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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 300 donors, 43 have hypertension. All answers to three places after the decimal. 1)Assuming our sample of donors is among the most typical 99.9% of such samples, the true proportion of college students with hypertension during finals week is between____and____. 2)Covering the worst-case scenario, how many donors must we examine in order to be 95% confident that we have the margin of error as small as 0.01? 3)Using a prior estimate of 15% of college-age students having hypertension, how many donors must we examine in order to be 99% confident that we have the margin of error as small as 0.01?To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 25 values obtained for alloyed wire yielded an average of 0.083 ohm with s = 0.003 ohm, and 25 values obtained for standard wire yielded an average of 0.086 ohm with s = 0.002 ohm. Use 5% level f significance to determine whether the claim has been substantiated. What is the computed value and decision?State the null and alternative hypotheses. We want to test if the most popular brand of soda contains 355ml. We want to test if the average recovery time for knee surgery patients is 8.2 weeks when exposed to a thorough exercise program.
- The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process, involving the use of gold wire, is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false: a) Since only 4% of the 100 units were defective, we can conclude that the goal has been reached. b) Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached. c) There is no use in testing the new process, because no matter what the result is, it could just be due to sampling variation. d) If we sample a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.Find kurtosis by using ungroup data given in the picture using quartile deviation, make sure to arrange data before solving question.A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n = 16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each student's reaction time is measured. The scores for the sample averaged M = 220 milliseconds with SS = 6000. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Make a point estimate and a 95% confidence interval estimate for the treated population mean.
- The desired seeding rate of a farmer on his corn field is 90,000 seeds per hectare. If emergence of 90% is expected, what should be expected plant population?To determine the gas constant RR, two students AA and BB perform an experiment based on the ideal gas equation given as Pv=RTPv=RT . Both use the same gaseous sample having v=16.6m3/molv=16.6m3/mol and reported the approximate value of RR as 8.3J/(K∆mol)8.3J/(KΔmol) using the minimisation of sum squared error. The data collected by both the students are reported below. Choose the correct option: A has better fit than BB BB has better fit than AA AA and BB both have same fit SSE calculated by BB is 14 SSE calculated by AA is 14 SSE calculated by both AA and BB is 14The chi square statistics please answer and show work on solving x2 critical value and x2
- A sample of 130 is drawn from a population with a proportion equal to 0.67 **Round to four decimal places as needed**The proportion p of residents in a community who recycle has traditionally been 70% . A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 156 out of a random sample of 245 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim…The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 133 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.) A. Find the value of the test statistic. (Round to three or more decimal places.) B. Find the critical value. (Round to three or more decimal places.) C. Is there enough evidence to support the policy…