Question

   In 2017, a random sample of 1000 consumers showed that 435 of them had shopped at a small business on Black Friday.  In 2019, a random sample of a different 1000 consumers showed 380 of them had shopped at a small business on Black Friday.  Test to see if the proportion of all consumers who shopped at a small business on Black Friday in 2017 is more than the proportion in 2019.

(a) Is the data categorical or quantitative?

(b)   How many groups/samples of data were collected?    (For example,   if there is a sample for men and a sample for women,   that would be two groups or samples of data)

(c) If the data is  categorical, then how many possible answers are there? If the data is  quantitative, then can it be matched?  If so, for the same what?

(d)  How can I visualize the data (what is the appropriate way to graph the data)?
(e)   What type of test would you do?     (Choose from:  one proportion,  two proportions,  chi-square goodness of fit,  chi-square test for independence,  one mean,  paired means,  independent means,  ANOVA with independent samples,   ANOVA with blocked samples  )
(f)   Write the null and alternative hypotheses.  (Do not perform the test)

I got:

a) Quantitative

b) 2 -A sample for consumers in 2017 and a sample for consumers in 2019

c)  Quatitative- yes. Matched on shopping at a small business on black friday.

d) Box Plot

e) Paired means- Paired sample T-Test

f) H0: μ17 ≤  μ19

Ha: μ17 > μ19

Answer 1

A. The Data is Quantitative.

Since the data is numeric and no characteristics or grouping involved

B. Two sample were collected based on time period i.e. Sample of Consumers shopping at a small business on a black friday in 2017 and Sample of Consumers shopping at a small business on a black friday in 2019

C. Since the data is quantitative it can be matched for the same characteristic - shopping at a small business on a black friday and same sample size of 1000.

D. Boxplot

Since it will get easier to visualize the spread or dispersion of the shoppers

E. We will use Two Proportions test to test whether the proportion of shoppers in 2017 is more than in 2019

F. Ho: P1 = P2 , where P1 and P2 are Population Proportions for shoppers in 2017 and 2019 respectively

Ha: P1 > P2