A local brewery produces three premium lagers named Half Pint, XXX, and Dark Nig

Question

A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 35 preferred the Half Pint lager, 37 preferred the XXX lager, and 8 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance.

State the value of the test statistic. (Round your answer to two decimal places.)

X^2obt =

Explanation / Answer

we compute the degrees of freedom, the expected frequency counts, and the chi-square test statistic. Based on the chi-square statistic and the degrees of freedom, we determine the P-value.

DF = k - 1 = 3 - 1 = 2

(Ei) = n * pi

(E1) = 80 * 0.40 = 32

(E2) = 80 * 0.40 = 32

(E3) = 80 * 0.20 = 16

2 = [ (Oi - Ei)2 / Ei ]

2 = [ (35 - 32)2 / 32 ] + [ (37 - 32)2 / 32 ] + [ (8 - 16)2 / 16 ]

2 = 0.2812 + 0.7812 + 4

2 = 5.06

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.