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%, the expected population proportion that prefers to shop at places with loyalty cards is between
__% and __%.
To find the expected population proportion, we need to find the lower and upper limits given the margin of error.
The lower limit is found by subtracting the margin of error from the sample proportion:
lower limit = 58% - 3.4% = 54.6%
The upper limit is found by adding the margin of error to the sample proportion:
upper limit = 58% + 3.4% = 61.4%
Therefore, the expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.