If significance level=0.05 and p-value=0.07, do you reject or fail to reject the null hypothesis H0?
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If significance level=0.05 and p-value=0.07, do you reject or fail to reject the null hypothesis H0?
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- Based on certain data, a null hypothesis is rejected atthe 0.05 level of significance. Would it also be rejectedat the(a) 0.01 level of significance;(b) 0.10 level of significance?Previously, 13.6% 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 70 workers and finds that 12 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? P = Ho: p 0.136 versus H1: 0.136 p > (Type integers or decimals. Do not round.) Because npo (1- Po) < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.) ERest ConverterWhen a result is not extreme enough to reject the null hypothesis, explain why it is wrong to conclude that your result supports the null hypothesis.
- If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True FalsePreviously, 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.)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.)
- Can you give a specific example of possible wording of both a null and research hypothesis?State if you would retain or reject the null hypothesis 7. p>.05 8. p<.05 9. critical value = + and -1.96, test statistic = -1.98 10. critical value = + 1.65, test statistic = -1.90The Department of Health plans to test the lead level in a specific park. Because a high lead level is harmful to children, the park will be closed if the lead level exceeds the allowed limit. The department randomly selects several locations in the park, gets soil samples from those locations, and tests the samples for their lead levels. Write the correct null hypothesis (H_O) for this problem. * Your answer Write the correct alternative hypothesis for this problem. * Your answer Which of the following decisions would result from the Type I error? * None of these Keeping the park open when the lead levels are in excess of the allowed limit. Closing the park when the lead levels are in excess of the allowed limit Closing the park because of the increased noise level in the neighborhood Keeping the park open when the lead levels are within the allowed limit
- (e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O NoSuppose you want to test the claim that a population mean equals 40. (a) State the null hypothesis. H0: μ > 40 H0: μ < 40 H0: μ = 40 H0: μ ≠ 40 H0: μ ≥ 40 (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 40. H1: μ > 40 H1: μ < 40 H1: μ = 40 H1: μ ≠ 40 H1: μ ≥ 40 (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 40. H1: μ > 40 H1: μ < 40 H1: μ = 40 H1: μ ≠ 40 H1: μ ≥ 40When a researcher conducts an experiment and fails to find significant results, what should she conclude? The research hypothesis is false The current data are inconclusive with regards to the research hypothesis The null hypothesis is true The null hypothesis is false