A statistician read that 77% of the population oppose replacing $1 bills with $1 coins. To see if this claim is valid, he selected a sample of 80 people and found that 55 were opposed to replacing the $1 bill. At α = 0.01, test the claim that at least 77% of the population are opposed to change
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A statistician read that 77% of the population oppose replacing $1 bills with $1 coins. To see if
this claim is valid, he selected a sample of 80 people and found that 55 were opposed to
replacing the $1 bill. At α = 0.01, test the claim that at least 77% of the population are opposed
to change
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.If the hypothesis test results in a p-value of 0.08, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.95, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.02, would we be able to reject the null hypothesis if we were using alpha=0.01?A random sample of 80 poultry farms of one variety gave an average production of 240 eggs per bird. Another random sample of 50 poultry farms of another variety gave an average production of 195 eggs per bird. At a=0.05 is there sufficient evidence to support that there is a significant difference between the egg production of the two varieties of birds. Assume o1 =18 eggs and o2=15 eggs
- In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normalA foreign car manufacturer advertises that its newest model, the Bullet, rarely stops at gas stations. In fact, they claimed that its EPA rating for highway driving is at least 32.5 mpg. However, the results of a recent independent study determined the mpg for 50 identical models of the Bullet, with these results: n = 50, x= 30.4 mpg, and s = 5.3 mpg.This report failed to offer any conclusion, and you have been asked to interpret these results by someone who has always felt that the 32.5 figure is too high. What would be your conclusion using a significance level of 5%?Z = 1.645In a clinical trial, 2828 out of 887887 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.62.6% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.62.6% of this drug's users experience flulike symptoms as a side effect at the alpha equals 0.05α=0.05 level of significance?Because np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals= nothing▼ 10, the sample size is ▼less thanless than greater thangreater than 5% of the population size, and the sample ▼can be reasonably assumed to be random, is given to be random, is given to not be random, cannot be reasonably assumed to be random, the requirements for testing the hypothesis ▼are not are satisfied.(Round to one decimal place as needed.)Enter your answer in the answer box and then click Check Answer.
- A research center claims that at least 22 % of adults in a certain country think that their taxes will be audited. In a random sample of 1000 adults in that country in a recent year, 19 % say they are concerned that their taxes will be audited. At alpha equals0.10 , is there enough evidence to reject the center's claim? Complete parts (a) through (e) below.A pharmaceutical company has developed a new drug to help relieve acid reflux. However, as with all new drugs, there are concerns about adverse side effects. To check this, the company administers the drug to n randomly chosen people with acid reflux, and it finds that k of them experience adverse side effects. The company hopes to reject the null hypothesis that the proportion of drug-takers who experience adverse side effects is at least 0.5%. Which of the following is true? a. If n=1,250 and k=1, this is enough evidence to reject the null at the 1% level. b. If n=1,000 and k=3, this is enough evidence to reject the null at the 10% level. c. If n=4,000 and k=9, this is enough evidence to reject the null at the 1% level. d. If n=1,600 and k=4, this is enough evidence to reject the null at the 5% level.Random samples of 900 people in the United States and in Great Britain indicated that 60% of the people in the United States were positive about the future economy, whereas 66% of the people in Great Britain were positive about the future economy. Does this provide strong evidence that the people in Great Britain are more optimistic about the economy (alpha = 0,01)?
- In a Japanese study, “researchers looked at 35 peoplewith lower back pain who were enrolled in an aquatic exercise program, which included swimming and walk-ing in a pool. Almost all of the patients showed improve-ments after six months, but the researchers found that those who participated at least twice weekly showedmore significant improvement that those who wentonly once per week.”Which of the following statements is true?a) This experiment proves that swimming causes areduction in lower back pain.b) This study is a poorly designed experiment sincethere is no control group and no randomization.c) Conclusions based on this observational study aresuspect since participation in the aquatic programmay be confounded with other lifestyle behaviors thatmay cause the improvement in lower back health.d) Conclusions based on this observational study aresuspect since a sample size of 35 is too small.e) This study is not an observational study since theaquatic program is a treatment.Answer A, B1, and B2: A. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. B. Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level…Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
