(c) Use the binomial probability formula to determine the P-value for this test. P-value = (Round to three decimal places as needed.) What is the correct conclusion regarding the null hypothesis? O A. Do not reject Ho. Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5. O B. Reject Ho. Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5. OC. Do not reject Ho. Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5.
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- The majority of clothing retailers use mannequins to display their merchandise, with approximately one-third displaying mannequins with a head and two-thirds displaying mannequins without a head. Researchers recruited 126 female participants and assigned them to one of the two mannequin styles (head/headless). Participants were.asked to imagine that they wanted to buy a new dress and told that they had gone to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and asked whether they would buy the dress. Of the 53 participants viewing the dress displayed on a mannequin with a head, 18 indicated they would buy the dress, while only 10 of the 53 participants viewing the headless mannequin indicated they would buy the dress. Assuming the conditions are met, calculate the test statistic (Enter the test statistic rounded to two decimal places)A researcher wished to find out whether the perceptions of a persons height depends on that person’s perceived status. A random sample of army inductees was selected and equally divided into four groups. An actor gave a short address to each group separately, extollng the joys of army life. For the first group, the actor was dressed as a private; for the second, as a sergeant; for the third, as a captain, and, finally, for the fourth grup, as a Colonel. The inductees were asked to fill out a questionnaire evaluating the speech. Among the questions was one asking for an estimate of the lecturer’s height.One game at a carnival is called “Duck Pond.” This game consists of a large number of ducks that arefloating through an oval-shaped trough. A sign claims that 20% of the ducks have a blue dot on thebottom of them, 20% have a red dot, 20% have a green dot, 20% have a yellow dot, and 20% have anorange dot. Players pay to select one duck, show the color to the game attendant, replace the duck, spinaround once, and then select a second duck. If the dot on the bottom of the second duck matches the dotthat was on the bottom of the first duck, the player wins. Otherwise, the player loses. a) Are the events “color of the first duck” and “color of the second duck” independent? Explain. b) You want to perform a simulation to estimate the probability of winning this game, assuming theduck colors are distributed as claimed. Describe how you could use a table of random digits tocarry out this simulation without needing to skip any digits. c) Perform 10 trials of the simulation described in part (b)…
- Many animals, including humans, tend to avoid directeye contact and even patterns that look like eyes.Some insects, including moths, have evolved eye-spotpatterns on their wings to help ward off predators.Scaife (1976) reports a study examining how eye-spotpatterns affect the behavior of birds. In the study, thebirds were tested in a box with two chambers andwere free to move from one chamber to another. Inone chamber, two large eye-spots were painted onone wall. The other chamber had plain walls. Theresearcher recorded the amount of time each birdspent in the plain chamber during a 60-minute session.Suppose the study produced a mean of M = 34.5 minutes on the plain chamber with SS = 210 for a sample of n = 15 birds. (Note: If the eye spots have no effect,then the birds should spend an average of μ = 30minutes in each chamber.)a. Is this sample sufficient to conclude that the eyespots have a significant influence on the birds’behavior? Use a two-tailed test with α = .05.b. Compute the…In an imaginary survey, we wanted to find out if there is a connection between morning sickness and sleeping position. A random sample of 400 people was selected for the survey. The respondent had to define himself as either a morning person or a non-morning person and tell the position in which he typically sleeps.186 respondents classified themselves as morning timers and 214 respondents as non-morning timers.Of the morning owls, 127 reported that they usually sleep on their side, 24 on their stomach and 35 on their back.Of the non-morning people, 156 reported that they usually sleep on their side, 29 on their stomach and 29 on their back.Use the chisq.test() function to test the null hypothesis that there is no connection between morning knitting and sleeping position. What is the p-value? Give the answer to four decimal places. Remember the correct decimal separator.With the rise of online shopping and the incoming 11.11 sale of Lazada and Shopee, you also set up a promotion in your online store as follows. With any purchase worth of Php1000 or more, the customer gets the chance to play once the spin-the-wheel as shown below. If a number 1 comes up, the customer wins Php500. If the number 2 comes up, the customer wins Php250; and if the number 3 or 4 comes up, the customer wins a discount coupon. Find the following probabilities.a. The customer wins Php500b. The customer gets a discount couponc. The customer wins money
- With the rise of online shopping and the incoming 11.11 sale of Lazada and Shopee, you also set up a promotion in your online store as follows. With any purchase worth of Php1000 or more, the customer gets the chance to play once the spin-the-wheel as shown below. If a number 1 comes up, the customer wins Php500. If the number 2 comes up, the customer wins Php250; and if the number 3 or 4 comes up, the customer wins a discount coupon. Find the following probabilities.a. The customer wins Php500b. The customer gets a discount couponc. The customer wins moneyEach of the four childrenDino, Sonny, Nikko, and Xian, holds a different object (fan, car, dart, and slime). From the following clues, determine who owns which object. a.Sonny is older than his friend who owns the car and younger than his friend who owns the dart. b.Nikko and his friend who owns the slime both have the same age. They are the youngest members of them. c.Dinois older than hisfriend who owns the fan.250 adults are practicing every day before taking part in a high-stakes children's game. The game requires them carefully to remove a shape- either a star or an umbrella-from a sugar wafer. 30% of those who choose stars on a given day will switch to umbrellas the next day, and 20% of those who choose umbrellas on a given day will switch to stars the next day. (a) If 150 contestants practice with stars today, how many will practice with umbrellas tomorrow? (b) If the actual game is held a long time from now, what proportion of contestants do we expect will be practicing with stars each day close to then?
- A local company is interested in supporting environmentally friendly initiatives such as carpooling among employees. The company surveyed all of the 200 employees at the downtown offices. Employees responded as to whether or not they own a car and to the location of the home where they live. The results are shown in the table below. If the person owns a car, he or she is more likely to live elsewhere in the city than to live in the downtown area in the city. If the person does not own a car, he or she is more likely to live outside the city than to live in the city (downtown area or elsewhere). The person is more likely to own a car if he or she lives in the city (downtown area or elsewhere) than if he or she lives outside the city. The person is more likely to live in the downtown area in the city than elsewhere in the city. The person is more likely to own a car than not to own a car.The majority of clothing retailers use mannequins to display their merchandise, with approximately one‑third displaying mannequins with heads and two‑thirds displaying mannequins without heads. Researchers recruited 126 female participants and assigned each to one of the two mannequin styles (head/headless). Participants were asked to imagine that they wanted to buy a new dress and told to go to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and were asked whether or not they would buy the dress. Of the 63 participants viewing the dress displayed on a mannequin with a head, 18 indicated that they would buy the dress, while only 10 of the 63 participants viewing the headless mannequin indicated that they would buy the dress. Assuming the conditions are met, calculate the test statistic and ?-value. Give the test statistic to two decimal places and ?-value to four decimal places.The majority of clothing retailers use mannequins to display their merchandise, with approximately one‑third displaying mannequins with heads and two‑thirds displaying mannequins without heads. Researchers recruited 126 female participants and assigned each to one of the two mannequin styles (head/headless). Participants were asked to imagine that they wanted to buy a new dress and told to go to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and were asked whether or not they would buy the dress. Of the 63 participants viewing the dress displayed on a mannequin with a head, 18 indicated that they would buy the dress, while only 10 of the 63 participants viewing the headless mannequin indicated that they would buy the dress. SOLVE : Are the conditions met to carry out the desired hypothesis test? One observed count of a success, namely the women who would buy a dress after seeing it on a headless mannequin, is ten,…