1 Find the appropriate rejection regions for the large sample test statistic z in these cases (a) A left tailed test at the1 significance level (Round your answers to two decimal places If the test is one tailed, enter NONE for the unused region ) z z (b) A two tailed test with 0 01 (Round your answers to two decimal places If the test is one tailed, enter NONE for the unused region ) z z 2 An experiment was conducted to test the effect of a new drug on a viral infection After the infection was induced in 100 mice, the mice were randomly split into two groups of 50 The first group, the control group , received no treatment for the infection, and the second group received the drug After a 30 day period, the proportions of survivors, p 1 and p 2 , in the two groups were found to be 0 36 and 0 62, respectively (a) Is there sufficient evidence to indicate that the drug is effective in treating the viral infection Use 0 05 Find the test statistic and rejection region (Round your answers to two decimal places If the test is one tailed, enter NONE for the unused region ) test statistic z rejection region z z (b) Use a 95 confidence interval to estimate the actual difference ( p 1 p 2 ) in the survival rates for the treated versus the control groups (Round your answers to two decimal places ) to 3 Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendinopathy (AT), an inflammation and thickening of the Achilles tendon A study looked at the diameter (in mm) of the affected tendons for patients who participated in these types of sports activities Suppose that the Achilles tendon diameters in the general population have a mean of 5 96 millimeters (mm) When the diameters of the affected tendon were measured for a random sample of 33 patients, the average diameter was 9 50 with a standard deviation of 1 92 mm Is there sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5 96 mm Test at the 5 level of significance Find the test statistic and rejection region (Round your answers to two decimal places If the test is one tailed, enter NONE for the unused region ) test statistic z rejection region z z

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1. Find the appropriate rejection regions for the large-sample test statistic z in these cases.(a) A left-tailed test at the1% significance level. (Round your answers

1. Find the appropriate rejection regions for the large-sample test statisticzin these cases.(a) A left-tailed test at the1% significance level. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

(b) A two-tailed test with= 0.01. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

2. An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection, and the second group received the drug. After a 30-day period, the proportions of survivors, p₁ and p₂, in the two groups were found to be 0.36 and 0.62, respectively.

(a) Is there sufficient evidence to indicate that the drug is effective in treating the viral infection? Use = 0.05.

Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

test statistic	z =
rejection region	z >
	z <

(b) Use a 95% confidence interval to estimate the actual difference (p₁ p₂) in the survival rates for the treated versus the control groups. (Round your answers to two decimal places.) ________________ to ______________________

3. Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendinopathy (AT), an inflammation and thickening of the Achilles tendon. A study looked at the diameter (in mm) of the affected tendons for patients who participated in these types of sports activities. Suppose that the Achilles tendon diameters in the general population have a mean of 5.96 millimeters (mm). When the diameters of the affected tendon were measured for a random sample of 33 patients, the average diameter was 9.50 with a standard deviation of 1.92 mm. Is there sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm? Test at the 5% level of significance.

Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)