State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test the following statements.
(a) The linear correlation coefficient is positive.
Ho: ñ ---Select--- not equal to equal to greater than less than 0
Ha: ñ ---Select--- not equal to equal to greater than less than 0
(b) There is no linear correlation.
Ho: ñ ---Select--- not equal to equal to greater than less than 0
Ha: ñ ---Select--- not equal to equal to greater than less than 0
(c) There is evidence of negative correlation.
Ho: ñ ---Select--- not equal to equal to greater than less than 0
Ha: ñ ---Select--- not equal to equal to greater than less than 0
(d) There is a positive linear relationship.
Ho: ñ ---Select--- not equal to equal to greater than less than 0
Ha: ñ ---Select--- not equal to equal to greater than less than 0
2x+4 greater then equal to 12
3/2x-12=18
(a) The linear correlation coefficient is positive.
Ho: ñ = 0
Ha: ñ > 0
To test this statement, we can use a hypothesis test for the correlation coefficient. The null hypothesis, Ho, would state that the true correlation coefficient, ñ, is equal to zero. The alternative hypothesis, Ha, would state that the true correlation coefficient is greater than zero, indicating a positive linear correlation.
(b) There is no linear correlation.
Ho: ñ = 0
Ha: ñ ≠ 0
To test this statement, we can again use a hypothesis test for the correlation coefficient. The null hypothesis, Ho, would state that the true correlation coefficient, ñ, is equal to zero, indicating no linear correlation. The alternative hypothesis, Ha, would state that the true correlation coefficient is not equal to zero, suggesting the presence of a linear correlation.
(c) There is evidence of negative correlation.
Ho: ñ = 0
Ha: ñ < 0
To test this statement, we can once again use a hypothesis test for the correlation coefficient. The null hypothesis, Ho, would state that the true correlation coefficient, ñ, is equal to zero. The alternative hypothesis, Ha, would state that the true correlation coefficient is less than zero, indicating a negative linear correlation.
(d) There is a positive linear relationship.
Ho: ñ = 0
Ha: ñ > 0
To test this statement, we can use a hypothesis test for the correlation coefficient. The null hypothesis, Ho, would state that the true correlation coefficient, ñ, is equal to zero, indicating no linear relationship. The alternative hypothesis, Ha, would state that the true correlation coefficient is greater than zero, suggesting the presence of a positive linear relationship.