Consider the observed frequency distribution for the set of random variables on

Question

Consider the observed frequency distribution for the set of random variables on the right.

b. Determine the p-value and interpret its meaning.

Consider the observed frequency distribution for the set of random variables on the right.

a. Perform a chi-square test using alphaequals=0.05 to determine if the observed frequencies follow the binomial probability distribution when p=0.50
and n=44.

b. Determine the p-value and interpret its meaning.

Random Variable, x Frequency, fo 30 93 149 107 21 400 4 Total

Explanation / Answer

formulas used

since   TS = 2.6267 < critical value (9.4877)

we fail to reject the null hypothesis

we conclude that the observed frequencies follow the binomial probability distribution when p=0.50 and n=4

b)

p-value = 0.622

The P-value is the probability that a chi-square statistic having 4 degrees of freedom is more extreme than 2.62666

p Oi Ei (Oi-Ei)^2/Ei 0 0.0625 30 25 1 1 0.25 93 100 0.49 2 0.375 149 150 0.006666667 3 0.25 107 100 0.49 4 0.0625 21 25 0.64 1 400 TS 2.626666667 critical value 9.487729037 p-value 0.622106582

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