Answer:
Note: <em>The full question is attached as picture below</em>
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1. The manufacturer is taking a sample of her friends, which is most convenient to sample - Convenience sampling
2. The whole population is divided into different groups (strata) and random samples are drawn from each group - Stratified sampling
3. The population is divided into different clusters (here, communities) and whole clusters are surveyed - Cluster sampling
4. The samples are drawn at a fixed interval from the population list - Systematic sampling
5. The samples are randomly drawn from the population - Simple random sampling
The whiteboards she bought cost $35, and she spent a total of $51.20, subtract to find out the total amount she spent on posters:

So she spent a total of $16.20 on posters, now divide by the amount one poster costs to find out how many posters she bought.

So she bought 3 posters.
The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.
<h3>What is population proportion?</h3>
A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.
Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).
Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Learn more about population proportion here.
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Numbers less than or equal to 37 include 37, 36, 35, 34, 33, 32, etc.