You wish to test the following claim (H) at a significance level of a = 0.002. Ho: P₁ = P2 Ha: P₁ P₂ You obtain 45 successes in a sample of size n₁ = 784 from the first population. You obtain -2 successes in a sample of size n₂ = 284 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the z-score of the critical value? (Report answer accurate to three decimal places.) What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

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Ho: P₁ = P2
You wish to test the following claim (H) at a significance level of a = 0.002.
H₁: P₁ P₂ You obtain 45 successes in a sample of size n₁ = 784 from the first population.
You obtain -2 successes in a sample of size n₂ = 284 from the second population. For this test, you
should NOT use the continuity correction, and you should use the normal distribution as an
approximation for the binomial distribution.
What is the z-score of the critical value? (Report answer accurate to three decimal places.)
What is the standardized test statistic for this sample? (Report answer accurate to three decimal
places.)
The test statistic is...
O in the critical region
O not in the critical region
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
Transcribed Image Text:Ho: P₁ = P2 You wish to test the following claim (H) at a significance level of a = 0.002. H₁: P₁ P₂ You obtain 45 successes in a sample of size n₁ = 784 from the first population. You obtain -2 successes in a sample of size n₂ = 284 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the z-score of the critical value? (Report answer accurate to three decimal places.) What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
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