2. Find E(X) and Var(X) if a. P(X = 0) = 0.2, P(X = 1) = 0.3, and P(X = 2) = 0.5. b. X is the number of successes in 200 Bernoulli trials each with probability of success 0.7.
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- Take a=1 in the questionYou are a researcher who wants to know what the mean (µ) level of anxiety would be for the whole population if they were all receiving a new anti-anxiety therapy. You can’t give the therapy to the whole population, so you give it to a sample, and you get M = 32.1 as the average anxiety level for the sample on the therapy. What is the reason that you can’t just simply assume that µ = 32.1? You didn’t use random assignment Sampling error Descriptive statistics Inferential statisticsQ1:Let p equal the proportion of drivers who use a seat belt in a country that does not have a mandatory seat belt law. It was claimed that p = 0.14. An advertising campaign was conducted to increase this proportion. Two months after the campaign, y = 104 out of a random sample ofn = 590 drivers were wearing their seat belts. The null and alternative hypotheses are given by
- A researcher administers a treatment to a sample of n=36 selected from a population with u=30 and o=2. If the sample mean after treatment is M=32, then Cohen’s d=1.00. True or False?A research report concludes that there are significant differences among treatments, with "F(3, 28) = 5.62, p < .01, η2 = 0.28." If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment? a. 6 b. 8 c. 9 d. cannot determine without more information3. In an experiment on immunization of cattle from tuberculosis, the following results were obtained : Affected Not affected Inoculated 12 26 Not inoculated 16 6 Calculate x and discuss the effect of vaccine in controlling susceptibility to tuberculosşis (5% value of x for one degree of freedom = 3.84).
- A medical researcher says that less than 82% of adults in a certain country think that healthy children should be required to be vaccinated. In a randon sample of 300 adults in that country, 78% think that healthy children should be required to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) 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.) CA. Less than 82 % of adults in the country think that healthy children should be required to be vaccinated. O B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. O C. More than % of adults in the country think that healthy children should be required to be vaccinated. O D. % of adults in the country think that healthy children should be required…A research center claims that 31% 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, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? 1. Let p be the population proportion of successes, where a success is an adult in the country who wouuld travel into space on a commercial flight if they could afford it. State the H0 and the Ha. 2. Identify the standardized statistic and round 2 decimals if needed. 3. Identify the p value. 4. Decide whether to reject or fail to reject the null hypothesis adn interpret the decision in the context of the original claim. (Reject or fail to reject) the null hypothesis. There (is or is not) enough evidence to (reject or support) the researcher's claim.llustration 19.18.. A sample study of the population of two districts gives that in district A the percentage of male population is 52% while this is the figure for the female percentage in the B district. If the size of the sample selected was in district A and B as 400 and 625 respectively, can both of these samples be taken to come from a population where the percentage of males and females is equal?
- The manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager’s theory at the 0.01 level of significance. Swimmers at the City Pool Monday Tuesday Wednesday Thursday Friday Number 64 46 41 56 70 Copy Data Step 2 of 4 : Calculate the expected value for the number of swimmers on Tuesday. Enter your answer as a fraction or a decimal rounded to three decimal places.A 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 1200 adults in that country, 32% say that they would travel into space on a commercial flight if they could afford it. At a=D0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H, and H,. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho p2 O B. Ho p O C. Ho P> Ha p (b) Use technology to find the P-value. Identify the standardized test statistic. %3= (Round to two decimal places as needed.) Identify the P-value. P = (Round to three decimal places as needed.) Next Textbook Calculator 6:56 PM 65°F 23 12/6/2021 99+ Type here…A research center claims that 31% 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, 33% 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. C No more than % of adults in the country would travel into space on a commercial ight it they could attord it. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State Ho and H Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA Ho: ps OB. Ho: p> OC. Ho: p H p= Ha:p> H ps VE Ho: p= 0.31 O D. Ho: p< OF H: p2 H: p2 H p 0.31 (b) Use technology to find the P-value. Identify the standardized test statistic. z= 1.22…