Which part of the survey described in Exercise 31 represents t...

Question

Which part of the survey described in Exercise 31 represents the descriptive branch of statistics? What conclusions might be drawn from the survey using inferential statistics?

Accepted Answer

Hello there. Today we're going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. A survey was conducted among 1200 residents of a city to determine their satisfaction with the public transportation services. The survey found that 68% of the respondents were satisfied with their services. Which part of this survey represents the descriptive branch of statistics? What conclusions might be drawn from the survey using inferential statistics? Awesome. So it appears for this particular problem we're asked to solve for two separate answers. We're asked to determine which part of this particular survey represents the descriptive branch of statistics, and we're also asked to create what conclusions might be drawn from the survey using inferential statistics. So now that we know what we're ultimately. Trying to solve for our first major step in order to solve this particular problem is we need to recall and understand the concepts of descriptive statistics and inferential statistics, which I'll denote as DS for short for descriptive statistics and IS for inferential statistics. So as you should recall, descriptive statistics involves organizing, summarizing, and presenting data collected from a sample or population, whereas inferential statistics involve using data from a sample to make generalizations or predictions about a population as a whole. So with that in mind, our second step is we need to identify the descriptive statistics for this particular prompt. Which for this case, as we should recall, the descriptive branch of statistics in this particular problem is the 68% satisfaction rate obtained from the survey of 1200 city residents, and it summarizes the collected data from the respondents. So now, our 3rd and final step is we need to identify the inferential statistics used in this particular prompt. So when we use inferential statistics, We might conclude that approximately 68% of the entire city population is likely to be satisfied with the public transportation services, assuming that the sample is truly representative. So with that in mind, without a doubt, our final answer will have to be. The following summarized, which is the 68% satisfaction rate represents descriptive statistics, while inferential statistics might generalize that a similar proportion, around 68% of all city residents are satisfied with public transportation, and that's it, we've officially solved for this problem. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

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