To use a normal distribution in this scenario, which of the following conditions must be satisfied?

2020 Election ~ Bernie Sanders is a popular presidential candidate among university students for the 2020 presidential election. Leading into Michigan’s presidential primary election in 2020, a journalist, Lauren, took a random sample of 12133 university students and found that 9674 of them support Bernie Sanders. Using this data, Lauren wants to estimate the actual proportion of university students who support Bernie Sanders.

We want to use statistical inference to estimate the actual proportion of university students who support Bernie Sanders.

	The observations within the sample must be independent of each other.
	Both n×p0n×p0 and n×(1−p0)n×(1-p0) must be at least 10 where p0p0 is the null value for the population proportion.
	There must be at least 10 observed successes and 10 observed failures in the sample.
	Any two samples must be independent of each other.

Solutions

Expert Solution

To find the confidence interval or actual proportion

We first need to check

If n*p and n*(1-p) both are greater than 10

Or at least 10

To satisfy the conditions of normality

So answer is

There must be at least 10 observed successes and 10 observed failures in the sample.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Which of the following conditions must be satisfied by a successful price discrimination scheme? Select one:...

Which of the following conditions must be satisfied by a successful price discrimination scheme? Select one: a. The seller must be able to identify each customer as having a high or low value. b. The seller must be able to prevent arbitrage between the two groups. c. None of the above

LAB: The purpose of this experiment is to study the conditions that must be satisfied for...

LAB: The purpose of this experiment is to study the conditions that must be satisfied for a rigid object to be in static equilibrium. This is done by computing the total torque acting on a meter stick by means of weights suspended at specific locations on the ruler. If a baseball bat (thicker on one side than the other) is cut at the location where it balances, with both side be of equal weight? Can the meter stick be balanced...

1. Which of the following must be satisfied by the flow of any fluid, real or...

1. Which of the following must be satisfied by the flow of any fluid, real or ideal? I. Newton's second law of motion II. the continuity equation III. the requirement of a uniform velocity distribution IV. Newton's law of viscosity V. the principle of conservation of energy a) I, II, and III b) I, II, and IV c) I, II, III, and N d) I, II, and V e) I, II, N, and V

For a unique solution to the wave equation, what boundary conditions must be satisfied. a) Boundary...

For a unique solution to the wave equation, what boundary conditions must be satisfied. a) Boundary conditions are not needed for a medium with no interfaces. b) This is a trick question; all boundary conditions must be satisfied. c) The tangential boundary conditions d) The normal boundary conditions e) Continuity in solution across the boundary must be satisfied. T F (1)The loss tangent is related to the ratio of the conduction current density to the convection current density in the...

Which of the following is not a characteristic for a normal distribution? a. It is a...

Which of the following is not a characteristic for a normal distribution? a. It is a symmetrical distribution b. The mean is always zero c. The mean, median, and mode are all equal d. It is a bell-shaped distribution e. The area under the curve always equals 1.0

4.1) What three conditions must be satisfied in order to solve the critical section problem and...

4.1) What three conditions must be satisfied in order to solve the critical section problem and why? 4.2) Please answer each of the following questions briefly: a) What is deadlock avoidance? (2 points) b) What is deadlock prevention? (2 points) c) Please discuss a strategy for deadlock avoidance (3 points) d) Please discuss a strategy for deadlock prevention (3 points) 5. (Chapter 6) Please answer the following questions briefly (5 points each, total 10 points) 5.1) Explain the process of...

Consider the wave function Ψ = Ae−α|x| Which of the following boundary conditions are satisfied by...

Consider the wave function Ψ = Ae−α|x| Which of the following boundary conditions are satisfied by the wave function? Group of answer choices Ψ approaches zero as x approaches ±∞ Ψ is single valued. Ψ is finite everywhere. None of the boundary conditions are satisfied.

Which of the following is NOT a characteristic of the normal probability distribution? a....

1. Which of the following is NOT a characteristic of the normal probability distribution? a. The distribution is symmetrical. b. The mean, median, and mode are equal. c. The standard deviation must be 1. d. The mean of the distribution can be negative, zero, or positive. 2. For a standard normal distribution, P(Z 0) is a. Zero b.one D c.0.5 d.HOS

Which of the following is not a characteristic of the normal probability distribution?

Which of the following is not a characteristic of the normal probability distribution? a. symmetry b. The total area under the curve is always equal to 1. c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its meand. The mean is equal to the median, which is also equal to the mode.

NORMAL DISTRIBUTION 1. 1A. Which of the following statements are TRUE about the Normal Distribution? Check...

NORMAL DISTRIBUTION 1. 1A. Which of the following statements are TRUE about the Normal Distribution? Check all that apply. The distribution is symmetric with a single peak. 50% of the data values lie at or above the mean. Data values are spread evenly around the mean. The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. The mean, median and mode are all equal and occur at the center of the distribution....

Subjects