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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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.)A researcher wants to examine the effect of daily mental exercises on cognitive performance of people in early stages of Alzheimer's disease. She enrolled to her study n = 16 patients diagnosed with the early stage of Alzheimer's disease and all participants conducted daily mental exercises for a month. At the end of the program all enrolled patients took the MMSE test (i.e., Mini-Mental State Examination). The results show that the sample mean on the MMSE test was M = 23.6 with the standard deviation, s = 7. It is known that the MMSE mean in the population of patients with early Alzheimer's disease is µ = 20. Do these data show a significant effect of daily mental exercises on cognitive performance in early stages of Alzheimer's disease?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. 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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