6.22 Let X ~ binomial(5, 0), and consider a test of Ho : 0 = 0.5 versus Hị : 0 < 0.5. If Ho is rejected when X = 0, calculate the power when 0 = 0.1.
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- 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 α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?After testing 40 participants, a significant x2obt of 13.31 was obtained. With a .05 and df 2, how would this result be reported in a publication In your own words please not copied from the internetIn 2002 a statistician named Fukuda found the following in Japan: Out of 565 births where both parents smoked more than a pack a day, 255 were boys. Out of 3602 births where both parents didn’t smoke, 1975 were boys. At ∝= 0.05, can we claim that there is a smaller propor)on of boys with parents who are smokers? Test using: a.) a hypothesis test b.) an appropriate CI
- A study found that in 2005 12.5% of US workers belonged to unions. Suppose a sample of 500 US workers is collected in 2006 to determine whether union efforts to organized have increased union membership. Formulate the hypothesis that can be used to determine whether union membership increased in 2006. If the sample results show that 80 of the workers belonged to unions, what is the p-value for your hypothesis test? At =0.05 what is your conclusion?In a certain city of several million people, 7.6% of the adults are unemployed. If a random sample of 230 adults in this city is selected, approximate the probability that fewer than 19 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuityA COVID-19 test has sensitivity of 90% and specificity of 92%. If base rate of COVID-19 in a population is 5%, what is the likelihood of a person having COVID-19 if he/she is tested positive, to 3 decimal places?
- It has been reported that 60% of the adult population participate in computer hobbies during their leisure time. A random sample of 300 adults found that 140 engaged in computer hobbies. α = 0.05. determine the alternative hypo, z-valueA research center claims that more than 32% of employees in a certain country have changed jobs in the past three years. In a random sample of 360 people from that country, 126 have changed jobs in the past three years. At α=0.05, is there enough evidence to support the center's claim? Complete parts (a) through (e) belowLongevity, in days, was measured in two unrelated samples of D.melanogaster flies. Researchers hypothesized that the energeticdemands of sexual activity would cause those flies to havereduced longevity. Perform all 7 steps of the appropriate hypothesis test todetermine if there is convincing evidence at α = 0.05 that sexuallyactive D. melanogaster tend to have shorter lifespans than theirsexually inactive counterparts. Sample mean Sample SD n active 38.9 12.0 25 Inactive 62.5 14.1 24
- Let X denote the number of successes in a series of n independentBernoulli trials with constant probability of success θ. If kX(n − X) isan unbiased estimator of θ(1 − θ), what is the value of k?Suppose the distribution of some random variable X is modeled as Negative binomial with parameters, p and r, where p is the probability of success and r is the total number of success over the trials. Find the method of moment (MM) estimators for (p,r), in closed algebraic form expressions based on a random sample of size n, X1, X2,...,Xn.Test the hypothesis that the population GPA of all students in MAT125 is not equal to 2.95. Test at the 0.05 level of significance