probability theory|Quick homework help
Posted: February 16th, 2023
Get on the Gallup website at
https://www.gallup.com/Search/Default.aspx?s=&p=1&q=polls&b=Links to an external site.
Pick one of the articles (not a blog) on the Gallup website OR select an article listed below and discuss the measures of central tendency.
In the article, scroll down and find the “survey methods” box and click the +.
In your original post, answer the following:
FYI – You might want to copy and paste the above, and then just answer each question in a short paragraph just below it before moving to the next question.
· Describe the survey methods used by Gallup. (Describe in detail how the data was collected, and how the sample to be used was determined.)
· Interpret the margin of error presented in the article and construct the confidence interval based on the margin of error. (Identify what the margin is in your study according to the poll results given. Construct the interval as illustrated above.)
· What confidence was used in the article? (This should be stated somewhere in the article.)
· Do you think the confidence level selected was appropriate? Why or why not? Offer your opinion based on the consequences of being wrong, and how confident you need to be based on those consequences.)
Articles:
Saad, L. (2020, October 30). Americans Plan to Scale Back on Holiday Spending This Year. Retrieved October 31, 2020, from https://news.gallup.com/poll/322796/americans-plan-scale-back-holiday-spending-year.aspxLinks to an external site.
Crabtree, S. (2020, October 29). Americans’ Social Distancing Habits Have Tapered Since July. Retrieved October 31, 2020, from https://news.gallup.com/poll/322064/americans-social-distancing-habits-tapered-july.aspxLinks to an external site.
Saad, L. (2020, October 29). Americans’ Readiness to Get COVID-19 Vaccine Falls to 50%. Retrieved October 31, 2020, from https://news.gallup.com/poll/321839/readiness-covid-vaccine-falls-past-month.aspxLinks to an external site.
Brenan, P. (2020, October 20). Americans Favor Saving Over Spending Until Vaccine. Retrieved October 31, 2020, from https://news.gallup.com/poll/318815/americans-favor-saving-spending-until-vaccine.aspxLinks to an external site.
Brenan, M. (2020, October 29). More Voters Than in Prior Years Say Election Outcome Matters. Retrieved October 31, 2020, from https://news.gallup.com/poll/322010/voters-prior-years-say-election-outcome-matters.aspxLinks to an external site.
Newport, F. (2020, October 28). Americans and the Role of Government. Retrieved October 31, 2020, from https://news.llup.com/opinion/polling-matters/321767/americans-role-government.aspxLinks to an external site.
Saad, L. (2020, October 29). U.S. Satisfaction With Women’s Treatment Remains Tepid. Retrieved October 31, 2020, from https://news.gallup.com/poll/317279/satisfaction-women-treatment-remains-tepid.aspxLinks to an external site.
McCarthy, J. (2020, October 29). Ideal Evenings for Most Americans Involve Family Time, TV. Retrieved October 31, 2020, from https://news.gallup.com/poll/313028/ideal-evenings-americans-involve-family-time.aspxLinks to an external site.
Saad, L. (2020, October 29). U.S. Conservatism Down Since Start of 2020. Retrieved October 31, 2020, from https://news.gallup.com/poll/316094/conservatism-down-start-2020.aspxLinks to an external site.
Gallup, I. (2020, May 21). The Characteristics of Good Jobs for Low-Income Workers. Retrieved October 31, 2020, from https://www.gallup.com/education/309911/characteristics-good-jobs-low-income-workers.aspxLinks to an external site.
SOLUTION
Probability is a fundamental concept in mathematics and statistics that deals with the measurement and analysis of uncertain events. It is used to quantify the likelihood of an event occurring, based on the available information or data. Probability theory has many applications, ranging from the analysis of games of chance to the modeling of complex systems in physics, engineering, and finance.
In probability theory, the probability of an event is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. For example, the probability of rolling a six on a fair six-sided die is 1/6, while the probability of getting heads when flipping a fair coin is 1/2.
Probability theory has many branches, including classical probability, Bayesian probability, and frequentist probability. Classical probability is based on the assumption of equally likely outcomes, while Bayesian probability involves the use of prior knowledge or beliefs to update the probability of an event. Frequentist probability is based on the long-run frequency of events occurring.
Probability theory is used in many fields, including science, engineering, economics, and medicine, to make predictions and inform decision-making. It is also used in statistical inference, which involves using probability to make conclusions about populations based on samples of data.
Overall, probability theory is a fundamental concept that plays a crucial role in many areas of mathematics, science, and everyday life.
SOLUTION
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