In: Statistics and Probability
4)
• z-value should be expressed to three decimal places: e.g., z=1.645.
• Before you start each question, you should determine if you are dealing with the population mean or proportion since what you do depends on the type of parameter at hand.
• When handling proportion problems, write/use/plug proportions as decimals (e.g., not 54%, but .54).
• In the beginning, state clearly if you do a 1-tailed or 2-tailed test. State clearly your H0 and H1 using correct Greek letters, mathematical symbols, and subscripts. Do not state your hypotheses in prose form. Express numbers to the three decimal places.
• Use Z test, not t test. Don’t use p-value. Articulate if you reject H0. Justify why you reject or FTR H0.
• After articulating your statistical decision, state clearly your research conclusion in prose form: do NOT use Greek letters, mathematical symbols, or subscripts for the research conclusion. Show all the relevant quantities (e.g., sample statistics, SE, Z-statistic, to name a few) and label them properly: don’t omit anything.
• At the end of your answer, compute and interpret the corresponding CI.
• Write the lower and upper bounds in the CI for μ to the two decimal places: e.g., [11.33, 15.55].
• Write the lower and upper bounds in the CI for π (or P) to the four decimal places: .e.g., [.3012, .3875].
4. In a survey of 50 citizens, 28 respondents register strong disapproval with their government's economic leadership. In the previous month, the proportion of participants registering strong disapproval was 75%. At the 99% confidence level, what is your conclusion?