A random sample of n = 1,000 observations from a binomial population contained 381 successes. You wish to show that p < 0.4. USE SALT State the null and alternative hypothesis. O Ho: P = 0.4 versus H₂: p > 0.4 O Ho: P < 0.4 versus H₂: p > 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 O Ho: P = 0.4 versus H₂: p < 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 Calculate the appropriate test statistic. (Round your answer to two decimal places.) z = Provide an α = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Z < State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate that p is less than 0.4. O Ho is not rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is insufficient evidence to indicate that p is less than 0.4.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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A random sample of n = 1,000 observations from a binomial population contained 381 successes. You wish to show that p < 0.4.
State the null and alternative hypothesis.
O Ho: P = 0.4 versus H₂: p > 0.4
O Ho: P < 0.4 versus H₂: p > 0.4
O Ho: P = 0.4 versus H₂: p = 0.4
O Ho: P = 0.4 versus H₂: p < 0.4
O Ho: P = 0.4 versus H₂: p = 0.4
Calculate the appropriate test statistic. (Round your answer to two decimal places.)
z =
USE SALT
Provide an α = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
Z >
Z <
State your conclusion.
O Ho is not rejected. There is insufficient evidence to indicate that p is less than 0.4.
O Ho is not rejected. There is sufficient evidence to indicate that p is less than 0.4.
O Ho is rejected. There is sufficient evidence to indicate that p is less than 0.4.
O Ho is rejected. There is insufficient evidence to indicate that p is less than 0.4.
Transcribed Image Text:A random sample of n = 1,000 observations from a binomial population contained 381 successes. You wish to show that p < 0.4. State the null and alternative hypothesis. O Ho: P = 0.4 versus H₂: p > 0.4 O Ho: P < 0.4 versus H₂: p > 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 O Ho: P = 0.4 versus H₂: p < 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 Calculate the appropriate test statistic. (Round your answer to two decimal places.) z = USE SALT Provide an α = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Z < State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate that p is less than 0.4. O Ho is not rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is insufficient evidence to indicate that p is less than 0.4.
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