Name: submitted on the original book To be graded all assignments must be comple

Question

Name: submitted on the original book To be graded all assignments must be completed and page EXHIBIT 1 A common problem A team psychology researchers was interested in potential misinterpretations of the term of in a confidence interval. They collected data from 442 undergraduate students graduate students, and 118 their research-active colleagues. All were presented with a fictitious scenario of a professor who conducts an experiment and reports 95% proportion] that ranges from 0.1 0.4. the to of study nor the underlying statistical model compute the Ci was specified in the survey." The subjects were then asked specify whether they agreed or disagreed with each of the following tatements as interpretations of that confidence interval Here is what the investigators found TABLE 2.7 percentage ofsubjects Agreeing with the Statement First Year Master Researchers Students Students Statement In 118) (n 442) 1. The probability that the true proportion is greater than 0 51% 32% 38% is at least 95%. 2. The probability that the true proportion equals 0 is 55% 44% 47% smaller than 59%. 3. There is a 95% probability that the true proportion lies 58% between 0.1 and 0.4. 4. We can be 95% confident that the true proportion lies 49% between 0.1 and 0.4. 55% 5. If we were to repeat the experiment over and over, then 95% of the time the true porportion falls between 0.1 and 0.4. 'Hoekstra, R Morey R.Rouder and misinterpretation of confidenceintervals PsychonBu0Rex Published online January 14, 2014. httpe/www.ejwagenmakerscom/inpressHoekstraEtAlPBRpdf Table has been neformatted, one statement omitted,and mean'dangedto proportion All of the statements are wrong! Students and professional researchers alike found the interpretation of a confidence interval to be challenging. Yet, it is not acceptable to step away from this challenge. Confidence intervals are used everywhere as a kind of statistical seal of approval for survey and experiment results. (OND THE NUMBERS 2.20

Explanation / Answer

1:

Confidence interval gives 2 sided bond but the statement gives one sided bond.

2:

Confidence interval gives 2 sided bond but the statement gives one sided bond.

3:

The correct statement should be "We are 95% confident that true proprotion lies in the interval 0.1 and 0.4."

It did not give probability.

4:

"We can be" is incorrect statement. It should be "We are 95% confident "

5:

It is 95% confidence intervals out of all confidence intervals contain true proportion.

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