Dr. James, a dermatologist, is creating aface wash for her patients with severeskin allergies. However, the product is notyet ready to be released to the public.Tests indicate 47% of people with "highlysensitive skin" who sampled the facialwash still exhibit an allergic reaction.Assume the test results arerepresentative of the general population.If Dr. James released the face wash tothe public now, and 51 people with"highly sensitive skin" used it, what is theprobability that exactly 32 will have anallergic reaction?Use a normal distribution to approximatethe answer and write it as a decimalrounded to the nearest hundredth.

Answered: Image /qna-images/answer/aacf8c4c-691e-4666-9806-5179f26a583a.jpg

Answered: Dr. James, a dermatologist, is creating…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A group of disabled women ages 65 and older were followed for several years. It was found that those who had a vitamin B12 deficiency were twice as likely to suffer from severe depressions than those who did not.a. Describe the type of study being performed.b. Describe the explanatory variable(s) and response variable(s).
Use the table to answer the questions. Compute the prevalence of true diabetes in this population. Compute the sensitivity of the test. Explain in words what your sensitivity answer means. (Do not just write the definition; include your result!) Compute the specificity of the test. Explain in words what your specificity answer means. (Do not just write the definition; include your result!) Compute the positive predictive value of the test. Explain in words what your positive predictive value answer means. (Do not just write the definition; include your result!)
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?
Anterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 What is the difference between a repeated measure study and a matched pairs study?
According to the American Lung association, lung cancer account for 28% of all cancer deaths in the US. A new type of screening for lung cancer, computed tomography (CT), has been developed. Medical researchers believe CT scans are scans are more sensitive than regular X-rays in pinpointing small tumors. The Cancer Center at the University of South Florida is currently conducting a clinical trial of 50,000 smokers nationwide to compare the effectiveness of CT scans with X-ray for detecting lung cancer (Today’s Tomorrows, Fall 2002). Each participating smoker is randomly assigned to one of the two screening methods, CT or chest X-ray, and his or her progress is tracked over time. The age at which the scanning method first detects a tumor is the variable of interest. A. Identify the data collection method used by the cancer researchers. B. dentify experimental units of the study. C. Identify the type of the variable measured. D. Identify the population and sample.
According to the Humane Society, 33% of households in the United States own at least one cat. You are interested in determining whether the proportion of households of the students at your school that own at least one cat is different from the national proportion. Suppose you survey an SRS of students at your school and find that 25% of them own cats, which yields a p-value of .092. Interpret this p-value.
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
In an observational study it was found that people who had received the flu shot this year had better blood pressure readings, on average, than people who did not. Can it be claimed that the flu shot is the cause of the lower overall blood pressure? Why or why not?
Color blindness, or dyschromatopsia, is a form of genetic deficiency in color perception. The condition is much more prevalent among males than females, pointing to a genetic connection with the X chromosome. The frequency of dyschromatopsia in the Caucasian American male population is about 7%. However, it is thought that this proportion might be smaller among males of other ethnicities. We want to estimate the proportion of Asian American males who are color-blind. How large a sample size do we need in order to obtain a 95% confidence interval with a margin of error no greater than 5%, or 0.05? Use 0.5 for p̂.
Homechooling has become very popular in the United States, and many colleges try to attract students from this group. Evidence suggests that approximately 90% of all homeschooled children attend college. To check this claim, a random sample of 208 homeschooled children was obtained, and 180 of them were found to have attended college. The researcher wishes to determine whether the proportion of homeschool children who attend college is different from 0.90. Test an appropriate hypothesis and state your conclusion. Make sure to state and check all conditions and state your conclusion in context.
The American Water Works Association reports that, The average household water usage is more than 10 gallons per day. However, in a pandemic like this, it is suspected that there is a change in household water consumption. A researcher conducted a survey and took samples of 12 household heads and asked about the use of the gallon water. The data obtained are as follows: 74, 8, 13, 17, 13, 15, 12, 13, 15, 16, 9, 7. If it is known that the data is normally distributed. Use a significance level of 5% to test whether the average household water use has increased (greater than 10 gallons)? What will happen if the household's water use increases by 5% from the previous one? Analyze your answer and come up with a conclusion!

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