What is thep-value? --Researcher Jessie is studying how the fear of going to the dentist affects an adult's actual number of visits to the dentist. 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 higher than the average number of visits for those who don't have that fear (Group 2), that is, test H₀:₁=₂versus H_a:₁>₂, 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.

1) Jessie has asked you to provide a complete sketch of thep-value that she can include in her report. You can use the shiny app in R which will give the exactp-value or make a complete sketch by hand and provide the bounds for thep-value using the T table.

2) Jessie also remembers some condition about a normal model required for her two populations of responses. She asks you to check this condition for her. You recall that a QQ plot helps to assess if a population of responses can be considered normally distributed. How many QQ plots do you need to make in this case?

None, since the total sample size of 45 adults is large you can just use the CLT.

One, for the 45 responses (number of visits) reported by the 45 adults that were surveyed.

Two, one for the 14 responses (number of visits) by the adults who fear going to the dentist and one for the 31 responses (number of visits) by the adults who do not fear going to the dentist.