Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p < 0.75 A sample of 290 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) p = 0.68 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (b) p = 0.71 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (c) p = 0.70 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (d) p = 0.77 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude that p < 0.75.
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Adi S.
(c) p = 0.70 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75. Do not reject H0. There is insufficient evidence to conclude that p < 0.75. (d) p = 0.76 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is sufficient evidence to conclude that p < 0.75. Reject H0. There is insufficient evidence to conclude that p < 0.75. Do not reject H0. There is insufficient evidence to conclude that p < 0.75.
Madhur L.
Consider the following hypothesis test. H0: μ ≥ 50 Ha: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x̄ = 49 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 50. Do not reject H0. There is sufficient evidence to conclude that μ ≥ 50. Do not reject H0. There is insufficient evidence to conclude that μ < 50. Reject H0. There is insufficient evidence to conclude that μ ≥ 50. (b) x̄ = 48 and s = 4.6 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 50. Do not reject H0. There is sufficient evidence to conclude that μ ≥ 50. Do not reject H0. There is insufficient evidence to conclude that μ < 50. Reject H0. There is insufficient evidence to conclude that μ ≥ 50. (c) x̄ = 51 and s = 5.0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 50. Do not reject H0. There is sufficient evidence to conclude that μ ≥ 50. Do not reject H0. There is insufficient evidence to conclude that μ < 50. Reject H0. There is insufficient evidence to conclude that μ ≥ 50.
Ariana N.
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