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- Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of correctly receiving a -word coded message made up of -bit words.You want to determine (at the 0.05 level of significance) whether the media that people turn to for news is different for various age groupsAge GroupTotalUnder 3636 - 50More than 50MediaTV107119133359Radio7597109281Local newspaper5279107238National newspaper73102127302Internet958376254Total4024805521434a) State the hypotheses.b) Find the critical value at the 5% significance level (rounded off to four decimals).c) Calculate the value of the Chi-square test (rounded off to two decimals).d) State the conclusion at the 5% significance level
- According to a local chamber of commerce, in 1993, 5.9% of local area residents owned more than five cars. A local car dealer claims that the percentage has increased. He randomly selects 180 local area residents and finds that 12 of them own more than five cars. Test this car dealer's claim at the level of significance of 0.05.Researchers conducted a study to find out if there is a difference in the use of online-learning by different age groups. Randomly selected participants were divided into two age groups. In the 16 to 29-year-old group, 7% of the 628 surveyed use online-learning, while 11% of the 2,309 participants 30 years old and older use online learning. (Set 1 for 16-29 year old group; Set 2 for 30 years old and older). Find the p-value of 2-prop-z-test.A consulting firm was hired to conduct a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly-selected people in different boroughs. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results. Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondent’s general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement. Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan. Repeat part (a) for μ2 through μ5, the average attitudes…
- A researcher wishes to see whether there is a difference in the weight loss ofwomen following one of the three special diets. Women are randomly assignedto the three groups and placed on the diet for 2 months. The weight losses (inpounds) are shown here. At α = 0.05, can the researcher conclude that there isa difference in diets?A study to look at the prevalence of schizophrenia has 75 participants and 5 experimental groups. How many degrees of freedom between are there in the study? How many degrees of freedom within are there in the study? Assuming that the original Fcrit = 2.503, what would Scheffe’s Fcrit be?A geneticist working on peas has a single plant monohybrid Y/y (yellow) plant and, from a self of this plant,wants to produce a plant of genotype y/y to use as a tester. How many progeny plants need to be grown to be 95percent sure of obtaining at least one in the sample?
- A doctor claims that less than 30% of all persons exposed to a certain amount of radiation will feel any ill effects.If in a random sample only 1 of 19 persons exposed to such radiation felt any ill effects,test Ho:p=0.30 against H1:p<0.30 at the 0.05 level of significance4. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d below
