Fifteen people were asked to indicate their preference for domestic versus impor
ID: 3434490 • Letter: F
Question
Fifteen people were asked to indicate their preference for domestic versus imported cars. The following data showed their preferences.
Individual Domestic vs. Imported
1 +
2 +
3 -
4 +
5 +
6 +
7 -
8 +
9 +
10 +
11 +
12 +
13 +
14 +
15 -
With a = 0.05, test for a significant difference in the preferences for cars. A "+" indicates a preference for imported cars.
Explanation / Answer
So the data set has 15 sample size
indicating + with 1 and - with 0
Our data set becomes
110111011111110 seperate by commas if you get confused.
there are total of 12 1's and 3 0's
hence P(1) = 12/15 = 4/5 = 0.8
P(0) = 3/15 = 1/5 = 0.2
==>mean = 0.5
sd = 0.212
given alpha = 0.05
=> from tables z = 1.96
Hence error = z*sd/ root n = 1.96*0.212/sqrt(15)=0.107
We have Ho > 0.5
and Ha <= 0.5
Hence a two tailed test
there fore
significance test
==> E = 0.107 <0.5
Hence reject the alternate hypothesis.
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