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A random sample of 400 adolescents in Chicago found 180 prefer sugary candy (Skittles, Starburst, Lemon...

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Statistics

A random sample of 400 adolescents in Chicago found 180 prefersugary candy (Skittles, Starburst, Lemon Heads, etc.) to chocolatecandy. A nutritionist believes fewer adolescents prefer sugarycandy to chocolate (i.e. less than 50%).

(a) Is there evidence at the 5% significance level to supportthe 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 ofthis test.

(d) Explain what a Type II error would mean in the context ofthis test.

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