A researcher believes that if patients with arthritis go to physical therapy twice a week their pain levels will be lower than usual pain levels. Patients with arthritis usually rate their pain a 3.5 on an 8-point scale. The test was performed at the 10% significance level and the resulting p-value was 0.113

- Identify the null and alternative hypothesis

H0 = If patients with arthritis go to physical therapy twice a week their pain levels will be the same as usual pain levels. (=)HA = A researcher believes that if patients with arthritis go to physical therapy twice a week their pain levels will be lower than usual pain levels. (<)

- State if the results are statistically significant and why

Because the p-value of .113 is greater than the alpha-level of .10, we fail to reject the null hypothesis, so the results are not statistically significant. Nothing changed our initial assumption.

- Conclude the hypothesis test in context

Based on this sample, I am 90% confident (100 - 10%) that if patients go to physical therapy twice a week, their pain levels will not change significantly from usual pain levels.

Figure it out your self

It is 5.8 you add all of the up to equat 180 then solve the equation