In a clinical trial, a pain treatment was studied against a placebo. The treatment group had 26 patients, and their mean reduction in pain was 0.53 with a standard deviation of 0.63. The placebo group...

In a clinical trial, a pain treatment was studied against a placebo. The treatment group had 26 patients, and their mean reduction in pain was 0.53 with a standard deviation of 0.63. The placebo group had 26 patients l, and their mean reduction in pain was 0.45 with a standard deviation of 1.17. Use a 5% significance level to test the claim that the treatment had a greater reduction in pain than the placebo.
please show the solving steps for the following.
find the null and alternative hypothesis, the test statistic, the p-value, and the conclusion and interpretation.