1. Hо: и3 10.2 2. Но: 3. Но: На: На: и + 32.6 На: и > 45
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- A psychologist is conducting a study to determine whether a new therapy is safe and effective at treating PTSD. If the null hypothesis is Ho: the new therapy is safe and effective, and the alternative hypothesis is H₁: the new therapy is not safe and effective, state the Type I and Type II errors.Test the null hypothesis H0 : β1 = β2 against the alternative H1 : β1 < β2 at 1% significance level.The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. State the null hypothesis H0 and the alternate hypothesis H. np? nq? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? Interpret your conclusion in the context of the application.
- In the past decade there have been concerns about the amount of mercury in fish. To investigate the proportion of contaminated fish in various regions, scientists took a sample of fish off the coast of China and off the coast of Brazil.† Assume pC represents the true population proportion of fish off the coast of China that are contaminated and pB represents the true population proportion of fish off the coast of Brazil that are contaminated. (a) Which of the following is the correct null hypothesis for this situation? μC = μB pC = pB pC ≠ pB p̂C = p̂B (b)Which of the following is the correct alternative hypothesis to test if the population proportion of contaminated fish off the coast of China is different than the population proportion of contaminated fish off the coast of Brazil? p̂C > p̂B pC > pB pC < pB pC ≠ pBWhen is a researcher at risk of making a Type II error? a. whenever H1 is rejected b. whenever H0 fails to be rejected c. whenever H0 is rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.The average American consumes 9.8 liters of alcohol per year. Does the average college student consume less alcohol per year? State your null and alternative hypothesis H0:H0: Ha:Ha:
- When is a researcher at risk of making a Type II error? a. whenever H0 is rejected b. whenever H1 is rejected c. whenever H0 fails to be rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.1) The manager at Gre3n randomly samples 50 glass juicing bottles of hemp seed smoothies. The manager is concerned that the glass juicing bottles may be filled to an amount different from 24 ounces. a) State suitable null and alternative hypotheses. b) How can the manager make a Type I error? c) How can the manager make a Type II error? d) Will the hypothesis test procedure prove that the glass juicing bottles are filled to an amount different from 24 ounces?20. Which of the following is a null hypothesis? a. Pregnant women who drink cranberry juice will have lower urine bacterial counts than those who do not drink cranberry juice. b. The urine bacterial count of pregnant women who drink cranberry juice will be lower or equal to that of pregnant women who do not drink the juice. c. There will be a difference between ingestion of cranberry juice and among pregnant women who do and do not have high urine bacterial counts.
- The proportion of residents in a community who recycle has traditionally been 70% . A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated, and the policy maker wishses to carry out a hypothesis test. State the null hypothesis H0 and the alternative hypothesis H1 that the policy maker would use for this test. H0 : H1 :A group of scientist test the claim that hepititis C can live on a straw for longer than on a water bottle, on adverage. A) Write the null and alternative hypothesis. B) If the scientists commits a Type 1 error, write that error in context. C) If the scientist commits Type 2 error, write that error in context. D) If level of significance is 0.05 and the P-Value=0.017, write the conclution in context.4. You complete a hypothesis test using alpha=.05, and based on the evidence from the sample, your decision is to reject the null hypothesis. Which of the following is true? a. You have for sure made a Type I error. b. You have for sure made a Type II error. c. You might have made a Type I error, but the probability is less than5%. d. You have for sure made the correct decision.