Consider the following hypotheses tests involving the χ2-distribution. (a) Determine the p-value for Ho: P(1) =...

Consider the following hypotheses tests involving the χ²-distribution.

(a) Determine the p-value for H_o: P(1) = P(2) = P(3) = P(4) = 0.25, with χ² = 10.95. (Give your answer bounds exactly.)
______< p <_____

(b) Determine the p-value for H_o: P(I) = 0.25, P(II) = 0.40, P(III) = 0.35, with χ² = 8.57. (Give your answer bounds exactly.)
_____ < p <______

Consider the null hypotheses for the following multinomial experiments. (Give your answers correct to two decimal places.)

(a) Determine the critical value and critical region that would be used in the classical approach to test H_o: P(1) = P(2) = P(3) = P(4) = 0.25, with α = 0.01.
χ² ______

(b) Determine the critical value and critical region that would be used in the classical approach to test H_o: P(1) = 0.25, P(2) = 0.40, P(3) = 0.35, with α = 0.025.
χ² _______

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orchestra answered 1 year ago

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