Suppose a survey was done this year to find out what percentage of all Americans

Question

Suppose a survey was done this year to find out what percentage of all Americans own a bread machine. Out of their random sample of 1,000 Americans, 317 own a bread machine. The margin of error (with high confidence) for this survey was plus or minus 3%.

What proportion of the entire American population owns a bread machine, based on these results?

Suppose three years ago, 29% of Americans owned a bread machine. Based on the results of this current survey, what would you conclude (with high confidence) about the population of all Americans now compared with three years ago?

Explanation / Answer

proportion =317/1000=0.317, so 31.7 %

since margin of error is 3 % so based on these results 28.7 to 34.7 % Americans own a bread machine.

since three years ago 29% of Americans owned a bread machine. This 29% lies in the above limit 28.7 to 34.7 %. so we can conclude that the proportion of Americans who own a bread machine has not significantly changed from three years ago.

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