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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 = 65 d. p⎯⎯ = 0.55; n = 392

Solutions

Expert Solution

a) = 44/83 = 0.5301

The test statistic is

  

P-value = P(Z < -1.11)

            = 0.1335

b) = 135/276 = 0.4891

The test statistic is

  

P-value = P(Z < -3.41)

            = 0.0003

c) The test statistic is

  

P-value = P(Z < -0.66)

             = 0.2546

d) The test statistic is

  

P-value = P(Z < -1.61)

             = 0.0537

orchestra answered 2 years ago
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