Question

The following table displays the results from a Harris Interactive Poll of 2276 randomly selected adults in the United States. The responses are separated by the individual’s generation (age group).

Generation

Do you feel that self- Millennials | Generation X | Baby Boomers | Matures

driving vehicles are Yes | 167    | 210    | 262 | 141

the future of driving?     No | 311 | 427   | 443      | 315

Is a person’s feeling regarding self-driving vehicles being the future of driving independent of their generation (age group) at the 0.05 level of significance?

Answer 1

we have to test that

a person’s feeling regarding self-driving vehicles being the future of driving independent of their generation

that is

H0: a person’s feeling regarding self-driving vehicles being the future of driving independent of their generation

Ha: a person’s feeling regarding self-driving vehicles being the future of driving dependent of their generation

we have observed values as given below

	Millenials	generation X	baby boomers	matures	total
Yes	167	210	262	141	780
No	311	427	443	315	1496
total	478	637	705	456	2276

we have N=2276

for testing we need expected frequency for each cell which is given as given below

expected frequency for cell (i,j) is given by i=1,2 j=1,2,3,4

i=1,2 j=1,2,3,4

now expected frequency table is given by

	Millenials	generation X	baby boomers	matures	total
Yes	163.8137	218.304	241.6081	156.2742	780
No	314.1863	418.696	463.3919	299.7258	1496
total	478	637	705	456	2276

now test statistics is given by

where O for observed E for expected

DF=( no.of rows-1)*(no.of columns -1) =(2-1)*(4-1) =3

now P value is given by

since P Value is greater than level of significance hence we failed to reject H0 hence we do not have enough evidence to conclude that a person’s feeling regarding self-driving vehicles being the future of driving dependent of their generation