A sample of n 600 (x, y) pairs was collected and a test of Ho: = 0 versus Hai 0

Question

A sample of n 600 (x, y) pairs was collected and a test of Ho: = 0 versus Hai 0 was carried out. The resulting P-value was computed to be 0.00036. (a) What conclusion would be appropriate at level of significance 0.001? O Fail to reject Ho. There is evidence that -0. Fail to reject Ho. There is evidence that -0. | O Reject Ho. There is evidence that .. Reject Ho. There is evidence that " 0. (b) Does this small P-value indicate that there is a very strong linear relationship between x and y (a value of that differs considerably from 0)? Explain Yes, a small P-value always indicates a strong linear relationship. o Yes, a small P-value indicates a strong linear relationship in this case because the sample size is also large. O No, a small P-value together with a large sample size means that the relationship may be modest or weak but still statistically significant. O No, a small P-value indicates that there is no statistically significant relationship (c) Now suppose a sample of n = 20,000 (x, y) pairs resulted in r = 0.024. Test Ho: = 0 versus Ha, p # 0 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value

Explanation / Answer

c) here test statistic t=r*((n-2)/(1-r2))1/2 =3.39

and for above test statisitc with (n-2=19998) degree of freedom ; p value =0.001

please reply for any clarification required

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.