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- In a lab ,the coronavirus vaccine causes negative effects in 3 out of every 100 patients . 5 people are chosen randomly Find the average number of patients that the lab should expect to experience side effects if 100 patients are randomly selectedTo test the effectiveness of a new drug designed to relieve flu symptoms, 200 patients were randomly selected and divided into two equal groups. One group of 100 patients was given a pill containing the drug while the other group of 100 was given a placebo. What can we conclude about the effectiveness of the drug if 62 of those actually taking the drug felt a beneficial effect while 41 of the patients taking the placebo felt a beneficial effect? Use α = 0.05.A recent graduate chooses 4 continents to visit from the 7 in the world. What is the size of the sample space in this experiment?
- Phineas Phillips, from Philadelphia, has a fascination with fun phone facts. But Phineas has furrowed his brow because his cousin Felix (from Florida) claims to have a phone fact that Phineas is not familiar with. His cousin claims that the percentage of iPhone users in Canada is different than it is in the United States. Phineas knows (for a fact) that the percentage of smart phone users in the US that prefer iPhones is 45%. A random sample of 400 Canadian smart phone users indicates that 160 of them prefer iPhones. Can Phineas conclude, at a 10% level of significance that the percent of iPhone users in the US is different than it is in Canada? What is the null hypothesis? What is the alternate hypothesis? Is this a left tail, right tail, or two tailed test? What is the value of the test statistic? What is your conclusion for the hypothesis test?An automobile owner found that 20 years ago, 76% of Americans said they would prefer to purchase an American automobile. He believes that the number is much less than 76% today. He selected a random sample of 56 Americans and found that 38 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 76% if a=0.01?Following the random selection, rooms 3G and 4G, which were taught by Ms. Ana and Mr. Alex, respectively, were chosen, and she provided a list of the test scores. The results are as follows: Sasha, who is from the 3G class received an 81, and Yori, who is from the 4G class, received a 79. Help them determine who fared better on the test when other students' scores are included. You need to defend your response with the right statistic, therefore compute it.
- In this activity, you simulated selecting a random sample of 20 students from a population by selecting 20 beads from a bag that contains red beads and white beads. Suppose that 40% of a large population of students would vote for Candidate 1 in a mock election. Can you think of a way to use a random digit table to simulate selecting the random sample that would be used instead of selecting beads from a bag? Describe how you would do this.A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If three envoys were selected at random one after the other, determine the values of the random variable K representing the number of Koreans. Please provide an answer and solution.In the first round, Shawn has to guess the item hidden in each of the 6 distinct bins. In every bin, he will be given three options to choose from: one is the correct hidden item and the other two are the incorrect ones. Every correctly guessed item is worth 10000 pesos, and if Shawn guesses all 6 items correctly, he will win a brand new house and lot. Suppose the random variable, X, is the number of correctly guessed items for the six bins. This illustrates a random experiment following a binomial distribution with number of trials, n, equal to 6 and probability of correctly guessing an item equal to 1/3. Accordingly, below is the probability distribution table for the number of correctly guessed items, X. Please see image In this round, the probability that his winnings will be around 30,000 to 50,000 pesos is ________. While the chance that he will a brand new house and lot is ______.
- A random sample of 40 students from each grade level was surveyed regarding their preference for a class field trip. If there are 180 members of the 8th grade class, then what percent preferred either the museum or the sports complex? Show your work.You conduct a one-factor ANOVA with 3 groups and 6 subjects in each group (a balanced design) and obtain F=3.68. Find the requested values. dfbetween= dfwithin=Stephanie buys a bag of cookies that contains 9 chocolate chip cookies, 8 peanut butter cookies, 7 sugar cookies and 6 raisin cookies. Find the probability that Stephanie randomly selects a sugar cookie from the bag, eats it, then randomly selects a raisin cookie. Express you answer as a reduced fraction.
