13. Foofy studies if hearing an argument in favor of an issue alters participants' at- titudes toward the issue one way or the other. She presents a 30-second argument to 8 people. In a national survey about this issue, µ = 50. She obtains X = 53.25 and s = 569.86. (a) What are H, and H,? (b) What is tobr? (c) With a = .05, what is terit? (d) If appropriate, compute the confidence interval for µ. (e) What conclu- sions should Foofy draw about the relationship?
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- Formulate the null and alternate hypotheses for the following situations. (identify the correct number θ0 and write H0: θ = θ0 and the appropriate analogous expression for H1).- The average farm size in a predominantly rural state was 280,851.8 square meter. The secretary of agriculture of that state assures that today it is less. - A statistics instructor believes that less than 20% of the students attended the opening function of a film. He surveys 84 of his students and finds that 11 attended the function. ThanksA researcher wants to explore the differences in health effects from two different types of sugar. She hypothesizes that artificial sweetener has lower long term health benefits than natural sugar. What is her null hypothesis? Fill in the blank. H0: μArtificalSweetener__________ μNaturalSugar Group of answer choices a) Less than b) Less than or equal to c) Greater than d) Greater than or equal toou are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was 1,000 returned questionnaires from the 1,200 meals each day. The results are as follows: NUMBER OF UNSATISFACTORY MEALS SAMPLE SIZEDecember 1 42 1,000December 2 47 1,000December 3 63 1,000December 4 48 1,000December 5 60 1,000December 6 62 1,000December 7 43 1,000December 8 62 1,000December 9 66 1,000December 10 53 1,000546 10,000 a. Determine thep⎯⎯, Sp, UCL, and LCL based on the questionnaire results, using a confidence interval of 95.5 percent, which is two standard deviations. (Round your answers to 4 decimal places.) b. What comments can you make…
- A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above isA report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?Also, what would be the P-value along with the To=__?
- A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is different than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 230 female factory workers and out of them 45 could not speak English. She then randomly selects 342 male factory workers and out of them 69 could not speak English. Test her claim at αα=0.05 to see if she was right. The correct hypotheses are: H0:pF≤pMH0:pF≤pMHA:pF>pMHA:pF>pM(claim) H0:pF≥pMH0:pF≥pMHA:pF<pMHA:pF<pM(claim) H0:pF=pMH0:pF=pMHA:pF≠pMHA:pF≠pM(claim) Since the level of significance is 0.05 the critical value is 1.96 and -1.96The test statistic is: (round to 3 places)The p-value is: (round to 3 places)The decision can be made to: reject H0H0 do not reject H0H0 The final conclusion is that: There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is…A nationwide survey claimed that at least 55% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at a=0.5 a.You would need exactly 46 parents to support spanking to refute the claim. b.You would need more than 46 parents to support spanking to refute the claim. c.You would need 46 or less parents to support spanking to refute the claim. d.You would need 47 or less parents to support spanking to refute the claim.A study on four-year colleges in the United States found that the freshmen retention rate is 80% and the annual tuition for private colleges is $33,635. Suppose that you want to use hypotheses tests to show that CSM is better than the average in freshmen retention rate and annual tuition. a) What claim could you test if you want to convince a student that CSM has a higher freshmen retention rate? b) What claim could you test if you want to convince a student that CSM has lower annual tuition?
- This problem is based on a study conducted by Stephens, Atkins & Kingston (2009). You wish to determine if the pain threshold is different when swearing compared to saying neutral nonsense words. For the study reported below, you asked each participant to plunge a hand into the icy water and keep it there as long as the pain would allow. In one condition, the participants repeated their favorite curse words while their hands were in the water. In the other condition, the participants repeated a neutral word (e.g., cantaloupe or platypus). You obtain the data shown below: Amount of Time (in seconds) Swear Words Neutral Words 49 37 67 61 59 47 59 45 28 32 87 80 89 68 77 66 55 50 87 72 47 46 58 64 64 56 64 63 65 58 55 56 41 49 50 52 Calculate the confidence interval and conduct the following 2-tailed hypothesis test with α=0.05.• Give the average for the swear word condition (in seconds): Mswear=• Give the average for the…State the null and alternative hypotheses for each of the following situations. (That is, identify the correct number μο and write to : μ analogous expression for Ha) Ao and the appropriate a. The average time workers spent commuting to work in Verona five years ago was 38.2 minutes. The Verona Chamber of Commerce asserts that the average is less now b. The mean salary for all men in a certain profession is $58,291. A special interest group thinks that the mean salary for women in the same profession is different. c. The accepted figure for the caffeine content of an 8-ounce cup of coffee is 133 mg. A dietitian believes that the average for coffee served in a local restaurants is higherExpress 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