(a) Suppose 3 children in a village ages 3, 5, and 7 are vaccinated with the QIV vaccine. What is the probability that at least one child among the 3 will get influenza? (Round your answer to four decimal places.) (b) Suppose that 80% of 3-4-year-old children and 70% of 5-8-year-old children in a village are vaccinated with QIV vaccine. Also assume that children who are not vaccinated have tice the incidence of influenza as the control group in the table above. (Round your answers to two decimal places.) (0) What percentage of 3-4-year-old children in the village will get influenza? (4) What percentage of 5-8-year-old children in the village will get influenza? (c) Suppose we identify a 5-8-year-old child with influenza in the village but are uncertain whether the child was vaccinated. If we make the same assumptions that we made in part (b), then what is the probability that the child was vaccinated? (Hint: Use Bayes' rule here. Round your answer to four decimal places.)

FIV (feline immunodeficiency virus) attacks a cat's immune system causing FAIDS (feline acquired immunodeficiency syndrome). It is estimated that between 2 and 25 percent of the global domestic cat population is infected with the virus. FIV is primarily transmitted from cat to cat through biting. A one-step immunochromatographic (IC) test has been developed for the detection of FIV antibodies. It is estimated that 94.7% of cats with FIV test positive and 96.1% of cats without FIV test negative using this test. Assume that 5% of the local cat population is actually infected with FIV.Use this information to answer the following:   (a) For a population of 100 000 cats:i. how many are estimated to be infected with FIV?ii. how many of the cats in (a)(i) will test positive?   (b) Use your answers from (a) to help construct a 2 x 2 table of counts displaying the results for this sample. Complete the table.  (c) Estimate the proportion of local cats that would test negative for FIV but…

FIV (feline immunodeficiency virus) attacks a cat's immune system causing FAIDS (feline acquired immunodeficiency syndrome). It is estimated that between 2 and 25 percent of the global domestic cat population is infected with the virus. FIV is primarily transmitted from cat to cat through biting. A one-step immunochromatographic (IC) test has been developed for the detection of FIV antibodies. It is estimated that 94.7% of cats with FIV test positive and 96.1% of cats without FIV test negative using this test. Assume that 5% of the local cat population is actually infected with FIV. Use this information to answer the following: (a) For a population of 100 000 cats: (i) how many are estimated to be infected with FIV? (ii) how many of the cats in (a)(i) will test positive? (b) Use your answers from (a) to help construct a 2 × 2 table of counts displaying the results for this sample. Complete the table. Estimate the proportion of local cats that would test negative for FIV but actually be…

A researcher randomly assigns participants to receive either a vaccine or a placebo, and number of infections are compared 4 weeks after the intervention. What type of design is this?   Non-experimental design Experimental design ANOVA design Correlational design

Vitamin D is important for maintaining strong bones by helping the body absorb calcium from food and sup-plements. The recommended amount of vitamin D is 400 IU (international units) per day. Many people take vitamin D supplements, often at levels greatly exceeding the recommended daily amount. What is the effect of taking too much vitamin D? Researchers investigated this in a double-blind randomized clinical trial. Subjects were divided into three groups. One, consisting of 109 subjects, took 400 IU per day for three years. second group, consisting of 100 subjects, took 4,000 IU per day for three years. A third group, consisting of 102 subjects, took 10,000 IU per day for three years. The total volumetric bone mass density of the tibia (the large bone located in the lower front portion of the leg, sometimes referred to as the shinbone) was measured in order to assess the effect of the different dosages of Vitamin D.11 The degrees of freedom for the ANOVA F statistic comparing the mean…

Find the percent of women not experiencing any new UTIs in each of the three treatment groups.

Recent incidents of food contamination have caused great concern among consumers. An article appearing in a consumer magazine reported that 36 of 80 randomly selected Brand A chickens (Group 1) tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food- borne disease, whereas, 48 of 80 Brand B chickens (Group 2) tested positive. Do the samples provide enough evidence to conclude the true proportion of all contaminated Brand A chickens would differ from that of the Brand B chickens? Test using the level of significance a = 0.01. Remember to (i) Explicitly give both hypotheses (ii) Calculate the test statistic (ii) Give the rejection region using the critical value (iv) Give a decision

A data collection method is described to investigate a difference in means. Determine which data analysis method is more appropriate: paired data difference in means or difference in means with two separate groups. To study the effect of women's tears on men, levels of testosterone are measured in 50 men after they sniff women's tears and after they sniff a salt solution. The order of the two treatments was randomized and the study was double-blind. O Paired data difference in means O Difference in means with two separate groups

Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children with autism and children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period). Autism. No Autism Vitamins - Yes 143 Vitamins - No 111 159 70 Do we have sufficient evidence to conclude that the proportion of children with autism is different between women that used vitamins and women that did not if the type I error rate you are willing to tolerate is 5%? Not able to determine We should accept the null We should reject the null We should not reject the null

You’re interested in knowing if a walking plus strength training exercise program results in a significantly greater increase in maxVo2 as compared to a walking only or a strength training only exercise program. Participants are randomly selected and then randomly assigned to one of three groups— walking plus strength training, walking only, or strength training only. After 6-months of exercise the participants are assessed. Which statistical analyses was used?