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**According to a marketing expert, 40% of Pastafarians prefer lasagna. If 9 out of 20 pastafarians choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.05 level of significance.**

Attempt:

H0: p=0.4

H1: p=/=0.4

Test statistic: Binominal variable X with p=0.4 and n=20.

x=9, and np0 = 8

[tex]

P=1 - \Sigma_{x=0}^9 b(x;20,0.4) = 1 - 0.7553 = 0.2447

[/tex]

Correct answer: 0.4044.

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