The correct statement is The survey sample is biased because it is not representative of all city residents.Thus, correct option is D.
According to the statement
We have to find the correct statement about the council's survey.
So, For this purpose, we know that the
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.
So, from the given information:
The members of the city council wanted to assess opinions of all city residents. To gather an unbiased sample, the council should have used a random sampling design to select subjects from all city residents. The given survey introduced a sampling bias because the 500 city residents surveyed were all dog owners. This sample is not representative of all city residents.
Choice A is incorrect because when the sampling method isn’t random, there is no guarantee that the survey results will be reliable, hence, they cannot be generalized to the entire population. Choice B is incorrect because a larger sample size would not correct the sampling bias. Choice C is incorrect because a survey sample of non–dog owners would likely have a biased opinion, just as a sample of dog owners would likely have a biased opinion.
So, The correct statement is The survey sample is biased because it is not representative of all city residents.Thus, correct option is D.
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