In: Statistics and Probability
A random sample of 400 adolescents in Chicago found 180 prefer sugary candy (Skittles, Starburst, Lemon Heads, etc.) to chocolate candy. A nutritionist believes fewer adolescents prefer sugary candy to chocolate (i.e. less than 50%).
(a) Is there evidence at the 5% significance level to support the belief of the nutritionist.?
(b) Interpret the P-value in the context of this test.
(c) Explain what a Type I error would mean in the context of this test.
(d) Explain what a Type II error would mean in the context of this test.