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. (i) 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. (ii) Compare the two confidence intervals you compute in i). Suppose you are informed that the true proportion of women (ii) diagnosed with a nickel allergy is 0.12. Explain it refers to which group.

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. (i) 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. (ii) Compare the two confidence intervals you compute in i). Suppose you are informed that the true proportion of women (ii) diagnosed with a nickel allergy is 0.12. Explain it refers to which group.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Similar questions

The authors of the article "Adjuvant Radiotherapy and Chemotherapy in Node-Positive Premenopausal Women with Breast Cancer"† reported on the results of an experiment designed to compare treating cancer patients with chemotherapy only to treatment with a combination of chemotherapy and radiation. Of the 154 individuals who received the chemotherapy-only treatment, 76 survived at least 15 years, whereas 98 of the 164 patients who received the hybrid treatment survived at least that long. With p1 denoting the proportion of all such women who, when treated with just chemotherapy, survive at least 15 years and p2 denoting the analogous proportion for the hybrid treatment, p̂1 = (rounded to three decimal places) and p̂2 = (rounded to three decimal places). A confidence interval for the difference between proportions based on the traditional formula with a confidence level of approximately 99% is 0.494 − 0.598 ± (2.58) (0.494)(0.506) 154 + (0.598)(0.402) 164…
Do well-rounded people get fewer colds? A study on the Chronicle of Higher Education was conducted by scientist at Carnegie Mellon University, the University of Pittsburgh and the University of Virginia. They found that people who have only a few social outlets get more colds than those who are involved in a variety of social activities. Suppose that of the 276 healthy men and women tested, n1=96 had only a few social outlets and n2=105 were busy with six or more activities. When these people were exposed to a cold virus, the following results were observed: Construct a 99% confidence interval for the difference in the two population proportions.
A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug. a. This study compared two What were the populations? b. Do you suppose the data were obtained in a survey or an experiment? c. For the population of women whose mothers took the drug DES during pregnancy, a sample of 3980 women showed that 63 developed tissue abnormalities that might lead to Provide a descriptive statistic that could be used to estimate the number of women out of 1000 in this population who have tissue abnormalities. d. For the population of women whose mothers did not take the drug DES during pregnancy, what is the estimate of the number of women out of 1000 who would be expected to have tissue abnormalities? e. Medical studies often use a relatively large sample (in this case.3980).Why?
The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?