As the saying goes, any man should accomplish three things in his life: build a house, plant a tree, and raise a child. Let us concentrate on the second part for now. A certain gardening magazine conducted a survey to determine how many people have planted a tree in their life. The results stated that 13% of the respondents have planted at least one tree. For the margin of error to be 5%, how many people should be surveyed? Round up to the nearest whole number, if necessary. In order to have a margin of error of 5%, people should be surveyed.

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As the saying goes, any man should accomplish three things in his life: build a house, plant a tree, and raise a child. Let us concentrate on the second part for
now. A certain gardening magazine conducted a survey to determine how many people have planted a tree in their life. The results stated that 13% of the
respondents have planted at least one tree. For the margin of error to be 5%, how many people should be surveyed? Round up to the nearest whole number, if
necessary.
In order to have a margin of error of 5%,
people should be surveyed.
Transcribed Image Text:As the saying goes, any man should accomplish three things in his life: build a house, plant a tree, and raise a child. Let us concentrate on the second part for now. A certain gardening magazine conducted a survey to determine how many people have planted a tree in their life. The results stated that 13% of the respondents have planted at least one tree. For the margin of error to be 5%, how many people should be surveyed? Round up to the nearest whole number, if necessary. In order to have a margin of error of 5%, people should be surveyed.
Expert Solution
Step 1:-

Given that p= 13% = 0.13

So q= 1-p= 1-0.13 = 0.87

Margin of error= 5% = 0.05

Z at 95% confidence interval= 1.96

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