Þorgerður, a scientist, used a paired t-test to examine the effectiveness of a drug she is developing. She obtained a p-value =% 3D 0.005 and concluded that the drug was effective (she used a = 0.05). Suppose the drug does not actually work. Which of the following statements is correct? 1. Þorgerður should not reject the null hypothesis because the p-value is too large. 2. Туре I error осcurred.
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- Ex 9. Suppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative impact on their personal lives. a. Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage. b. Use critical values to perform the hypothesis test by setting α equal to .10, .05, .01, and .001Dr. Chapman conducted an experiment in which participants watched paint dry for 30 minutes twice, once being paid $1 and once being paid $30. When comparing the samples, he calculated t = 3.57. He assumed α = .01 with df = 5, so the tcv = ±4.032. Because the calculated value was: A. greater than the critical value, Dr. Chapman can reject the null hypothesis. B. greater than the critical value, Dr. Chapman failed to reject the null hypothesis. C. less than the critical value, Dr. Chapman failed to reject the null hypothesis. D. less than the critical value, Dr. Chapman can reject the null hypothesis.The vice-president of administration wonders whether employees are taking adequate amounts of vacation time. Employee burnout is a concern. Research suggests that an employee taking less than 1.4 weeks of vacation annually is very likely to experience burnout. Analyze the employee vacation data and conduct a hypothesis test with the following results: t = 2.93p = 0.0084 What reasons should the vice-president provide to the president to justify the recommendation on employee burnout? Based on the data, is the presence of employee burnout an issue that may negatively impact the company?
- For the T-test of the single sample, does the GPA of a group of students who were considered gifted in primary school is higher than the university's mean GPA? How do you state your hypothesis and then how do you decide based on the t-test if we should reject the null hypothesis?a researcher conducts a hypothesis test using a sample from an unknown population. if the t statistic has df= 35, how many individuals were in the sample?An Internet provider is trying to gain advertising deals and claims that the mean time the competitors' customers spend online per day is less than 33 minutes. You are asked to test this claim. (a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim? (b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim? (a) H0: ▼ pp muμ sigmaσ sigma squaredσ2 ▼ less than< greater than> less than or equals≤ greater than or equals≥ not equals≠ 33 Ha: ▼ sigma squaredσ2 muμ pp sigmaσ ▼ less than or equals≤ not equals≠ greater than> greater than or equals≥ less than< 33 (b) H0: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ less than< greater than or equals≥ not equals≠ greater than> less than or equals≤ 33 Ha: ▼ muμ sigma squaredσ2…
- A fisheries biologist collected a random sample of fish from a lake and conducted a chi-square goodness-of-fit test to see if the distribution of fish changed over time. The table below shows the distribution of fish that were put into the lake when it was originally stocked. Fish Type Trout Bass Perch Sunfish Catfish Percent 25% 25% 20% 15% 15% The biologist found evidence to reject the null hypothesis in favor of the alternative hypothesis. Which of the following represents the alternative hypothesis of the test?Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the proportion who reported having voted for Barack Obama in the 2008 presidential election was 0.61 Q: If I calculate a z test static of 4.84, and my alpha = 0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.) Options: A: fail to reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 B: reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 C: Reject the alternative hypothesis that the proportion of American Adults who voted for Obama in 2008 was not equal to 0.55 D: Fail to reject the alternative hypothesis that the proportion of American adults who voted for Obama in 2008 was not equal to 0.55The test statistic is t = 1.34, the critical value is t = 2.011. The decision would be to: Reject the null hypothesis or Support the null hypothesis or Retain the null hypothesis or Support the alternative hypothesis.
- Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?For a certain year a study reports that the percentage of college students using credit cards was 83%. A college dean of student services feels that this is too high for her university, so she randomly selects 50 students and finds that 40 of them use credit cards. a- At a = 0.10, is she correct about her university? Calculate the value of the test statistic and state the alternatives, and conclusion. b- What would your conclusion be if the p-value of the test is equal to 0.0? c- Estimate the population proportion with 90% confidence.Use the data below to test the claim that the weight loss was greater with the low fat diet compared to the low carbohydrate diet. Use a 10% level of significance. Low Fat Low Carbohydrate x¯1=3.7lbs 1=5.2lb n1=57 x¯1=2.7 lbs1=4.9lb n1=62 Identify the tail of the test. What is the P-value? Will the null hypothesis be rejected? Is the initial claim supported?