You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:P1 = P2 Ha:P1 < P2 You obtain a random sample of size 476 from the first population, with 344 successes. You obtain a random sample of size 398 from the second population, with 331 successes. What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.) p-value = The p-value is... less than a greater than a 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... Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is less than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.

You wish to test the following claim (H.) at a significance level of a = 0.002. H.:p1 – P2 = 0 P2 > 0 You obtain a sample from the first population with 384 successes and 63 failures. You obtain a sample from the second population with 606 successes and 116 failures. 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 = %3D The p-value is... O less than (or equal to) a greater than a 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... O There is enough evidence to show that the first population proportion is not greater than the second population proportion. There is not enough evidence to show that the first population proportion is not greater than the second population proportion. There is enough evidence to…

You wish to test the following claim (Ha) at a significance level of a = 0.001. H,:P = P2 Ha:pi > p You obtain 303 successes in a sample of size n = 488 from the first population. You obtain 159 successes in a sample of size ry = 266 from the second population. What is the test statistic for this sample? 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 There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population…

You are conducting a study to see if the proportion of men over 50 who regularly have their 0.01 prostate examined is significantly different from 0.52. You use a significance level of a Ho:p 0.52 H p0.52 You obtain a sample of size n = 715 in which there are 378 successes. 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) a Ogreater thana This p-value 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 proportion of men over 50 who regularly have their prostate examined is different from 0.52. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.52. The sample data support the claim that the proportion of men over 50 who regularly have their…