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- 2. If x is a value assumed by a random variable X having the exponential distribution given by x > 0, elsewhere f(x)= = 0 >0 Ө 0, Find k so that the interval 0 <0For the model is of the form E(Y) = Bo +B,x,which of the following is true about the variability in the confidence interval of E(Y) and the prediction interval for a single future value of Y when a. There is more variability in the prediction interval of a single value of y than in the confidence interval of E(Y) b. There is less variability in the prediction interval of a single value of y than in the confidence interval of E(Y) c. There is no conclusive statement about the variability between the the two intervals. d. The two intervals always have equal variabilityA 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 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 a =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 Ho and H. 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.) O A. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not %. O B. No more than % of adults the country would travel into space on a commercial flight if they could afford it. O C. % of adults in the country would travel into space on a commercial flight if they could afford it. O D. At least % of adults in the country would travel…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 800 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At a=0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and H. 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.) ontents O A. No more than % of adults in the country would travel into space on a commercial flight if they could afford it. %. O B. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not edia Library O C. At least % of adults in the country would travel into space on a commercial flight if they could afford it. lan O D. % of adults…Please show me the stepsA research center claims that 28% 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, 32% say that they would travel into space on a commercial flight if they could afford it. At a = 0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho 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. At least % of adults in the country would travel into space on a commercial flight if they could afford it. B. No more than % of adults in the country would travel into space on a commercial flight if they.could afford it. C. 28 % of adults in the country would travel into space on a commercial flight if they could afford it. O D. The percentage adults in the country who would travel into…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 8585% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct. 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…Amedical researcher says that less than 79% 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, 75% think that healthy children should be required to be vaccinated. At a= 0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below SE (a) Identify the claim and state H, and H,. ome 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.) ents O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. ok O B. More than % of adults in the country think that healthy children should be required to be vaccinated. Contents C. %% of adults in the country think that healthy children should be required to be vaccinated. O D. The percentage of adults in the country who think that healthy children should be…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 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…