7)- An American Housing Survey conducted by the U.S. Department of Commerce revealed that 705 of 1,500 sampled homeowners are do-it-yourselfers. They did most of the work themselves on at least one of their home improvements or repairs (Bureau of the Census, Statistical Brief, May 1992). Estimate the true population proportion of American homeowners who do most of the home improvement or repair work themselves using a 95% confidence interval. Interpret the result.
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- What is meant by the sample space of an experiment?1. The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 154 teens, 108 reported having more than 100 followers on Twitter. Find the point estimate of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter.2. The Vice-Chancellor of a university is concerned that illicit drug use on campus is higher than the 5% acceptable level. A random sample of 140 students revealed that 5 of them had used illicit drug during the last 12 months. Construct a 90% confidence interval to estimate the true proportion of students who use illicit drug. Should the Vice-Chancellor be concerned?
- calculate a 95% confidence interval for the proportion of U.S residents who feel that the united states is on the right track in terms of its foreign policy if a random sample of 400 such residents had 148 respond yesThe article “Evaluation of Criteria for Setting Speed Limits on Gravel Roads” (S. Dissanayake, Journal of Transportation Engineering, 2011:57–63) counted the numbers of vehicles of various types on several roads in the state of Kansas. In Riley County, 13 out of 67 vehicles on Walsburg Road were heavy vehicles, while 32 out of 91 on North 52nd Street were heavy vehicles. Find a 90% confidence interval for the difference between the percentages of heavy vehicles on the two roads.The Indian River County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor's degree. A random sample conducted by the Indian River County Economic Development Board found that 28.7% of all county residents held at least a bachelor's degree. Find three different confidence intervals - one with sample size 129, one with sample size 627, and one with sample size 972. Assume that 28.7% of the county residents in each sample have earned at least a bachelor's degree. Notice how the sample size affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. When n=129n=129, the margin of error for a 97% confidence interval is given by . When n=129n=129, a 97% confidence interval is given by . When n=627n=627, the margin of error for a 97% confidence interval is given by . When…
- In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. PPIC researchers find that 68 out of 200 Central Valley residents approve of the California Legislature and that 156 out of 300 Bay Area residents approve of the California Legislature. PPIC is interested in the difference between the proportion of Central Valley and Bay Area residents who approve of the California Legislature. Find and interpret a 95% confidence interval to estimate the difference between the proportion of Central Valley and Bay Area residents who approve of the California Legislature.Suppose a certain study reported that 27.7% of high school students smoke. Random samples are selected from high school that has 632 students. (i) If a random sample of 60 students is selected, what is the probability that fewer than 19 of the students smoke? (ii) If a random sample of 75 students is selected, what is the probability that more than 17 of the students smoke? iii) Explain how to identify the minimum sample size needed to construct a confidence interval for the proportion with a specific margin of the error when the population proportion is unknown. (iv) A random sample of 175 registered voters revealed that 54% of them voted in the last election. Construct a 95% confidence interval to estimate the true proportion of voter turnout. (v) A pilot sample of 50 voters found that 30 of them voted in the last election. How many more voters must be sampled to construct a 95% interval with a margin of error equal to 0.04?In a large clinical trial, 391,847 children were randomly assigned to two groups. The treatment group consisted of 194,085 children given a vaccine for a certain disease, and 31 of those children developed the disease. The other 197,762 children were given a placebo, and 99 of those children developed the disease. Consider the vaccine treatment group to be the first sample. If a 0.10 significance level is to be used to test the claim that p1 < p2 what confidence level should be used?
- 4) The trade magazine QSR routinely checks the drive-through service times of fast-food restaurants. A 90% confidence interval that results from examing 607 customers in Taco Bell's drive-through has a lower bound of 161.6 seconds and an upper bound of 164.7 seconds. What does this mean?In a large clinical trial,393,850 children were randomly assigned to two groups. The treatment group consisted of 198,023 children given a vaccine for a certain disease, and 37 of those children developed the disease. The other 195,827 children were given a placebo, and 144 of those children developed the disease. Consider the vaccine treatment group to be the first sample. If a 0.01 significance level is to be used to test the claim that p1<p2, what confidence level should be used?With the introduction of On-Demand Television, such as Netflix, OSN Play, Shahid, Watch it, etc…, media producers will eventually have to start producing and broadcasting their shows in this new digital standard. Al-Nahar, trying to decide on their own strategy, conducted a poll in major Arabic cities and found that 39 out of 200 households was likely to purchase a streaming service within the next year and a half.(a) Give an estimate and a 90% confidence interval for the true proportion of Arabic households in major cities that are likely to purchase a streaming service over the next year-and-a-half period.(b) Al-Nahar’s strategy is to proceed with a substantial investment in new technology if they are at least 90% confident that the true proportion estimated using their poll is above 17%. Based on this strategy, will Al-Nahar proceed with this investment?(c) Based on this preliminary estimate they wanted to conduct a more extensive poll in order toincrease the accuracy of their…