4 6. 7 8. 10 The proportion of residents in a community who recycle has traditionally been 69%. A policy maker claims that the proportion is less than 69% 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 H, and the alternative hypothesis H, that the policy maker would use for this test. H,: 0 H: 0 OSO O20 D=0
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- The proportion of residents in a community who recycle has traditionally been 69%. A policy maker claims that the proportion is less than 69% 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: H1:7. 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 questionSurveys indicate that generally at least 61% of AIDS patientsdie within 15 years. In recent years, new forms of treatment have appeared andthis rate is considered to have been reduced. In a recent study of 79 patients infected with the virus, 36 died within 15 years. Based on the information, and takingthe result of the researches as null hypothesis, mark the alternative corresponding to thep-value of the test. (a) 0.0020(b) 0.8878(c) 0.0025(d) 0.4988(e) 0.9975
- A researcher conducts a two-sample t-test in order to test the following hypotheses: H0 :µa = µB vs. H1: µA > µB. She finds that the p-value is .075. Her colleague wishes to conduct the same hypothesis test, but will change his alternative hypothesis to µA=/=µB and will use α = .10. What can be said about the results of his test? (a) He will fail to reject the null hypothesis. (b) He will reject the null hypothesis. (c) Whether he rejects the null hypothesis depends on the brand of statistical software he uses. (d) There is not enough information provided to determine the results of his test.20) Based on data from previous years, the researchers were expecting that 15% of students would be low achieving, 60% would be average achieving, and 25% would be high achieving. State the hypothesis for this test? (Include a statement for both H0 and H1)A hypothesis test produces a t statistic of t = +2.19. If the researcher is conducting a two-tailed hypothesis test with α = .05, how large does the sample have to be in order to reject the null hypothesis?
- A researcher believes that more than half of college students average less than 6 hours of sleep per night during the week. Suppose she collected data to test her belief and found a p-value < 0.0001. Fill in the information for her hypothesis test below. Identify the null and alternative hypotheses: a. H0: μ = 6 H1: μf < 6 b. H0: μ = 0.5 H1: μ < 0.05 c. H0: p = 6 H1: p < 6 d. H0: p = 0.05 H1: pp < 0.05A company selling home furnaces claims that installingtheir new high efficiency furnace will “cut your heating bill in half.” A consumer agency collects data for a ran-dom sample of homes and plots this year’s heating costs with the new furnaces against previous costs with the oldfurnaces. Which are the most appropriate hypotheses totest the company’s claim?A) H0: b = 0, HA: b ≠ 0B) H0: b = 0, HA: b 7 0C) H0: b = 0, HA: b 6 0D) H0: b = 0, HA: b 6 0.5E) H0: b = 0.5, HA: b ≠ 0.5The worldwide market share for a web browser was 20.1% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser. At the 0.01 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.1%? Determine the null and alternative hypotheses. A.H0: P≥0.201; H1: P<0.201 B.H0: P=0.201; H1: P≠0.201 C. H0: P≠0.201; H1: P=0.201 D. H0: P≤0.201; H1: P>0.201 ZStat=__ (Round to two decimal places) p-value=____ __A__ the null hypothesis. There is __B__ evidence to conclude that the market share at teh university is __C__ the worldwide market share of 20.1%. A: Reject or do not reject B: insufficient or sufficient C: at least, less than, equal to, at most, not equal to, greater than
- A. Express the null hypothesis H0 and the alternative hypothesis Ha in notation form in the following scenarios. 1. The mean annual income of workers who are college graduates is greater than Php100,000 a year. 2. The percentage of women who watches sports on TV is not 40% as claimed by a researcher. 3. A random sample of 60 working students was taken in order to determine whether the average age of working students is different from 19 years.Which of the following is an example of a null hypothesis? a. The thickness of aluminum sheets averages is not .03 inches, as required. b. The average quantity of detergent put into a box by this filling machine is not 1 pound and this shipping company's average delivery time is different from 3 days. c. This industrial process makes windshields with an average length of 33 inches. d. This shipping company's average delivery time is different from 3 days. e. The average quantity of detergent put into a box by this filling machine is not 1 pound.Suppose we want to test the null hypothesis H0 : p1 - p2 = 0 against the alternative hypothesis H1 : p1 - p2 < 0 at the 2.5% level of significance. Suppose also that ^p1=0.8p^1=0.8, n1=500n1=500, ^p2=0.75p^2=0.75, n2=400n2=400. What is the p-value for this test? Select one: a. 0.0462 b. 0.0367 c. 0.9633 d. 0.025