Question 2

Use the information in nhanes1.sav. You should use SPSS to calculate any sample statistics you will need to do this question, but for parts (b) and (d) you are required to do the rest of the calculations by hand, using a calculator.

According to US health data, 20% of the population never consume milk products. A researcher believes that the proportion of women who never consume milk products is higher than this. [Use variable DBQ197 for this question].

(a) What is the variable of interest to the researcher?

(b) Based on the sample data, is there evidence to support the researcher’s claim that more than 20% of women never consume milk products? To answer this question, complete the following steps:

i. State the appropriate hypotheses (define any symbols used).

ii. Check the conditions and assumptions for this test.

iii. Calculate the test statistic for this test.

v. Calculate the P-value for this test.

v. Interpret the P-value and write a meaningful conclusion in the context of this situation. 

(c) If the researcher wants to be 95% confident that the margin of error of the estimate is within 0.05 of the true proportion of women, what minimum sample size is required? Use a conservative method in determining sample size.

(d) The researcher decides that instead of using a conservative method (as required in part (c)), she will use information from the data provided in nhanes1.sav to decide how many women she would need to survey (keeping the same level of confidence and margin of error). What is the impact of the decision?

Assignment-Data-Set