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- Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = The expected frequency, fe = ____Construct the table for Random Variable given the scenario: Suppose there are three people to be tested in Covid-19. Let P represent positive, N represent negative, and X be the random variable representing the number of infected persons that occur. Find the random variable X. (Clue: there are 8 possible outcomes) Value of the Random Variable X Possible Outcomes (number of infected or positive) The possible values of the random variable are X =.If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) ?=4,?=0.2?=?2= ?= (b) ?=5,?=0.9?= ?2=?=
- Moving to another question will save this response. Quèstion 4 If X is a negative binomial random variable with p=0.6 and r=3 then variance 10 is 3 True False A Moving to another question will save this response. rch hp 立A survey asks 1100 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Forty-six percent of those surveyed say they are reducing the amount of vacation. Ten workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial experiment? No Yes What is a success in this experiment? Selecting a worker who is not reducing the amount of vacation Selecting a worker who is reducing the amount of vacation This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. O A. n= B. This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer…Need help with this question. Thank you :)
- Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.Select the appropriate response. bag contains 15 red balls and 3 green balls. One at a time a ball is selected, the color is recorded and the ball is returned to the bag. This is done until 100 balls have been pulled from the bag. X = number of outcomes that are red. Is X a binomial random variable? O Yes, is a binomial distribution. No, not a binomial because the number of trials is not fixed (known). O No, not a binomial distribution because there are more then two outcomes. O No, not a binomial because the probability of a success changes with each trial (the trials are not independent).Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 42 11 Subject Is Not a Drug User 2 29 The probability of a false positive test result is (Round to three decimal places as needed.) Who would suffer from a false positive result? Why? O A. The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs. B. The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs. C. The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs. D. The employer would suffer…
- Suppase there is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Hy and the alternative hypothesis, H, as follows. Ho p29 Suppose you also know the following information. The value of the test statistic based on the sample is -1.995 (rounded to 3 decimal places). The p-value is 0.023 (rounded to 3 dedmal places). (a) Complete the steps below for this hypothesis test. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less…Tyson Corp. stock has returns of 3%, 18%, -24%, and 28% for the past four years. Based on this information, what is the 99% probability range for any one given year? Select one: Oa 24.5 to 34.3% O b.-61.7 to 74.2% OC.-8.4 to 11.7% Od.-16.4 to 28.9% e. 39.0 to 51.5%37
