In: Statistics and Probability
A recent study attempted to estimate the proportion of Florida residents who were willing to spend more tax dollars on protecting the Florida beaches from environmental disasters. Forty-six hundred Florida residents were surveyed. 37% of those surveyed said they were willing to spend more tax dollars on protecting the Florida beaches from environmental disasters. The researcher concludes that about 37% of all Florida residents were willing to spend more tax dollars on protecting the Florida beaches.
1. What is the research objective?
2. Identify the population and the sample.
3. Identify the descriptive statistic.
4. Identify the inference/conclusion.
(1). Reasearch Objective:- objective is to estimate number of people in FLorida who are willing to spend more of the tax money on protecting the Florida beaches from environmental disasters. Estimate of number of people wil give the proportion of the Florida residents
(2). Population includes all the residents of the Florida while sample (4600) includes the number of residents who were included for the study that is number of residents who were surveyed regarding the issue.
(3). Descriptive statistic in this case is the proportion of the sample who were willing to spend more tax money on protecting the Florida beaches which is equal to 37%, that is 37% of the residents who were surveyed voted for protecting the Florida beaches by spending more tax money.
(4). Conclusion can be drawn that out of total population approximately 37% of the population were willing to spend more tax money on protecting the Florida beaches. However this conclusion can be different as we only estimated on the basis of sample results and not on the basis of entire population survey. If the population is nearer to 4600 then this conclusion is quite safe otherwise actual proportion could be quite different.