Find the absolute uncertainty of the following calculation, and express the answer to the proper number of significant figures. 12.34(±0.04) + 178.1(±0.2) - 18.493(+0.002) = 171.947 A 171.95(± 0.2) B 172.947(±0.242) 172 D 171.9(±0.2)
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- Formulate the null and alternate hypotheses for the following situations. (identify the correct number θ0 and write H0: θ = θ0 and the appropriate analogous expression for H1).- The average farm size in a predominantly rural state was 280,851.8 square meter. The secretary of agriculture of that state assures that today it is less. - A statistics instructor believes that less than 20% of the students attended the opening function of a film. He surveys 84 of his students and finds that 11 attended the function. ThanksA tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.A medical researcher says that less than 85% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than enter your response here% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not enter your response here%. C. More than enter your response here% of adults in the country think that healthy children…
- A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 84% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8686% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More than nothing%…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.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 99% 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.
- A medical researcher says that less than 76% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 500 adults in that country, 73% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. B. Less than 7676% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More…A researcher wishes to estimate the proportion of adults who have high-speed internet access. What sample should be obtained if she wishes the estimate to be within 0.01 with 90% confidence if: a. she uses a previous estimate of 0.36? b. she does not use any prior estimates?A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.040.04 with 9090% confidence if a) she uses a previous estimate of 0.420.42? b) she does not use any prior estimates?
- In a one-tail test, the p-value is found to be equal to 0.0026. If the test had been two-tailed, the p-value would have been:A researcher wishes to estimate the proportion of adults who have high speed internet access. what size samples should be obtained if she wishes the estimate to be within 0.02 with 90% confidence if A) She was a previous estimate of 0.32? B) She does not use any prior estmates?A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…