Suppose it is known that approximately 7 percent of adults who take a certain medication will experience side effects. Which of the following simulations could model the number of individuals who will experience side effects if the medication is given to 390 adults?(1 point)

Responses

a coin simulation, with heads indicating that side effects will be present
a coin simulation, with heads indicating that side effects will be present

a random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present
a random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present

a spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present
a spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present

a number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present
a number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present
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1 answer

To model the number of individuals who will experience side effects from the medication given to 390 adults, we need to consider the probability that any given individual will experience side effects, which is 7% or 0.07.

Key Points:

  • 7% means that approximately 7 out of every 100 individuals will experience side effects.
  • In a simulation, you want to represent this probability accurately.

Evaluating the response options:

  1. Coin Simulation (with heads indicating side effects):

    • This does not represent 7%, as a coin only has two outcomes (50% chance for each side).
  2. Random Number Chart Simulation (where drawing a 23 indicates side effects, assuming a range of 1-100):

    • If we assume that numbers 1 to 7 represent side effects (which covers the 7%), this could work well. However, since it’s not stated how many represent side effects, we cannot conclude it's appropriate without further context.
  3. Spinner Simulation (with 14 equally spaced sections, with section 2 indicating side effects):

    • This is also not appropriate as it gives a 1 in 14 chance (approximately 7.14%), which is slightly off but quite close. Still, it's not a direct representation.
  4. Number Cube Simulation (with a six-sided die where rolling a 3 indicates side effects):

    • This gives a 1 in 6 chance (approximately 16.67%), which is significantly higher than 7%.

Given these evaluations, none of the options perfectly fit for a direct representation of 7%. However, the random number chart where you might represent numbers 1-7 as side effects (though it's not explicitly stated) is the best option among the choices provided, assuming a drawing of 1-7 indicates side effects.

Thus, if we had to select one based on the provided choices, the random number chart simulation is the most suitable choice if numbers are allocated such that 1-7 indicate the 7% occurrence.