In this problem, we use your critical values table to explorethe significance of r based on different sample sizes. (a) Is asample correlation coefficient ? = 0.82 significant at the ? = 0.01level based on a sample size of n = 3 data pairs? What about n = 14data pairs? (Select all that apply.) No, because the absolute valueof the given correlation coefficient is smaller than that for asample size of n = 14 and ? = 0.01. No, because the absolute valueof the given correlation coefficient is greater than or equal tothat for a sample size of n = 3 and ? = 0.01. Yes, because theabsolute value of the given correlation coefficient is greater thanor equal to that for a sample size of n = 3 and ? = 0.01. Yes,because the absolute value of the given correlation coefficient issmaller than that for a sample size of n = 3 and ? = 0.01. Yes,because the absolute value of the given correlation coefficient issmaller than that for a sample size of n = 14 and ? = 0.01. No,because the absolute value of the given correlation coefficient issmaller than that for a sample size of n = 3 and ? = 0.01. Yes,because the absolute value of the given correlation coefficient isgreater than or equal to that for a sample size of n = 14 and ? =0.01. No, because the absolute value of the given correlationcoefficient is greater than or equal to that for a sample size of n= 14 and ? = 0.01. Incorrect: Your answer is incorrect. (b) Is asample correlation coefficient ? = 0.42 significant at the ? = 0.05level based on a sample size of n = 18 data pairs? What about n =26 data pairs? (Select all that apply.) Yes, because the absolutevalue of the given correlation coefficient is greater than or equalto that for a sample size of n = 26 and ? = 0.05. No, because theabsolute value of the given correlation coefficient is smaller thanthat for a sample size of n = 18 and ? = 0.05. Yes, because theabsolute value of the given correlation coefficient is smaller thanthat for a sample size of n = 18 and ? = 0.05. Yes, because theabsolute value of the given correlation coefficient is smaller thanthat for a sample size of n = 26 and ? = 0.05. No, because theabsolute value of the given correlation coefficient is greater thanor equal to that for a sample size of n = 26 and ? = 0.05. Yes,because the absolute value of the given correlation coefficient isgreater than or equal to that for a sample size of n = 18 and ? =0.05. No, because the absolute value of the given correlationcoefficient is greater than or equal to that for a sample size of n= 18 and ? = 0.05. No, because the absolute value of the givencorrelation coefficient is smaller than that for a sample size of n= 26 and ? = 0.05. Incorrect: Your answer is incorrect. (c) Is ittrue that in order to be significant, a ? value must be larger than0.90? larger than 0.70? larger than 0.50? What does sample sizehave to do with the significance of ?? Explain your answer. No, alarger sample size means that a smaller absolute value of thecorrelation coefficient might be significant. No, sample size hasno bearing on whether or not the correlation coefficient might besignificant. Yes, a larger correlation coefficient of 0.70 meansthat the data will be significant. Yes, a larger correlationcoefficient of 0.90 means that the data will be significant. Yes, alarger correlation coefficient of 0.50 means that the data will besignificant.