A simple random sample of 456 individuals provides 143 Yes responses. (a) What is the point estimate of the proportion of the population that would provide Yes responses? (b) What is your estimate of the standard error of the proportion, ap? (Round your answer to four decimal places.)
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A: p^1=0.5p^2=0.45 p^=180*0.5 + 160*0.45180+160 = 0.47 hypothesis: H0 :p^1=p^2H1:p^1≠p^2 since we have…
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- Suppose you take a sample of 25 Reese's pieces. The proportion of orange is 0.4. What is the p-value when testing the hypothesis that the actual proportion of orange for all Reese's pieces is 0.5? Round to two places.C?You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.77. You would like to be 96% confident that your esimate is within 4% of the true population proportion. How large of a sample size is required?
- A publisher reports that 80% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 74% of the readers owned a laptop. Determine the P-value of the test statistic. Round your answer to four decimal places.You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.You sample 180 men, and 85% own cats.You sample 100 women, and 45% own cats.Find the test statistic, rounded to two decimal places.You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.8. You would like to be 97% confident that your esimate is within 2% of the true population proportion. How large of a sample size is required?
- The state education commission wants to estimate the proportion of tenth-grade students in the state who read at or below the eight-grade level. The commissioner wants an estimate with a 90% level of confidence and an error of at most 5%? Step 1 of 2 : Assuming the commissioner has no prior knowledge about the proportion, how large of a sample would be required for the commissioner to make the desired estimate? Round your answer up to the next integer.For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a survey of 1000 large corporations, 246 said that, given a choice between a job candidate who smokes and an equally qualified nonsmoker, the nonsmoker would get the job. (a) Let p represent the proportion of all corporations preferring a nonsmoking candidate. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 0.95 confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit What is the margin of error based on a 95% confidence interval? (Round your answer to three decimal places.)For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion The National Council from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year. (a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 99% sure that a point estimate p will be within a distance of 0.09 from p? (Round your answer up to the nearest whole number.) small businesses (b) In a preliminary random sample of 30 small businesses, it was found that twelve had declared Chapter 11 bankruptcy. How many more small businesses should be included in the sample to be 99% sure that a point estimate p will be within a distance of 0.090 from p? (Round your answer up…
- What percentage of your campus student body is female? Let p be the proportion of women students on your campus.A choral conductor has 1885 singers in her choir, some of them are professional singers. The conductor wants to estimate what percentage of singers are professional, but can't ask all 1885, so she instead asks 630 singers in front and finds 17 who are professionals. (a) Identify the sample.A. 17/1885B. 630C. singers who were askedD. None of the above. (b) Identify the populationA. percentage of entire singers who are professionalB. entire singersC. 17/1885D. None of the above. (c) What specific type of bias does this scenario demonstrate?A. Voluntary response samplingB. Convenience SamplingC. It is representative of the population.D. None of the above. (d) Identify the parameterA. range of values in which 95% values fallB. percentage of entire singers who are professionalC. 17D. None of the above.You want to test whether the true proportion teenagers who can swim is below 1/4. In a random sample of 70 teenagers, 40 can swim. what is the test statistic for the test?