new treatment for a certain type of cancer. The average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of six years. Although the survival time has tripled, the results are not statistically significant even at the 0.10 significance level. The explanation is

new treatment for a certain type of cancer. The average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of six years. Although the survival time has tripled, the results are not statistically significant even at the 0.10 significance level. The explanation is

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
Select a significance level α and reject the null-hypothesis if the p-value is less than α. Explain, in complete sentences, your findings: Is there a statistically significant association (at α level) between the provided genes? What is the magnitude and the direction of the association?
Suppose the results indicate that the null hypothesis should not be rejected; thus, it is possible that a type II error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Choose a 0.01 significance level, instead of a 0.05 significance level. Increase the sample size.
Recently, a large academic medical center determined that 9 of 18 employees in a particular position were female, whereas 45% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general workforce? Question content area bottom Part 1 What are the correct hypotheses to test to determine if the proportion is different? A. H0: π≠0.45; H1: π=0.45 B. H0: π≥0.45; H1: π<0.45 C. H0: π≤0.45; H1: π>0.45 D. H0: π=0.45; H1: π≠
A type 2 error occurs when a treatment actually does have an effect on the scores but the effect was not large enough to reject the bill hypothesis. True or false?
Recently, a large academic medical center determined that 13 of 20 employees in a particular position were female, whereas 41% of the employees for this position in the general workforce were female. At the 0.01 level of significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general workforce? Question content area bottom Part 1 What are the correct hypotheses to test to determine if the proportion is different? A. H0: π≤0.41; H1: π>0.41 B. H0: π≥0.41; H1: π<0.41 C. H0: π=0.41; H1: π≠0.41 D. H0: π≠0.41; H1: π=0.41 Part 2 Calculate the test statistic. ZSTAT=enter your response here (Type an integer or a decimal. Round to two decimal places as needed.) Part 3 What is the p-value? The p-value is enter your response here. (Type an integer or a decimal. Round to three decimal places as needed.) Part 4 State…
If a hypothesis is rejected at significance level α = 0.01, is it possible that the hypothesis is not rejected if the same test was done at significance level α = 0.05 (with everything else staying the same)?
Is College Worth It? In the New York Times article “College Graduates Fare Well in Jobs Market, Even through Recession,” C. Rampell noted that college graduates have suffered through the recession and lackluster recovery with remarkable resilience. Of a random sample of 1020 college graduates, 35 were unemployed; and of a random sample of 1008 high-school graduates (no college), 69 were unemployed. a. At the 1% significance level, do the data provide sufficient evidence to conclude that college graduates have a lower unemployment rate than high-school graduates? b. Find and interpret a 98% confidence interval for the difference in unemployment rates of college and high-school graduates.