You wish to test the following claim (HaHa) at a significance level of α=0.05. Ho:p1=p2 Ha:p1≠p2You obtain 35 successes in a sample of size n1=514 from the first population. You obtain -0 successes in a sample of size n2=375 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 test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =
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Q: You wish to test the following claim (HaHa) at a significance level of α=0.10 Ho:p1=p2…
A:
You wish to test the following claim (HaHa) at a significance level of α=0.05.
Ho:p1=p2
Ha:p1≠p2
You obtain 35 successes in a
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
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- You wish to test the following claim (Ha) at a significance level of a = = 0.05. Ho: P₁ = P2 P2 Ha: P₁ You obtain 17.6% successes in a sample of size ni 598 from the first population. You obtain 11% successes in a sample of size n2 = 536 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 test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... = O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second…You wish to test the following claim (HaHa) at a significance level of α=0.002. Ho:p1=p2 Ha:p1≠p2 You obtain 383 successes in a sample of size n1=498 from the first population. You obtain 318 successes in a sample of size n2=443 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 test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is…You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:p=0.8Ho:p=0.8 Ha:p<0.8Ha:p<0.8You obtain a sample of size n=232n=232 in which there are 177 successful observations. 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 test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
- You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:p1=p2 Ha:p1<p2You obtain 16.4% successes in a sample of size n1=427 from the first population. You obtain 25.5% successes in a sample of size n2=330 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 test statistic for this sample? (Report answer accurate to two decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. There is not…You wish to test the following claim (Ha) at a significance level of α=0.005 Ho:p1=p2 Ha:p1>p2You obtain 734 successes in a sample of size n1=774 from the first population. You obtain 632 successes in a sample of size n2=696 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 test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002. Ho:p1=p2 Ha:p1≠p2 You obtain 480 successes in a sample of size n1=647 from the first population. You obtain 562 successes in a sample of size n2=737 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 standardized test statistic for this sample? (Report answer accurate to three decimal places.)
- You wish to test the following claim (Ha) at a significance level of α=0.10 Ho:p1=p2 Ha:p1≠p2You obtain 60.5% successes in a sample of size n1=650 from the first population. You obtain 57% successes in a sample of size n2=258 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 test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second…You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P1 = P2 Ha:P₁ > P2 = You obtain 48% successes in a sample of size n₁ = 790 from the first population. You obtain 43.9% successes in a sample of size n2 645 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 test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O…Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:p=0.5Ho:p=0.5 Ha:p≠0.5Ha:p≠0.5You obtain a sample of size n=190n=190 in which there are 85 successful observations. 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 test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:p1=p2 Ha:p1>p2You obtain 64.7% successes in a sample of size n1=286 from the first population. You obtain 57.7% successes in a sample of size n2=312 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 test statistic for this sample? 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