

Answer: Yes, There is a linear correlation between the weights of the bears and their chest sizes because the absolute value of the test statistics 0.961 exceeds the critical value

Explanation:

Claim: There is a linear correlation between the weights of the bears and their chest sizes

Null hypothesis, H₀ : p=0                (there is no significant correlation)

Alternative hypothesis, H₁ : p ≠0    (there is no significant correlation)

Level of significance, α = 0.05

Decision rule: Reject H₀ if robserved ≥ rcritical

Sample correlation coefficient r = robserved = 0.961

Yes, There is a linear correlation between the weights of the bears and their chest sizes because the absolute value of the test statistics 0.961 exceeds the critical value

Answer 2

It can be inferred that there is a linear correlation between the weights of bears and their chest​ sizes. Therefore, it's logically correct.

From the information given, it should be noted that the null hypothesis states that there's is no significant relationship between the variables.

On the other hand, the alternative hypothesis implies that there's a significant relationship. From the data set, there's a linear correlation between the weights of bears and their chest​ sizes.

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