Which of the following statements are not true? O A statistical hypothesis is a claim about the value of a single parameter, about the values of several parameters. O In any hypothesis-testing problem, there are two contradictory hypotheses under consideration. O A test of hypothesis is a method for using sample data to decide whether the null hypothesis should be rejected. O A type I error consists of not rejecting the null hypothesis HO when HO is false. None of the above statements are true.
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A: Given : A researcher takes a sample from a population and computes a statistic for the sample.
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A: Type 1 error is defined as rejecting the null hypothesis when the null hypothesis is true.
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A: 14. The appropriate null hypothesis would be identified.
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A: Answer - Which of the following is an accurate definition of a Type I error?
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- Which of the following is not an interpretation of the null hypothesis: a. The "no effect" value of the population parameter. b. The "supposed value" of the population parameter. c. The hypothesis on which the burden of proof is placed. d. All values of the parameter not specified under the alternative hypothesis. e. All of the above.Which of the following statement is CORRECT? A. If the null hpothesis is false, the sample means are considered the same. B. μ(mu)1 will never be equal to μ(mu)2 C. If the null hypothesis is true, there is a difference between population means. D. If the null hypothesis is true, there is no difference between the population means.Which of the following would be an appropriate null hypothesis? A. the population mean is equal to 3.4 B. The population mean is not equal to 3.4 C. The sample mean is greater than 3.4 D. The population mean is greater than 3.4
- A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.67, but given the number of people you've talked to about this same issue, you believe it is less than 0.67. If you conduct a hypothesis test, what will the null and alternative hypotheses be? Question 1 options: 1) HO: p ≤ 0.67HA: p > 0.67 2) HO: p = 0.67HA: p ≠ 0.67 3) HO: p < 0.67HA: p ≥ 0.67 4) HO: p ≥ 0.67HA: p < 0.67 5) HO: p > 0.67HA: p ≤ 0.67To establish the alternative hypothesis, a theory that directly contradicts the research hypothesis is called. a.Statistical hypothesis b.Null hypothesis c.Alternative hypothesis d.None of theseWhich of the following would be an appropriate null hypothesis? A. The mean age of a sample is equal to 30. B. The mean age of a population is greater than 30. C. The mean age of a population is equal to 30. D. The mean age of a sample is greater than or equal to 30.
- The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H 0: μ ≥ 40,000 H a: μ < 40,000 b. H 0: μ ≤ 40,000 H a: μ > 40,000 c. H 0: μ < 40,000 H a: μ ≥ 40,000 d. H 0: μ > 40,000 H a: μ ≤ 40,000Let p1 = population proportion for population 1, p2 = population proportion for population 2, ... and pk = population proportion for population k. Consider the following null hypothesis: H0: p1 = p2 = ... = pk. Which of the following statements is correct? a. The alternative hypothesis to the null hypothesis stated above must be: Ha: Not all population proportions are equal. b. If the sample data and the chi-square test computations indicate H0 cannot be rejected, we cannot detect a difference among the k population proportions. c. If the sample data and the chi-square test computations indicate H0 can be rejected, we have the statistical evidence to conclude that one or more population proportions differ from the other population proportions. d. All of the above.1. Suppose a researcher wants to test whether the proportion of people that reflect a certain characteristic in a population, population A, is lower than the proportion of people with that characteristic in another population, population B. The researcher plans to perform a two-sample z‑test for two proportions, testing the null hypothesis, ?0:?A−?B≥0, against the alternative hypothesis, ?1:?A−?B<0, where ?A and ?B represent the proportions of people reflecting the characteristic of interest in population A and population B, respectively. The population size exceeds 5000 in population A and in population B. The researcher selects a simple random sample from each population and records the proportion of people in each sample that reflect the characteristic of interest. The sample results are summarized in the table. Population Sample size Sample proportion A ?A=44 ?̂A=0.6364 B ?B=70 ?̂B=0.7714 Given that the samples were randomly selected from large populations and the…
- Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the appropriate parameter (μ or p) Part 1) The chance of developing breast cancer is under 11% for women. a) H0: μ < 11, Ha: μ ≥ 11 b) H0: μ ≥ 11, Ha: μ < 11 c) H0: p < 0.11, Ha: p ≥ 0.11 d) H0: p = 0.11, Ha: p ≠ 0.11 e) H0: μ = 11, Ha: μ ≠ 11 f) H0: μ ≤ 11, Ha: μ > 11 g) H0: p ≤ 0.11, Ha: p > 0.11 h) H0: p ≥ 0.11, Ha: p < 0.11 Part 2)Private universities' mean tuition cost is more than $20,000 per year. a) H0: p ≤ 20,000, Ha: p > 20,000 b) H0: μ > 20,000, Ha: μ ≤ 20,000 c) H0: p = 20,000, Ha: p ≠ 20,000 d) H0: μ = 20,000, Ha: μ ≠ 20,000 e) H0: p > 20,000, Ha: p ≤ 20,000 f) H0: μ ≤ 20,000, Ha: μ > 20,000 g) H0: p ≥ 20,000, Ha: p < 20,000 h) H0: μ ≥ 20,000, Ha: μ < 20,0007. A manufacturer of balloons claims that p, the proportion of its balloons that burst when inflated to a diameter of up to 12 inches, is no more than 0.05. Some customers have complained that the balloons are bursting more frequently, If the customers want to conduct an experiment to test the manufacturer’s claim, which of the following hypotheses would be appropriate? (A) H0 : p ≠ 0.05, Ha : p = 0.05 (C) H0 : p = 0.05, Ha : p ≠ 0.05 (B) H0 : p = 0.05, Ha : p > 0.05 (D) H0 : p = 0.05, Ha : p < 0.05 If you feel the answer is none of the choices given, submit no answer to the questionAnswer A, B1, and B2: A. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. B. Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level…