Answer Happy

On May 25, 2010, LiveScience published an article titled "Simple Memory Test Predicts Intelligence. The article summarized a study that found that the score on a test of working memory capacity was correlated with a number of different measures of intelligence. One measure was cognitive functioning score. Suppose that one such linear regression for working memory capacity and cognitive functioning score from a sample of 14 people is 9-6.3+27.4x, where y is the cognitive functioning score and x is the working memory score. (a) In a hypothesis test for the slope of the linear regression, which of the following would be the correct alternative hypothesis? OH <27A OH, B-0 OH 827,4 ON O (b) Given the standard error of the slope, 5.6, calculate the test statistic. (Round your answer to four decimal places.) (c) Calculate the P-value and determine which conclusion is correct for the hypothesis test based on a-0.05. (Use technology) We would reject the null hypothesis. There is insufficient evidence of a linear relationship between working memory capacity and cognitive functioning score. We would fail to reject the null hypothesis. There is insufficient evidence of a linear relationship between working memory capacity and cognitive functioning score. O We would reject the null hypothesis. There is sufficient evidence of a linear relationship between working memory capacity and cognitive functioning score. Owe would fail to reject the null hypothesis. There is sufficient evidence of a linear relationship between working memory capacity and cognitive functioning score.