In a sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample of 250 women with cosmetic dermatitis from using mascara, 25 were diagnosed with a nickel allergy Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. Interpret the result. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. Interpret the result. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow or mascara) is.12. Can you determine which group is referenced? Explain. 6. a) b) c)

Question
In a sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed
with a nickel allergy. In a sample of 250 women with cosmetic dermatitis from using mascara, 25
were diagnosed with a nickel allergy
Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from
using eye shadow who have a nickel allergy. Interpret the result.
Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from
using mascara who have a nickel allergy. Interpret the result.
Suppose you are informed that the true proportion with a nickel allergy for one of the two groups
(eye shadow or mascara) is.12. Can you determine which group is referenced? Explain.
6.
a)
b)
c)

Image Transcription

In a sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample of 250 women with cosmetic dermatitis from using mascara, 25 were diagnosed with a nickel allergy Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. Interpret the result. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. Interpret the result. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow or mascara) is.12. Can you determine which group is referenced? Explain. 6. a) b) c)

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