Question

A hospital reported that the normal death rate for patients with extensive burns (more than 40% of skin area) has been significantly reduced by the use of new fluid plasma compresses. Before the new treatment, the mortality rate for extensive burn patients was about 60%. Using the new compresses, the hospital found that only 44 of 95 patients with extensive burns died. Use a 1% level of significance to test the claim that the mortality rate has dropped since using the new treatment.

a.) What are we testing in this problem?

-single mean

-single proportion

b.) What is the level of significance?______

c.) State the null and alternate hypotheses.

-H0: μ ≤ 0.6; H1: μ > 0.6

-H0: p ≤ 0.6; H1: p > 0.6

-H0: μ ≥ 0.6; H1: μ < 0.6

-H0: μ = 0.6; H1: μ ≠ 0.6

-H0: p = 0.6; H1: p ≠ 0.6

-H0: p ≥ 0.6; H1: p < 0.6

d.) What sampling distribution will you use?

-The Student's t.

-The standard normal.

e.) What is the value of the sample test statistic? (Round your answer to two decimal places.) ____

f.) Estimate the P-value.

-P-value > 0.250

-0.125 < P-value < 0.250

-0.050 < P-value < 0.125

-0.025 < P-value < 0.050

-0.005 < P-value < 0.025

-P-value < 0.005

g.) Sketch the sampling distribution and show the area corresponding to the P-value.

h.) Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

-At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

-At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.

-At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

-At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

i.) Interpret your conclusion in the context of the application.

-There is sufficient evidence at the 0.01 level to conclude that the mortality rate has dropped.

-There is insufficient evidence at the 0.01 level to conclude that the mortality rate has dropped.

Answer 1