A population of 80 rats is tested for 4 genetic mutations after exposure to some chemicals: mutation A, mutation B, mutation C, and mutation D. 43 rats tested positive for mutation A. 37 rats tested positive for mutation B. 39 rats tested positive for mutation C. 35 rats tested positive for mutation D. One rat tested positive for all fo mutations. 5 rats tested positive for mutations A, B, and C. 4 rats tested positive f mutations A, B, and D. 6 rats tested positive for mutations A C and D 3 rats torto
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- A study is being carried out in the operating room of the Regional Hospital of Veraguas to establish whether the type of surgery influences the appearance of nosocomial infections in obese patients who underwent a tubular gastrectomy. The 80 patients in the study are divided into two groups, one of whom had had an open surgery (44 patients) and the others a clean surgery. There were 37 patients with infection from open surgery and 14 with infection from clean surgery. If you did not have a nosocomial infection, what is the probability that you had clean surgery? What is the probability that a patient will have clean surgery? What is the probability that a patient will have open surgery? What is the probability of clean surgery or nosocomial infection? What is the probability of no nosocomial infection or clean surgery? If you had clean surgery, what is the probability of a nosocomial infection? If you had clean surgery, what is the probability of no nosocomial infection? If you had…People who have infectious mononucleosis (mono) test positive for the virus on a heterophile test. A man who does not have mono but is merely tired and nursing a cold takes the heterophile test, and the test result is positive. What type of error has been made (type 1 or type 2), and whyUniversity officials hope that changes they have made have improved the retention rate. Last year, a sample of 20492049 freshmen showed that 1537 returned as sophomores. This year, 1516 of 1942 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p1=p2: Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
- A paper published in the Journal of Dermatology and Venereology reported that nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow. The researcher has taken two samples in their study from a similar population. In the first sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. While in the second sample of 250 women with cosmetic dermatitis from using eye shadow, 25 were diagnosed with a nickel allergy. Compute a 95% confidence interval that is a closely related but simpler alternative to Wilson's Method for the first and the second samples for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. (i) (ii) Compare the two confidence intervals you compute in (i). (i) Suppose you are informed that the true proportion of women diagnosed with a nickel allergy is 0.12. Explain it refers to which group.As mentioned in Experimental Question E11, red eyes is the wildtype phenotype. Several different genes (with each gene existing intwo or more alleles) are known to affect eye color. One allelecauses purple eyes, and a different allele causes sepia eyes. Both ofthese alleles are recessive to red eye color. When flies with purpleeyes were crossed to flies with sepia eyes, all of the F1 offspringhad red eyes. When the F1 offspring were allowed to mate witheach other, the following data were obtained:146 purple eyes151 sepia eyes50 purplish sepia eyes444 red eyesExplain this pattern of inheritance. Conduct a chi sqThe coat color of black bears depends on a gene with two alleles. Allele B is dominant and confers black coat, whereas allele b is recessive and homozygous bears have white coats (albino black bears, I know it sounds weird but it is true). As we know from genetics each bear has two alleles and the coat colors are as follows: BB-black; Bb-black; bb-white. A researcher obtained the following data for the genotypes (BB, Bb or bb) of black bears: Genotype Number of bears BB 42 Bb 24 bb 21 You are performing the following hypothesis test: H0: The genotypes of the bears follow a binomial distribution, with a probability of receiving the b allele equal to the observed proportion of the b allele in the population. HA: The genotypes of the bears do not follow a binomial distribution What is the expected frequency of bears with genotype BB, Bb, and bb? Give the absolute expected frequency (number of bears) not the fraction/proportion of BB bears
- University officials hope that changes they have made have improved the retention rate. Last year, a sample of 2019 freshmen showed that 1555 returned as sophomores. This year, 1661 of 2096 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.10 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision.It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 55 people in the first group and this group will be administered the new drug. There are 45 people in the second group and this group will be administered a placebo. After one year, 11% of the first group has a second episode and 9% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? Select the [Alternative Hypothesis,…In a study of chromosomal anomalies observed in a randomly selected sample of 1200 infertile men with either a zero or low sperm count, a team of researchers assigned the value of 1 for the presence of any chromosomal anomaly in the subject's sperm and the value of 0 for the absence of all chromosomal anomalies in the subject's sperm.Of the 600 men with zero sperm count, 48 had chromosomal anomalies. Of the 600 men with low sperm count, 15 had chromosomal anomalies. The researchers would like to test the hypothesesHo: P1 = P2Ha: P1 does not equal P2where p₁ the true proportion of all men with zero sperm count that have chromosomal anomalies and p₂ = the true proportion of all men with low sperm count that have chromosomal anomalies.What is the z standardized test statistic, for this test?