A manager is interested in determining if the population standard
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- A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?Longevity, in days, was measured in two unrelated samples of D.melanogaster flies. Researchers hypothesized that the energeticdemands of sexual activity would cause those flies to havereduced longevity. Perform all 7 steps of the appropriate hypothesis test todetermine if there is convincing evidence at α = 0.05 that sexuallyactive D. melanogaster tend to have shorter lifespans than theirsexually inactive counterparts. Sample mean Sample SD n active 38.9 12.0 25 Inactive 62.5 14.1 24Each day for 200 days, a quality engineer samples 144 fuses rated at 15 A and measures the amperage at which they burn out. He performs a hypothesis test of H0 : μ = 15 versus H1 : μ ≠ 15, where μ is the mean burnout amperage of the fuses manufactured that day. a) On 10 of the 200 days, H0 is rejected at the 5% level. Does this provide conclusive evidence that the mean burnout amperage was different from 15 A on at least one of the 200 days? Explain. b) Would the answer to part (a) be different if H0 had been rejected on 20 of the 200 days? Explain.
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than 15% . If a random sample of 250 students at this college is selected, and it is found that 50 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The p-value:(Round to at least three decimal places.) Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than 15% ? Yes NoA recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than 20% . If a random sample of 250 students at this college is selected, and it is found that 51 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.05 level of significance:(Round to at least three decimal places.) Can we reject the claim that the proportion of students who commute more than fifteen miles to school…
- A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 20%. If a random sample of 270 students at this college is selected, and it is found that 63 commute more than fifteen miles to school, can we reject the college's claim at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0: __? The alternative hypothesis: H1: __? The type of test statistic: (Choose one)Z,t,Chi square,F The value of the test statistic:(Round to at least three decimal places.) __? The critical value at the 0.01 level of significance:(Round to at least three decimal places.) __? Can we reject the claim that the proportion of students who commute…A survey of 30 r/s students in a large college indicated that 19 of them held off-campus jobs. Does this survey result provide strong evidence that more than 50% of all studentsin this college hold off-campus jobs? Use an appropriate p-value to draw and explain your conclusion.A reasearcher selects a sample of 100 people to investigate the relationship between gender (male/female) and regestering to vote. The sampple consists of 40 female , of whom 30 are regestered voters, and 60 males of whom 40 are regestered voters. If these data were used for chi-square test for independence, what is the observed frequency for registered males?
- A study found that in 2005 12.5% of US workers belonged to unions. Suppose a sample of 500 US workers is collected in 2006 to determine whether union efforts to organized have increased union membership. Formulate the hypothesis that can be used to determine whether union membership increased in 2006. If the sample results show that 80 of the workers belonged to unions, what is the p-value for your hypothesis test? At =0.05 what is your conclusion?Suppose the Japanese Health Authority conducts a country wide survey to assess if men or womenhave the same likelihood of getting infected with COVID-19. A random sample of (500 + 90) and 400 women were selected, and 50% of these men and 45% of thesewomen were infected with COVID-19, respectively. What is the 91.98% condence interval for thetrue dierence in proportion of men and women who get infected with COVID-19.Only 18% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 354 randomly selected registered voters surveyed, 50 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? Find z= Find the p-value