A particular article reported the accompanying data on phenotypes resulting from crossing tall cut-leaf tomatoes with dwarf potato-leaf tomatoes. There are four possible phenotypes: (1) tall cut-leaf, (2) tall potato-leaf, (3) dwarf cut-leaf, and (4) dwarf potato-leaf. Mendel's laws of inheritance imply that π₁ = 9/16, π₂ = 3/16, л3 = 3/16, and л4 = 1/16. Are the data from this experiment consistent with Mendel's laws? Use a 0.01 significance level. (Use 2 decimal places.) Phenotype 1 2 3 4 Frequency 925 289 294 103 x² = 1.178 ×
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- Chi Square analysisyou are provided with counts ofF1 and F2 offspring with given genders and disease phenotypes.The data are generated from an initial parental cross.One parent displays the disease phenotype and one displays the wild-type (WT) phenotype.The WT parent always has a homozygous genotype. There are three possible modes of inheritance that underliethe generation of the data. All are monogenic. They are: (i) Autosomal Recessive.(ii) Homozygous Lethal Dominant.(iii) Autosomal Dominant. One's phenotype is determined by their genotype at the disease locusand the mode of inheritance, as we have seen with the Punnett Square. In this assignment you are provided with a computer generated mode of inheritance.Your task is to perform a chi-square goodness of fit teston the F2 data and make a decision, based on your statistical analysis, as to whetheryou reject or do not reject the computer generated mode of inheritance as being consistentwith the observed data. The mode of inheritance you are to test…(b) Consider an experiment with two factors, where one factor, say, Factor B, is nested within Factor A. In other words, every level of B appears with exactly one level of Factor A. State a statistical model for this and clearly explain its parameters.
- Kuru is a prion disease of the Fore people of highland New Guinea. It was once transmitted by the consumption of deceased relatives at mortuary feasts, a ritual that was ended by about 1960. Using archived tissue samples, Mead et al. (2009) investigated genetic variants that might confer resistance to kuru. The data in the accompanying table are genotypes at codon 129 of the prion protein gene of young and elderly individuals all having the disease. Since the elderly individuals have survived long exposure to kuru, unusually common genotypes in this group might indicate resistant genotypes. b) Test whether genotype frequencies differ between the two age groups. Provide your answer below. (Your answer should include 1) null and alternative hypothesis, 2) degrees of freedom, 3) calculated chi-square value, 4) critical chi-square value (alpha=0.05) and 5) final biological conclusion)4. In one of Mendel’s early genetics experiments, he observed two traits on each of 556 garden peas: shape (Round or Angular) and Colour (Yellow or Green). The results are listed in dataset “Mendel”. According to his model, the four classes should occur in a 9:3:3:1 ratio. Do the data support that presumption? Do a relevant hypothesis test at the alpha of 0.05 level of significance. 4.1. Define the hypothesis. 4.2. Calculate the test statistic. 4.3. Provide a conclusion.data Mendal;input @1 Colour $14. @15 Frequency 5.;datalines;RoundYellow 315RoundGreen 108AngularYellow 101AngularGreen 32;run;you are given two data sets that provide counts of F1 and F2 offspring with given genders and disease phenotypes. The data are generated from an initial parental cross. One parent displays the disease phenotype and one displays the wild-type (WT) phenotype. The WT parent always has a homozygous genotype. Your task is to perform a chi-square goodness of fit test on each of two F2 data sets, and make a decision, based on your statistical analyses as to which F2 data set provides greater evidence for indicating the correct mode of inheritance. In this problem, the true mode of inheritance is autosomal dominant, homozygous lethal. Evidence is measured in the following ways: the p-value is greater than 0.05, so we do not reject the null hypothesis, and the p-value is closer to 1. A few things of which to be mindful. 1. In the parental generation, the WT parent always has a homozygous genotype. 2. For the autosomal dominant mode of inheritance, the disease gene always homozygous for the…
- A researcher uncovers that there is a significant interaction between the factor of marital status (i.e., married or non-married) and participant sex (i.e., male or female) regarding well-being among a sample with n = 6 participants in each condition. A researcher decides to compare the difference in well-being between married men and women. The MSwithin treatments from the original two-factor analysis is MSwithin treatments = 1.00. What is the F-ratio for this comparison using the matrix below, which depicts descriptive statistics regarding married participants? __________________________________________________________________________________________ Participant Sex Males Females __________________________________________________________________ n = 6 n = 6 N = 12 M = 4…A researcher wants to determine if exposure to subliminal (unconscious) images depicting older adults (80-95 years old) will influence the time it takes pedestrians to get across a busy intersection using a crosswalk. A random sample of sixty pedestrians are exposed to a set of subliminally presented positive images using a special electronic traffic signal before the signal prompts them to cross. From previous studies (using the same crosswalk and intersection), the experimenter knows that when no subliminal images are presented, the average time it takes the city’s population to cross is 30.5 seconds, with a standard deviation = 5.5 seconds.Researchers conducted trials to investigate the effects of color on creativity. Subjects with a. Red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task". Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. what are the null and alternative hypothesis identify the test statistic ifentify the p value
- A recent study investigated the association between sudden cardiac death and smoking history in women from a large health system. The epidemiologist reviewed the electronic health records of women who died from sudden cardiac death (n=80) and women who died of non-cardiac causes (n=80). The investigator then reviewed these records for smoking history (smoking 1+ pack/day and smoking <1 pack/day) and identified the following results. Sudden Cardiac Death 38 42 Smoke 1+ pack/day Smoke <1 pack/day Calculate the most appropriate measure of association for these data (a)-round to the nearest tenth. Other Causes 10 70A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 10 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 10 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with multivitamin 5.3 , 4.1 , 2.8 , 6.0 , 4.4 , 7.9 , 6.5 , 8.4 , 7.9 , 3.1 Treated with vitamin C 3.5 , 3.6 , 4.9 , 4.0 , 3.9 , 4.5 , 4.8 , 3.7 , 5.3 , 1.4 Send data to calculator Send data to Excel Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with…A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 10 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 10 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 3.2, 9.0, 3.0, 1.3, 9.2, 6.0, 5.0, 5.7, 9.5, 5.8 multivitamin Treated with 8.3, 0.5, 6.7, 3.5, 3.6, 5.0, 6.6, 0.3, 7.7, 1.3 vitamin C Send data to calculator Send data to Excel