Please math help!
A sample proportion of 0.78 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of (NS. The minimum sample proportion from the simulation is 0.62, and the maximum sample proportion from the simulation is 0.80. The margin of error of the population proportion is found using half the range. What is the interval estimate of the tme population proportion? o (0.64, 0.92) 0 (072,034) 0 (074,032) 0 (0.69, 0.87) Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3, 4, 5 and 5. There are two options describing how the token will be moved. Option A: If the product is even, move forward 4 spaces. Otherwise, move backward 8. Option B: if the product is even, move forward 5 spaces. Otherwise, move backward 9. Use mathematical expectation to deten'nine which option offers the greater likelihood of moving closer to the finish line on the game board. Which statement best explains the better option? The mathematicai expectation of Option A is 1.5. The mathematical expectation of Option B is 1. Option A offers a greater Eil-(eEihoc-d of advancing to the nish line. The mathematical expectation of Option A is 1.5. The mathematical expectation of Option B is 1. Option 13 offers a greater Eil-tetihood of advancing to the nish line. The mathematicat expectation of Option A is t. The mathematical expectation of Option B is 1.5. Option A offers a greater Eikeiihood of advancing to the nish line. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option 3 offers a greater Iikefihood of advancing to the nish line. A gym surveyed 100 female members. These members were chosen at random from the gym's membership database. Participants were asked the question. \"Do you prefer to use the easy weight-lifting machines or the harder free weights?" A report of the survey results stated that female members at the gym prefer the weight-lifting machines over the free weights. Select all statements that correctly evaluate the report. The question is biased towards a response of preferring to use free weights. The sample is not biased. The question is biased towards a response of preferring to use weight-lifting machines. The question is not biased. El [3 C] D D The sample is biased because it does not represent the population. The results of a poll show that the percent of people who want a new restaurant is in the interval (24%, 38%). There are t12,483 people in the city. What is the interval for the number of people who are likely to want this restaurant in their city? Round to the nearest person. Enter your answer in the boxes. (:= |:|) Agym is considen'ng changing its operating hours at multiple locations in a city. The gym management wants to know what percent of its 436? members would utilize the new hours of operation, so they plan to survey 500 members. What is the best way to randomly choose these 500 members? 0 Enter all members' names into a computer software program that will randomly pick the 500 members. 0 Let the gym management decide which members should be surveyed. Pick a letter from the alphabet and the rst 500 members whose rst or last name begins with that letter wilt be in the survey. 0 0 Choose the 500 members who have the highest attendance rates in the gym. What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study' for each scenario. . Observational S t urvey Expenmen study A coach wants to know who his fastest runner is. O O O A coach wants to know how many hours of sleep each member of the team gets 0 O 0 before a meet. A coach wants to know the effect of drinking a certain sports drink during an O O O intense practice. A coach wants to know how losing affects the team. 0 O O
