Answer :
Answer:
- chi square good ness of fit = 14.99
- p value = 0.00203
- market share for the 5 compact cars differ from reported marketed shares
- market share differences = 0.045, 0.01, 0.015, 0.01, 0.005, -0.0175, -0.0675
Step-by-step explanation:
1.
I made a table as seen in the first attachment to calculate the chisquare. from the calculations made the chisquare is given as:
X² = 4.05 + 0.235 + 0.75 + 0.4 + 0.1 + 1.531 + 7.924 = 14.99
to get the pvalue, i used the chi distribution function on excel.
n = 7
degrees of freedom = 7-1 = 6
α = 0.05
CHIDIST(14.99, 6) = 0.0020334635 = 0.00203
this pvalue lies between 0.01 and 0.025
conclusion
In conclusion, market share for 5 compact cars in Chicago differs from the market shares that was reported
2. market shares differences
= (sample market share - hypothesized share)
sample market share = observed/total
hypothesized share = given percentages
1. 98/400 = 0.245,
0.245-0.20 = 0.045
2. 72/400 = 0.18,
0.18 - 0.17 = 0.01
3. 54/400 = 0.135,
0.135 - 0.12 = 0.015
4. 44/400 = 0.11,
0.11 - 0.10 = 0.01
5. 42/400 = 0.105
0.105 - 0.10 = 0.005
6. 25/400 = 0.0625
0.0625-0.08 = -0.0175
7. 65/400 = 0.1625
0.1625 - 0.23 = -0.0675

