Researcher Jessie is studying how the fear of going to the dentist affects the actual number of visits made to the dentist for adults. She asks a random sample of adults whether or not they fear going to the dentist and also how many times they have gone in the past 10 years. She would like to assess if the average number of visits made by adults who fear going to the dentist (Group 1) is lower than the average number of visits for those who don't have that fear (Group 2), that is, test H0: μ1 = μ2 versus Ha: μ1 < μ2, using a 10% significance level. Her random sample of adults resulted in 14 stating they feared going to the dentist and 31 stated they did not fear going to the dentist. The first sample mean was 1.71 pooled standard errors above the second sample mean.
She has asked you to provide a complete sketch of the p-value that she can include in her report. Calculate the degrees of freedom and test-statistic value.