What can be concluded at the αα = 0.05 level of significance?
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The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 343 convicted sex offenders who were also drug addicts, 24 of them became repeat offenders. What can be concluded at the αα = 0.05 level of significance?
- The null and alternative hypotheses would be:
Ho: (please enter a decimal)
H1: (Please enter a decimal)
- The test statistic = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
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- If the hypothesis test results in a p-value of 0.08, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.95, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.02, would we be able to reject the null hypothesis if we were using alpha=0.01?An economist has collected data on the number of house foreclosures. The published share of housing units with a foreclosure filing is 0.47%. The economist believes, based on the data she collected, that the share of housing units with a foreclosure filing is different from 0.47%. What are the null and alternative hypotheses? Select the correct answer below: H0: μ≠0.47%; Ha: μ=0.47% H0: μ=0.47%; Ha: μ≥0.47% H0: μ=0.47%; Ha: μ≤0.47% H0: μ=0.47%; Ha: μ≠0.47%The 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
- The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. UpperH0: ▼ muμ sigmaσ pp ▼ not equals≠ less than< greater than> equals= 3 Upper H1: ▼ muμ sigmaσ pp ▼ not equals≠ equals= less than< greater than> 3 (b) Both engines took exactly 17 minutes to seize. What conclusion might the magazine make based on this evidence? A. The infomercial's claim is true. The Informericial not trueA researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%An automobile manufacturer claims that the average gas mileage of a new model is 35 miles per gallon (mpg). A consumer group is skeptical of this claim and thinks the manufacturer may be overstating the average gas mileage. If µ represents the true average gas mileage for this new model, which of the following gives the null and alternative hypotheses that the consumer group should test?
- The manufacturer of Lakas Papaya cleansing soap claimed that their product was effective in making the facial skin blemish-free of at least 93% of users who tested it for a period of 1 week. In a sample of 350 people who had problems with their facial skin, the soap provided blemish-free skin for 295 people. Which of the following represents the alternative hypothesis for this problem? A. Ha: p = 0.93B. Ha: p < 0.93C. Ha: p > 0.93D. H_a: p ≠ 0.93According to a food website, the mean consumption of popcorn annually by Americans is 63 quarts. The marketing division of the food website unleashes an aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below. (a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Upper H 0H0: ▼ muμ sigmaσ pp ▼ equals= not equals≠ nothing Upper H 1H1: ▼ sigmaσ muμ pp ▼ less than< greater than> not equals≠ nothing (Type integers or decimals. Do not round.) (b) A sample of 835 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department.The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 116, x = 12.5, and s = 6.35. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)State the appropriate null and alternative hypotheses. H0: ? = 15Ha: ? ≠ 15H0: ? = 15Ha: ? > 15 H0: ? = 15Ha: ? ≤ 15H0: ? = 15Ha: ? < 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject…
- A paint manufacturer advertises that one gallon of its paint will cover 400 square feet of an interior wall. Some local painters suspect the average coverage is considerably less and decide to conduct an experiment to find out. Which of the following are the correct null and alternative hypotheses to be tested? A construction company has a bid on two large construction projects. The president believes that the chances of winning the first contract is 55% and the chances of winning the second contract is 30% and that winning either contract is independent of winning the other. What are the chances the company will not win either contract? Spelling mistakes in a text are either “nonword errors” or “word errors.” A nonword error produces a string of letters that is not a word, such as “the” typed as “teh.” Word errors produce the wrong word, such as “loose” typed as “lose.” Nonword errors make up 25% of all errors. A human proofreader will catch 80% of nonword errors and 50% of…The designer of a new sheet metal stamping machine claims that their new machine can turn out a certain product faster than the machine now in use. Nine independent trials of stamping the same item on each machine gave the following results on times to completion:. Standard Machine: n1 = 9, x̄1 = 35.22 seconds, s1² = 24.4375 seconds² New Machine: n2 = 9, x̄2 = 31.56 seconds, s2² = 20.0275 seconds² Given the aforementioned data, the hypotheses H0: µ1 - µ2 ≤ 0 and H1: µ1 - µ2 > 0, α = 0.05, and assuming that the both machines have the same variance, is there evidence to substantiate the designer’s claim? a. The t test statistic equals 1.65, so there is sufficient evidence to substantiate the designer’s claim. b. The z test statistic equals 1.75, so there is insufficient evidence to substantiate the designer’s claim. c. The t test statistic equals 1.75, so there is sufficient evidence to substantiate the designer’s claim. d. The t test statistic…The designer of a new sheet metal stamping machine claims that their new machine can turn out a certain product faster than the machine now in use. Nine independent trials of stamping the same item on each machine gave the following results on times to completion:. Standard Machine: n1 = 9, x̄1 = 35.22 seconds, s1² = 24.4375 seconds² New Machine: n2 = 9, x̄2 = 31.56 seconds, s2² = 20.0275 seconds² Given the aforementioned data, the hypotheses H0: σ1² ≤ σ2² and H1: σ1² > σ2², and α = 0.05, is there evidence to conclude that σ1² ≤ σ2²? a. The test statistic equals 1.10, so there is evidence to conclude that σ1² ≤ σ2². b. The test statistic equals 0.91, so there is evidence to conclude that σ1² ≤ σ2². c. The test statistic equals 0.91, so there is not evidence to conclude that σ1² ≤ σ2². d. The test statistic equals 1.10, so there is not evidence to conclude that σ1² ≤ σ2². e. The test statistic equals 0.82, so there is not evidence to…