Question 1
A researcher is interested in whether maternal smoking during pregnancy is a risk factor associated with giving birth to a low birth weight baby (weighing less than 2500 grams).
- Recommend a suitable statistical test to address the research question. Explain why you choose this statistical test. Formulate in statement form the null and alternative hypotheses.
- Using the file sav, analyse the data by performing a suitable test in SPSS/PSPP (remember to show your outputs). Interpret the statistical results and report them using APA format. What can the researcher conclude about the relationship between maternal smoking during pregnancy and giving birth to a low birth weight baby?
Question
A demographer is interested in the relationship between age and income, wondering if people necessarily earn more as they get older. He analysed the demographic data of 100 respondents from a household survey. This data is presented in Q2 and 3_Dataset.sav.
- Recommend a suitable statistical test to determine the relationship between age and income. Explain why you choose this statistical test. Formulate in statement form the null and alternative hypotheses.
- Analyse the data by performing a suitable test in SPSS/PSPP (remember to show your outputs). Interpret the statistical results and report them using APA format.
Question 3
This same demographer is also interested in whether the number of years that individuals worked for their current employer is a predictor of their income. He analysed the same demographic data from Question 2 (Q2 and 3_Dataset.sav).
- Using SPSS/PSPP, recommend (with justification) a suitable test to analyse the collected data and show your outputs. Interpret the statistical results and report your findings in APA format.
- This question has four subparts.
- Derive the regression equation from your SPSS/PSPP outputs.
- Apply the regression equation and calculate the number of years a person is expected to work for his/her current employer in order to earn an annual income of $60,000.
- Apply the regression equation and calculate the expected income of a person after working for 5 years for his/her current employer.
- Apply the regression equation and calculate the expected starting pay (i.e. the expected starting annual income) for someone with no working experience.
Question 4
A food company wanted to test three different package designs for a new product to determine whether package designs would affect sales. The company recorded the sales of the new product in three package designs for five weeks.
- Recommend a suitable statistical test to determine whether there are differences in sales due to the package designs. Explain why you choose this statistical test. Identify the independent and dependent variables in this study and state their levels of measurement.
- Using the file sav, run a suitable test in SPSS/PSPP to analyse the data (remember to show your outputs). Interpret the statistical results and report them using APA format. What can the food company conclude about the effect of package designs on the sales of the new product?
- Examine the results and discuss whether it is necessary to conduct any further analysis. If further analysis is required, recommend a suitable statistical test.
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