Question

We suspect that people who rely entirely on cell phones will as a group be younger than those who have a landline telephone. Do data confirm this guess? The Pew Research Center interviewed separate random samples of cell-only and landline telephone users and broke down the samples by age group

	LANDLINE SAMPLE	CELL-ONLY SAMPLE
Age 18-29	383	342
Age 30-49	349	1252
Age 50-64	141	1615
Age 65 or older	45	1474
Total	918	4683

(a) Should you use a chi-square test of independence or homogeneity? (pick one)

(b) Carry out a chi-square test. Test H0:H0: the distribution of age groups is the same for landline and cell-only individuals versus Ha:Ha: the distributions are different. Use α=0.01α=0.01.

χ2=

P=

pick one:

There is no evidence of an association between age group and the type of telephone

There is evidence of an association between age group and the type of telephone

Answer 1

The statistical software output for this problem is:

Hence,

a) Independence

b) = 1026.0275

P = 0

There is evidence of an association between age group and the type of telephone