Consider the following hypotheses: H0: p ≥ 0.52 HA: p < 0.52 Which of the following sample information enables us to reject the null hypothesis at α = 0.01 and at α = 0.10? (You may find it useful to reference the appropriate table: z table or t table) (Round all intermediate calculations to at least 4 decimal places.) α = 0.01 α = 0.10 a. x = 42; n = 100 Do not reject H0 or Reject H0 Do not reject H0 or Reject H0 b. x = 120; n = 279 Reject H0 or Do not reject H0 Reject H0 or Do not reject H0 c. p̄ = 0.47; n = 52 Do not reject H0 or Reject H0 Do not reject H0 or Reject H0 d. p̄ = 0.47; n = 455 Do not reject H0 or Reject H0 Do not reject H0 or Reject H0
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Step 1: Calculate the test statistic for each part of the question using the formula: \[ \text{Test Statistic} = \frac{\text{Sample Proportion} - \text{Population Proportion}}{\sqrt{\frac{\text{Population Proportion} \times (1 - \text{Population Show more…
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Consider the following hypotheses: H0: μ = 1,400 HA: μ ≠ 1,400 The population is normally distributed with a population standard deviation of 430. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round "test statistic" values to 2 decimal places and "p-value" to 4 decimal places.) Test statistic p-value a. x̄ = 1,500; n = 110 Do not reject H0 Reject H0 b. x̄ = 1,500; n = 250 Reject H0 Do not reject H0 c. x̄ = 1,180; n = 32 Reject H0 Do not reject H0 d. x̄ = 1,260; n = 32 Do not reject H0 Reject H0
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Consider the following hypotheses: H0: μ = 9,100 HA: μ ≠ 9,100 The population is normally distributed with a population standard deviation of 700. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round "test statistic" values to 2 decimal places and "p-value" to 4 decimal places.) Test statistic p-value a. x̄ = 9,190; n = 105 Reject H0 Do not reject H0 b. x̄ = 9,190; n = 255 Reject H0 Do not reject H0 c. x̄ = 8,830; n = 37 Reject H0 Do not reject H0 d. x̄ = 8,860; n = 37 Do not reject H0 Reject H0
The test statistic of z = 1.46 is obtained when testing the claim that p ≠ 0.868. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0? a. This is a - right-tailed - two-tailed - left-tailed test. b. P-value = ____ (Round to three decimal places as needed.) c. Choose the correct conclusion below. A. Fail to reject H0. There is not sufficient evidence to support the claim that p ≠ 0.868. B. Reject H0. There is not sufficient evidence to support the claim that p ≠ 0.868. C. Fail to reject H0. There is sufficient evidence to support the claim that p ≠ 0.868. D. Reject H0. There is sufficient evidence to support the claim that p ≠ 0.868.
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