Step-by-step explanation:
On the first day, the shop owner sampled 12 slip of paper which gives him / her a number of YES and NO
According to the analysis,
the total number of YES = 8
The total number of NO = 4
This implies that 8 shoppers were happy
Therefore, Proportion = Number of happy shoppers / over total number of sampled shoppers
Proportion = 8 / 12
Proportion = 2/3
In percentage = 2/3 x 100%
= 0.6667 x 100%
= 66.67%
This implies that 66.67 % of the shoppers were happy
Second day, the owner of the shop founds that 25% of the 12 selected slips were marked yes.
This implies that
25% of the total slip selecetd will result to the number of slips marked yes
25/100 x 12
0.25 x 12
= 3
Therefore, the number of happy shoppers were 3
Firstly, This is not the over all proportion because there is a deviation from the first analysis made. The selected 12 slips in the first day indicates that 8 happy shoppers were selected and 4 shoppers were marked No
The other day, shows that 3 happy shoppers were marked YES and 9 shoppers were marked NO.
I would advice the shop owner to gather more data