Consider the data. x 2 9. 13 20 Y 5 19 25 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) 6.555 1x (b) Test for a significant relationship by using the t test. Use a 0.05. State the null and alternative hypotheses. O Ho: , - 0 H 0 OHo: P20 Ho: P < 0 O Ho: Po 0 H: Po - 0 O Ho: Po-0 H: Po 0 O Ho: P 0 H: -0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho. We conclude that the relationship between x and y is significant. Use the F test to test for a significant relationship. Use a 0.05. State the null and alternative hypotheses. O Ho: Po * 0 Ha: Po = 0 O Ho: P - 0 Ha: P 0 O Ho: Po-0 H: Po0 O Ho: B 20 H: P <0 O Ho: P +0 H P = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Reject Ho: We conclude that the relationship between and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.