36 people surveyed at random and learned that 20 people are in favor of a new shopping mall. What is a good estimate that person chosen at random in her town would favor a new shopping mall.
20/36
To estimate the proportion of people in the town who would favor a new shopping mall, we can use the concept of sampling distribution. Since we have information from a sample of 36 people, we can use the sample proportion to estimate the population proportion.
In this case, we know that out of the 36 people surveyed, 20 people are in favor of the new shopping mall. Therefore, the sample proportion can be calculated as:
Sample Proportion = Number in Favor / Sample Size = 20 / 36 ≈ 0.5556
To estimate what proportion of people in the town would favor the new shopping mall, we can use this sample proportion as an estimate of the population proportion.
Hence, a good estimate would be that approximately 55.56% of the people in the town would favor a new shopping mall.