You may need to use the appropriate technology to answer this question. Consider the data. X 2 6 9 13 20 Y, 9 16 8 28 25 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. OHo: Po-0 O Ho: P 0 H P0 O Ho: Po0 O Ho: P 0 HP-0 O Mo: P20 H: <0 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 Reject Ho. We conclude that the relationship between x and y is significant. Relect Ha 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. Reject Ho. We cannot conclude that the relationship between x and y is significant. Do not reject H We conclude that the relationship between x and y is significant. O Do not reject H. We cannot 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: P0 H: P 0 O Ho: P20 H: P, < 0 O Ho: Po 0 H: Po 0 OHo: Po-0 H Po0 O Ho: B-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 cannot 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. O Do not reject Ho We conclude that the relationship between x and y is significant.