Graded Worksheet C1 Name: __Jacob Dziubek___________________ A researcher reports a survey result as 37.2%, with a margin of error of 2.9%. 1.Write the corresponding confidence interval. 90% 2.The researchers confidence level was 90%.This means that the researcher has used a method that yields an incorrect result _10____________% of the time. 3.In general, if we keep the same sample size, increasing the margin of error will _______increase_________ (increase / decrease) the confidence level. 4.In general, if we keep the same margin of error, using a smaller sample will __________increase_____ (increase / decrease) the confidence level. 5. Calculate the standard error (se) for the following situations. a.268 people said yes out of a sample of size 1049 SE= .013465 b.717 people out of 1237 believe that the governor is doing a satisfactory job SE= .0140348 6. For each part of the exercise 5, give a 95% confidence interval.Write the answer in a form similar to this: (45.73%, 59.14%). A.)22.91%, 28.19 B.)55.21%, 60.71% Second Worksheet Homework worksheet #13page 2 A professional pollster takes an exit poll for an election of a governor in Pennsylvania.Of the 1400 people surveyed, 660 say they voted for the Democratic candidate.We will treat this exit poll as a random sample of all the people who voted in that election. 1.What is the population? The people who voted in Pennsylvania election 2.Theparameter of interest is described using the variable p.Circle all the correct statements: a.p is the proportion of the sample that voted for the Democrat. b.p is the proportion of all those voting who voted for the Democrat. c.The value of pis unknown. 3.What is the value ofpfor this situation? =.471428 4.To use the methods we use, n must be large enough.Show the calculations necessary to show that n is large enough. Yes it it 5.Calculate a 99% confidence interval for this situation.Show your work, and write the final answer in the form (43.71------, 50.58-------). Write your answers as percents, rounded to 2 places after the decimal. P+ or z square root of p(1-p)/n .47142+ or 2.58 square root .47142(1-.47142)/1400 .47124+ or - .0344 (.4371, .5058)=43.71 and 50.58 6.Fill in the blanks.I am 99% confident that between _43.71______% and _____50.58__% of all the people voting voted for the Democrat. 7.Based on your calculations, is it plausible to believe that the Democrat won the election? (YES / NO) Homework worksheet #13page 3 3rd Worksheeet In 1975 it was estimated that 65% of U.S. consumers regularly used discount coupons when shopping.A research firm plans to investigate whether this percentage has changed in the meantime. In a sample of 1034 people, 796 reported regularly using discount coupons. 1.Identify the claim being investigated, in the form = 0 2.Find the mean and standard error the test will be based on. SE=.0130908582 MEAN =.65 3.Are both 0 and (1 0) at least 15?Show the calculation. 4.Find the z-value, and the (two-tail) P-value P=.76982 Z=.738254 5.Decide if you would reject the original claim from part (a) if your cutoff for making the decision is 0.05.(Yes or no) 6.Decide if you would reject the original claim from part (a) if your cutoff for making the decision is 0.01. (Yes or no) Homework worksheet #13page 4 4th Worksheet For pig farmers in Kansas, researchers are interested in the education level of the farmer.A study ten years ago had indicated that 48% of all Kansas pig farmers had a college degree.Is there evidence to indicate that this has changed in the past ten years? 1.To answer the question, the researchers sample 262 randomly chosen pig farmers, and find that 144 have a college degree.Do the complete analysis, including correctly stating the hypotheses, calculating the test statistic and p-value, giving a graph in which the area corresponding to the p-value is shaded, and answering these two questions by circling the answer. At = 0.05, did they reject the null hypothesis?YESNO At = 0.05, is there evidence that the proportion has changed in the past ten years?YES NO 2.Use the data from problem 1 to give both a point estimate and a 99% confidence interval for the proportion of all Kansas pig farmers today who do have a college education. + or 7.92 47.04% to 62.88%