When testing H0 versus Haat α level of significance, which of the following statements is correct?
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When testing H0 versus Haat α level of significance, which of the following statements is
correct?
(i) One cannot only rely on the P-value to make decision.
(ii) The P-value approach to hypothesis testing leads to more frequent rejection to H0 than the classic
approach using rejection regions.
(iii) The P-value approach to hypothesis testing leads to less frequent rejection to H0 than the classic
approach using rejection regions.
(iv) When the P-value is greater than α, reject H0.
(v) When the P-value is less or equal to α, reject H0.
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- An institute conducted a clinical trial of its methods for gender selection. The results showed that 187 of 338 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.01 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? OA. Ho:p>0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p20.5 B. Ho: p=0.5 H₁: p > 0.5 D. Ho: p=0.5 H₁: p=0.5 Find the test statistic. Test statistic = (Round to two decimal places as needed.)A researcher is investigating the claim that the proportion of television viewers who identify one of four shows as their favorite is the same for all four shows. A x² goodness-of-fit test at a significance level of a = 0.05 produced the test statistic x? = 8.95 with a corresponding p-value of 0.03. Which of the following is correct? There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. There is not sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. There is sufficient evidence to reject the null hypothesis at the 0.05 level since the p-value is less than the significance level. D There is not sufficient evidence to reject the null hypothesis at the 0.05 level since the p-value is less than the significance level. E There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the…A new drug is tested in two peer-reviewed studies, A and B. Both studies provide evidence that the new drug is an improvement (The null hypothesis, that the new drug does not help, is rejected). But the researchers who conducted study A report a p-value of 8.2%, the team from study B obtained a p-value of only 2.3%. Which study provides the stronger evidence in favor of the new drug? Choose the most appropriate answer. a. Study B, because follow-up studies usually provide stronger evidence. b. Study A, because their p-value is bigger. c. Study A, because it was done by real researchers, and B only by a 'team'. d. Study B, because their p-value is smaller. e. The evidence from both studies is too weak.
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- (a) A new drug is being compared with a standard drug for treating a particular illness. In a clinical trial, a group of two hundred patients was split into two equal groups receiving either the new drug or the standard drug. The condition improved in 85% of patients who received the new drug and in 72% of patients who received the old drug. Carry out an appropriate hypothesis test at the 5% significance level to investigate whether the new drug is better than the standard drug. Construct a 95% confidence interval for the difference in the two proportions.Is there a relationship between the number of votes received by candidates for public office and the amount spent on their campaigns? Candidate Amount spent (000) Votes received (000)Weber $3 14Taite $4 7Spencer $2 5Lopez $5 12Using a 0.01 significance level, do the formal hypothesis test (using critical values).Remember to show your steps (including all relevant information) show the steps on how to solve itAn institute conducted a clinical trial of its methods for gender selection. The results showed that 153 of 276 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? O A. Ho: p=0.5 H₂₁: p20.5 O C. Ho: p=0.5 H₁: p=0.5 O B. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p > 0.5 Find the test statistic. Test statistic = Find the P-value. P-value = (Round to four decimal places as needed.) Determine the proper conclusion. Choose the correct answers below. Since the P-value is (Round to two decimal places as needed.) than the significance level, evidence that the method used is effective in increasing the likelihood of a boy. the null hypothesis. There is
- Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.Previously, 10.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 75 workers and finds that 16 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level of significance. What are the null and alternative hypotheses? 0.104 versus H1: p Ho: p P = (Type integers or decimals. Do not round.) > 0.104 %3D Because npo (1- Po) 10, the normal model be used to approximate the P-value. %3D (Round to one decimal place as needed.)Research by Harvard Medical School experts suggests that boys are more likely to grow out of childhood asthma when they hit their teenage years. Scientists followed over 1000 children between ages of 5 and 12, all of whom had mild to moderate asthma. By the age of 18, 14% of girls and 27% of boys seems to have grown out of asthma. Suppose their analysis was based on 500 girls and 500 boys.(a) Do the hypothesis testing at 5% level of significance to test whether the proportion of boys who grow out of asthma in their teenage years is more than that of girls.(b) Find beta(0.30, 0.15)