Purchase Solution

probability of sample proportion by normal approxiamtion

Not what you're looking for?

Ask Custom Question

40% of households prefer new package.

The probability that a random sample of 300 households will have a sample proportion greater than .45 is: ______

The probability that the 300 household sample proportion will be between .35 and .45 is: _____.

Purchase this Solution
Solution Summary

The solution shows how to calculate the probability of sample proportion, which has an approximately normal distribution.

Solution Preview

Please see the attached file for detailed solution.

40% of households prefer new package.

The probability that a random sample of 300 households will have a sample proportion greater than .45 is: ______

The ...

Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • calculating the probability for population proportion

    What is the probability that the sample proportion will be within ± .04 of the population proportion? a. By the central limit theorem, the sampling distribution of proportion is normal with mean 0.56 and variance=56%*(1-56%)/400=0.000616 b.

  • Statistics - Normal distribution

    Of all the possible sample means, what proportion of the sample means will be greater than 82? _________________% 19. What proportion of sample means will be less than 70? _________________% 20.

  • Statistics: Probabilities of normal distribution of ACT scores; poll for education vouchers

    The sampling distribution of sample proportion is normal with mean = population proportion = 0.43 and standard deviation = =0.0264 b. What is the probability that the sample proportion will fall within 0.03 of the population proportion?

  • Airplane Safety: Probability Analysis

    What is the probability of getting a sample that misses the truth (62%) by 1.5% or more?

  • Statistics of ways Americans relieve stress

    b) Is the distribution of p^ approximately normal? Justify your answer. c) What is the probability that the sample proportion p^ exceeds 82%? d) What is the probability that the sample proportion lies between 83% and 88%?

  • Estimating the first-time customers from a random sample

    What is the probability that the sample proportion will be between .20 and .40 (to 4 decimals)? What is the probability that the sample proportion will be between .25 and .35 (to 4 decimals)?

  • Sampling Distribution of Sample Proportion

    406061 Sampling Distribution of Sample Proportion.. 1) A store has determined that 25% of all sales are credit sales. A random sample of 75 sales is selected. What is the probability that the sample proportion will be: a) greater than .34?

  • Probability Based on the Sampling Distribution

    What is the probability that the sample proportion will be within +-.03 of the population proportion. 1.

  • Probability

    Then we know that p^ follows roughly normal distribution (by the large number law) with mean p=0.5 and standard deviation sigma=square root of p(1-p)/n =0.0141.

View More Related Solutions