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Sagot :
The estimated proportion of all shoppers who were happy with their experience that day and said yes is 0.667.
What is random sample?
Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience.
At the end of the day, the owner selects 12 slips at random and looks at them. These were the results:
- yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes=12
- yes=8
To estimate the proportion is the following formula:
[tex]p'=\dfrac{x}{n}[/tex]
Here, x is the number of success and n is the sample size. Here, the sample size is 12 and number of success (yes) is 8. Thus, the estimated proportion is:
[tex]p'=\dfrac{8}{12}\\p'=0.667[/tex]
Thus, the estimated proportion of all shoppers who were happy with their experience that day and said yes is 0.667.
Learn more about the random sample here;
https://brainly.com/question/17831271
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