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 _______

Expert Solution

orchestra answered 1 year ago

Consider the following hypotheses. Ho p<0.16 H, p>0.16 Given that p=0.2 n = 140 and a=005,...

Consider the following hypotheses. Ho p<0.16 H, p>0.16 Given that p=0.2 n = 140 and a=005, answer the following questions a. What conclusion should be drawn? b. Determine the p-value for this test. a. Determine the critical value(s) of the test statistic

For each of the following tests of hypotheses, determine whether the null hypotheses should be rejected....

For each of the following tests of hypotheses, determine whether the null hypotheses should be rejected. Use the classical method by finding the lower xL and upper xU limits for two-tail tests (or one of the two for a one-tail test). Additionally, don't forget to use a t-value (rather than a z-value) when n<30. A) Ho: µ = 6,000 Ha: µ ≠ 6,000; n = 70; x = 6,150; σ = 2,600; α = .01 B) Ho: µ = 50...

Consider the following hypotheses: H0: p ≥ 0.47 HA: p < 0.47 Compute the p-value based...

Consider the following hypotheses: H0: p ≥ 0.47 HA: p < 0.47 Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z tableor t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) p-value a. x = 46; n = 121 b. x = 105; n = 269 c. p⎯⎯p¯ = 0.40; n = 62...

Consider the following hypotheses: H0: p ≥ 0.59 HA: p < 0.59 Compute the p-value based...

Consider the following hypotheses: H0: p ≥ 0.59 HA: p < 0.59 Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) p-value a. x = 44; n = 83 b. x = 135; n = 276 c. p⎯⎯ = 0.55; n =...

Consider the following hypotheses: H0: p ≥ 0.48 HA: p < 0.48 Compute the p-value based...

Consider the following hypotheses: H0: p ≥ 0.48 HA: p < 0.48 Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) p-value a. x = 50; n = 122 b. x = 118; n = 329 c. p⎯⎯p¯ = 0.42; n =...

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Consider the following hypotheses: H0: μ ≤ 520 HA: μ > 520 Find the p-value for...

Consider the following hypotheses: H0: μ ≤ 520 HA: μ > 520 Find the p-value for this test based on the following sample information. a. x¯ = 533; s = 40; n = 19 p-value 0.10 0.05 p-value < 0.10 0.01 p-value < 0.025 0.025 p-value < 0.05 p-value < 0.01 b. x¯ = 533; s = 40; n = 38 0.05 p-value < 0.10 0.01 p-value < 0.025 p-value < 0.01 0.025 p-value < 0.05 p-value 0.10 c. x¯ = 533; s = 32; n = 30...

Consider the following hypotheses: H0: μ ≤ 330 HA: μ > 330 Find the p-value for...

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Consider the following hypotheses: H0: μ = 59 HA: μ ≠ 59 Find the p-value for...

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Consider the following hypotheses: H0: μ ≤ 370 HA: μ > 370 Find the p-value for...

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