Binomial Tests - appropriate test for proportions A study was conducted to explore if Kayden Real Estate rent more than 35% of their rental properties to families as set by the government authority. In a random sample of 70 rental properties, only 24% were rented to families. This is less than the target set by the government authority (35%), and a Binomial test shows that the difference is significant, n = 70, p = . 037. The 95% confidence interval indicates that between 14% and 34% of Kayden rental properties are rented to families. Contrary to expectations, less than 35% of Kayden Real Estate properties are rented to families. Describing Distributions - Metric (skewed) The distribution of house prices in a random sample of 542 South Australian houses is displayed in Figure 1. The distribution is positively skewed with 50% of houses priced at $430,000 or less. Typically, house prices were between $390,000 and $550,000, with half of the house prices falling within this range. Two houses had exceptionally high prices of $1,030,000 and $1,050,000. Frequency 400 1000 Describing Distributions - Metric (approx. symmetric) The distribution of time taken to travel to work in a sample of 250 Australian workers is displayed in Figure 1. The distribution is approximately symmetric and the average travel time to work was 20 minutes (s = 5). Typically travel times were between 17 and 24 minutes, with half of the travel times falling within this range. Freque noy 20 25 Time to ta vie to work Paired Samples t-test - comparing pairs of scores It was hypothesised that hypnosis would help smokers reduce the number of cigarettes they smoke. In a sample of 20 smokers, on average, the number of cigarettes smoked in the week after hypnosis was lower ( x = 143.70, s = 46.75) than the number of cigarettes smoked in the week prior to hypnosis ( x = 180.70, s = 64.36). A paired samples t-test shows that this difference in the mean number of cigarettes smoked ( x = 37.00, sa= 27.83) is significant, t(19) = 5.95, p < . 001. The 95% confidence interval indicates that the mean number of cigarettes smoked is between 24 and 50 per week less after hypnosis. As expected, hypnosis reduces the number of cigarettes Interpretation of r2 76.6% of the variation in Pie Sales [DV] can be explained by the linear relationship between Attendance figures [IV] and [DV] Regression 95% Confidence Interval The 95% confidence interval indicates that for each additional year of experience, on average, salary is between $15.41 and $40.70 per week more One Samples t-test - metric A study was conducted to investigate if the age of tourists visiting Katatonia is higher than it was in 1995. In a random sample of 250 tourists in Katatonia, the average age was 44.84 years (s = 9.96 years). While this is lower than the average age of 45 years recorded in 1995, a one- sample t-test shows that this difference in mean