What is the p-value and the correct decision for this test?
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Suppose we want to test the null hypothesis H0 : p = 0.40 against the alternative hypothesis Ha : p < 0. Suppose also that we observed 18 successes in a random sample of 50 subjects and the level of significance is 0.05. What is the p-value and the correct decision for this test?
Given : n=50 , X=18 , p0=0.40 , α=0.05
Our aim is to find the p-value and the correct decision for this test.
Here , we use the one-proportion Z-test.
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- You wish to test the following claim (Ha) at a significance level of a = 0.02. H.: P1 - P2 = 0 H.:P1 - P2I need help with this one please. Thank you!!You wish to test the following claim (Ha) at a significance level of a = 0.002. = Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.A student at a university wants to determine if the proportion of students that use iPhone's is less than 0.38. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.38, Alternative Hypothesis: p < 0.38. If the student randomly samples 29 other students and finds that 12 of them use iPhone's, what is the test statistic and p-value?A student performs a test of Ho p = 0.75 versus H, p<0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct. IncorrectPreviously, 3% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 3% today. She randomly selects 145 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? Họ: P = 0.03 versus H4: p < 0.03 (Type integers or decimals. Do not round.) Because npo (1- Po) =|| 10, the normal model V be used to approximate the P-value. (Round to one decimal place as needed.)You are conducting a hypothesis test where alternative (research) hypothesis is that mu is greater than 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if you were testing, instead, at the 0.10 significance level?A fast-food restaurant manager wants to know if more than 60% of her customers that request a water cup actually fill the cup with soda instead of water. The manager would like to carry out a test at the a = 0.10 significance level of ho p=.60 ha p (greater than) .60 where p = the true proportion of customers that fill a water cup with soda rather than water. During the next month, the manager collected data from a random sample of 90 customers that ask for a water cup by observing that 63 of the customers filled the water cup with soda. Which of the following is the standardized test statistic for this hypothesis test? options 1.9365 2.0702 – 1.9365 – 2.0702A student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Becaus the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.A nationwide survey of working adults indicates that out of 100 adults, 50 of them are satisfied with their jobs. The president of a large company believes that more than this number of employees at his company are satisfies with their jobs. To test his belief, he surveys a random sample of 100 employees, and 59 of them report that they are satisfied with their jobs. Do you support president's statement about the employee’s satisfaction? (Use a= 0.05 level of significance.) Find H0 and Ha. Find Test Statistic Identify Decision Identify ConclusionA new treatment for a certain disease is claimed to be effective in more than 80 % of cases . To test this claim the treatment was given to 100 randomly selected patients . The treatment was effective in 85 out of the 100 patients . What is the conclusion at a 5 % level of significance ? A. Reject the null hypothesis .There is sufficient evidence to claim that the treatment is effective in more than 80 % of cases B. Reject the null hypothesis .There is not sufficient evidence to claim that the treatment is effective in more than 80 % of cases C. Fail to reject the null hypothesis. There is sufficient evidence to claim that the treatment is effective in more than 80 % of cases D. Fail to reject the null hypothesis. There is not sufficient evidence to claim that the treatment is effective in more than 80 % of casesIf significance level=0.05 and p-value=0.07, do you reject or fail to reject the null hypothesis H0?SEE MORE QUESTIONS
