Qualitative Data: Creating a Frequency Table Suppose you have the following data for which subjects are the most important to teach in high school? This survey comes from a High school student. The names of 40 subjects were chosen out of a computer program of 400 subjects. Frequency table & relative frequency table Name of the Subjects Frequency Relative frequency Math 12 12/40 = 0.3 History 8 8/40 = 0.2 Biology 6 6/40 = 0.15 Music 5 5/40 = 0.125 Art 5 5/40 = 0.125 4/40 = 0.1 English 4 12 + 4 + 5 + 8 + 6 + 5 = 40 Quantitative Data: Suppose that 400 college students were asked how many courses they were taking this semester. This data comes from all community college students in California. The 40 college students' names were chosen out of a hat to answer this question from 400 students. Frequency table & relative frequency table Number of the Courses Frequency Relative Frequency 4 4 14 14/40 = 0.35 3 11 11/40 = 0.275 2 7 7/40 = 0.175 2 1 1 4 4/40 = 0.1 4 4/40 = 0.1 5 4 + 7 + 11 + 14 + 4= 40 Hypothesis Testing For each of the following, make a claim about the population parameter (proportion or mean), identify the null and alternative hypothesis, identify a significance level (such as 0.01, 0.05, 0.10), find the test statistic and the p-value based on your sample, determine whether or not to reject the null hypothesis and write a conclusion in sentence form about the original claim (which should match the alternative hypothesis). Proportions - Using the "success" from your qualitative data as the sample proportion, make a claim about the population proportion and test the claim. Be sure that you have at least 5 "successes" and 5 "failures." (For example, with my blue cars I have 13 successes and 37 failures. My claim might be that the true proportion of all cars that are blue is different from 20%. Then my null and alternative hypotheses would be: HOp=0.20and H1p#0.20. I can then use x = 13 and n = 50 with the 1-PropZTest on my calculator to find the test statistic and p-value. From there I can determine whether or not to reject the null hypothesis and write a conclusion about whether or not to support the original claim.) - Means - Using the sample mean and standard deviation from your quantitative data, make a claim about the population mean and test the claim. (For example, might claim that the mean number of credit cards that a person owns is less than 3. Then my null and alternative hypotheses would be: H0x=3and H1y