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- Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of correctly receiving a -word coded message made up of -bit words.Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.1. An online website on pregnancy testing says that *Usually, if all care has been taken, [home) pregnancy tests are 97% accurate." [R314] Assume that "97% accurate" means a false positive rate and a false negative rate of 3%. Since a woman is unlikely to use a home pregnancy test unless she thinks she's probably pregnant, assume that 80% of the women who try one are in fact pregnant. Explain why a positive test indicates pregnancy more than 99% of the time even thought the false positive rate is 3%.
- 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…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.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 1100 adults in that country, 34% 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. 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 enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. 3030% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could…
- 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 1100 adults in that country, 34% 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. 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 enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial…5. Suppose that 560 out of 1000 people polled believe that this country needs immigration reform. Is there convincing evidence that more than half of the people of this country believe in immigration reform? Take α = 0.05. a. State the null (H0) and alternative hypothesis (Ha). b. Use Excel to find the test statistic and to find the P-value. c. State your conclusion in terms of the null hypothesis.Suppose that we use the two-toss method for estimating the rate of a rare and embarrassing condition in a population (call it "U"). The more acceptible answer we'll call "V".36 students toss their coins, and those who toss heads-heads will flip their answers: if they're a "V", they'll say "U"; if they're a "U", they'll say "V".When we count up the number saying "V", we get 21 out of 36.What's the estimated rate of the more common and acceptible "V" condition?
- Suppose that we use the two-toss method for estimating the rate of a rare and embarrassing condition in a population (call it "U"). The more acceptible answer we'll call "V". 36 students toss their coins, and those who toss heads-heads will flip their answers: if they're a "V", they'll say "U"; if they're a "U", they'll say "V". When we count up the number saying "V", we get 25 out of 36. What's the estimated rate of the more common and acceptible "V" condition? LicenseFor example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Take student id S12042516 as an example. With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning. i ) Suggest the test that should be used and explain your reason. State the independent and dependent variables, underlying null and alternative hypotheses.Suppose that 0.63 of all adults own a car. Random samples of adults are taken and the proportion of each sample that owns a car was found.31.21% of all sample proportions were greater than 0.6937. What is σp^? σp^=