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Use properties of logarithms to expand the expression log7 (2/3)
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- suppose that from a sample of 200,000 new york workers, 32,400 reported traveling more than an hour an day. From this information, statisticians determined that about 16.2% of the workers in the state traveled more than an hou to work every day in 2011. If there were 8,437,512 workers in the entire population, about how many traveled more than an hour to work each day?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 700 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.Calculate the point prevalence for Alzheimer’s disease among individuals 65 years of age or older in a county that has 200,000 individuals who are 65 years of age or older, if 22,223 individuals who are 65 years of age or older have the disease. 0.0111 0.1111 0.8889 0.9889
- A survey of 400400 volunteers yielded the following information: 265265 were tour guides, 215215 were retirees, and 150150 of the tour guides were retirees. How many of the 400400 surveyed volunteers were tour guides or were retirees?Only 41% of registered voters voted in the last election. Will voter participation be even lower for the upcoming election? H0: Ha:A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% 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. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
- In a sample of 300 days, St. Petersburg has 171foggy days. In an independent sample of 200 days,Stockholm has 92 foggy days. Compute the 95% CIfor the difference between the two populationproportions of foggy days.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?
- A research center claims that at least 23% of adults in a certain country think that their taxes will be audited. In a random sample of 1000 adults in that country in a recent year, 19% say they are concerned that their taxes will be audited. At α=0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha.Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6 per 15-minute period. Find the pro of at least 4 buses arriving in a 15-minute period.It was reported that in the nuclear industry, it is significant to keep detailed records of the quantity of plutonium received, transported, or used. Each shipment of plutonium pellets received is carefully analyzed to check that the purity and hence the total quantity is as claimed by the supplier. A particular shipment is analyzed with the following results: 99.93, 99.87, 99.91, and 99.89%. The listed purity as received from the supplier is 99.95%,Using a suitable test, propose whether this shipment is acceptable at a 95% confidence level.