Many people assume that nurses are less likely than others to \"feel faint\" or

Question

Many people assume that nurses are less likely than others to "feel faint" or "get sick" at the sight of blood. Suppose it is known that 30% of Americans will feel faint or get sick at the sight of blood. A random sample of 500 nurses was obtained. Of the 500 nurses, only 125 admitted to ever feeling faint or getting sick at the sight of blood . At the 10% significance level, can you conclude that nurses are less likely than other Americans to feel faint or get sick at the sight of blood?

The La Leche Society has released an educational video on the benefits of breast feeding. Prior to the release of the videos, it was known that 75% of new moms breast-feed exclusively for the first six weeks of their child's life. The CEO wants to know if the videos are increasin this proportion. A random sample of 400 new moms was obtained and 320 breast-fed their new babies exclusively for the first 6 weeks. At the 5% significance level, what conclusion can be reached?

Explanation / Answer

Many people assume that nurses are less likely than others to "feel faint" or "get sick" at the sight of blood. Suppose it is known that 30% of Americans will feel faint or get sick at the sight of blood. A random sample of 500 nurses was obtained. Of the 500 nurses, only 125 admitted to ever feeling faint or getting sick at the sight of blood . At the 10% significance level, can you conclude that nurses are less likely than other Americans to feel faint or get sick at the sight of blood?

p = 125/500 = 0.25

Ho : p = 0.30

H1 : p < 0.30

Z = 0.25 - 0.30 / [ srqt(0.30*0.70 / 500) ]

Z = -2.44

for alpha = 0.05    critical value : -1.64

conclusion since Z is greater than -1.64 we reject Hio

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