A marketing research company has been engaged by a mobile app development company to conduct a survey on the mobile Operation System (OS) preference of Male and Female mobile users. A survey was conducted on 500 randomly selected mobile users and following is the result: Mobile OS Robot Gender Male Female iOX Wins 134 80 45 63 128 50 Assume the survey result is a good representation of the population. A user is randomly selected from the population. Calculate, leaving your answers as fractions: a) The probability that a randomly selected mobile user is a female and prefers iOX. b) The probability that a randomly selected mobile user who prefers either iOX or Wins is a female. c) The probability that a male mobile user prefers either Robot or Wins.
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- A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so. The firm did a similar study 10 years ago and found that 70% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. The company tests to determine at the 0.01 level whether the population proportion has changed from the previous study. Which of the following is most correct? Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has changed over the past 10 years. Do not reject the null hypothesis and conclude that there is not sufficient evidence that the pro- portion of employees who are…The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 679679 employed persons and 690690 unemployed persons are independently and randomly selected, and that 429429 of the employed persons and 369369 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.05α=0.05 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test.The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 679679 employed persons and 690690 unemployed persons are independently and randomly selected, and that 429429 of the employed persons and 369369 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.05α=0.05 for the test. Step 6 of 6 : Make the decision for the hypothesis test.
- The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 679679 employed persons and 690690 unemployed persons are independently and randomly selected, and that 429429 of the employed persons and 369369 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.05α=0.05 for the test. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.Patients immobilized for a substantial amount of time can develop deep vein thrombosis (DVT), a blood clot in a leg or pelvis vein. DVT can have serious adverse health effects and can be difficult to diagnose. On its website, drug manufacturer Pfizer reports the outcome of a study looking at the effectiveness of the drug Fragmin (dalteparin) in preventing DVT in immobilized patients. Of the 1518 randomly chosen immobilized patients given Fragmin, 42 experienced a complication from DVT. Of the 1473 randomly chosen immobilized patients given a placebo, 73 experienced a complication from DVT. Compute the proportion (risk) of patients experiencing DVT complications for immobilized patients treated with Fragmin. (Enter the proportion with 4 decimal places. DO NOT enter the percent.)Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive Herbicide A. The remainder of the seedlings is assigned to receive Herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period the height in centimeters is recorded for each seedling. The following results are obtained: Mean Std. Dev. Herbicide A 94.5 cm 10 cm Herbicide B 109.1 cm 9 cm Reference: Ref 7-14 Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. Find the P-value for this test assuming the standard deviations of the two populations are equal.
- Subjects with pre‑existing cardiovascular symptoms who were receiving subitramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 97139713overweight or obese subjects with preexisting cardiovascular disease and/ or type 22diabetes. The subjects were randomly assigned to subitramine (49974997subjects) or a placebo (47164716subjects) in a double‑blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 581581subjects in the subitramine group and 474474subjects in the placebo group.Do the data give good reason to think that there is a difference between the proportions of treatment and placebo subjects who experienced the primary outcome?(a) State hypotheses, find the test statistic and use either software or the bottom row of Table A…A mobile computer network consists of a number of computers (called nodes) that communicate with each other while moving throughout a region. A node that is out of transmission range of the other nodes, so that it is unable to communicate, is said to be partitioned. In studies carried out at the Colorado School of Mines, S. Kurkowski found that in a network containing 185 nodes in which destinations were chosen at random from a uniform distribution, 19 nodes were partitioned. J. Norman found that in a network containing 164 nodes whose movements mimicked those on a college campus, 30 nodes were partitioned. Find a 99% confidence interval for the difference between the proportions of partitioned nodes in the two networks.In a large clinical trial, 394 comma 345394,345 children were randomly assigned to two groups. The treatment group consisted of 195 comma 912195,912 children given a vaccine for a certain disease, and 2626 of those children developed the disease. The other 198 comma 433198,433 children were given a placebo, and 8585 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n 1n1, ModifyingAbove p with caret 1p1, ModifyingAbove q with caret 1q1, n 2n2, ModifyingAbove p with caret 2p2, ModifyingAbove q with caret 2q2, p overbarp, and q overbarq. n 1n1equals=nothing
- A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1 Factor 2: Type of Contact Automated Bank Representative Row Means Morning 6, 5, 8, 4 x = 5.75 8, 7, 9, 9 x = 8.25 Row 1 x = 7.00 Afternoon 3, 5, 6, 5 x = 4.75 9, 10, 6, 8 x = 8.25 Row 2 x = 6.50 Evening 5, 5, 7, 5 x = 5.50 9, 10, 10, 9 x = 9.50 Row 3 x = 7.50 Column Means Column 1 x = 5.33 Column 2 x = 8.67 Total x = 7.00 For the two-measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: (a) There is no difference in population mean satisfaction depending on time of contact. (b) There is no difference in population mean satisfaction depending on type of customer contact. (c) There is no interaction between type of contact and time…A pet food company has a business objective of expanding its product line beyond its current kidney- and shrimp-based cat foods. The company developed two new products, one based on chicken liver and the other based on salmon. The company conducted an experiment to compare the two new products with its two existing ones, as well as a generic beef-based product sold in a supermarket chain. For the experiment, a sample of 50 cats from the population at a local animal shelter was selected. Ten cats were randomly assigned to each of the five products being tested. Each of the cats was then presented with 3 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute time interval that began when the filled dish was presented. The results of this experiment are summarized in the following table: Kidney Shrimp Chicken Liver Salmon Beef 2.37 2.26…. A survey of schools of business indicates that 16% of the faculty positions in schools of business are currently vacant. A placement service working for a renowned university wants to test whether the claim is true and collects information on a random sample of 300 business faculty positions chosen from universities around the country. The results indicate that 51 out of the 300 positions surveyed are vacant. Use α = 0.05 to conduct the test.