In looking at the results of a standardized exam, 72% of those taking the test choose the correct answer on the first question. Answer the following for 400 test takers who are to be randomly chosen. After taking the sample and administering the test, 320 of the test takers answer the first question correctly. The sample proportion is ____________________. Find the mean and variance for the distribution of sample proportions from samples of size n = 400. Mean: __________________ Variance: ___________________ The probability is ____________________ for taking another random sample of size n = 400 test takers and more than 75% of them getting the correct answer on this question.

In looking at the results of a standardized exam, 72% of those taking the test choose the correct answer on the first question. Answer the following for 400 test takers who are to be randomly chosen. After taking the sample and administering the test, 320 of the test takers answer the first question correctly. The sample proportion is __________. Find the mean and variance for the distribution of sample proportions from samples of size n = 400. Mean: Variance: _ The probability is __________ for taking another random sample of size n = 400 test takers and more than 75% of them getting the correct answer on this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 8PPS

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Question

In looking at the results of a standardized exam, 72% of those taking the test choose the correct answer on the first question. Answer the following for 400 test takers who are to be randomly chosen. After taking the sample and administering the test, 320 of the test takers answer the first question correctly.

The sample proportion is ____________________.

Find the mean and variance for the distribution of sample proportions from samples of size n = 400.

Mean: __________________ Variance: ___________________

The probability is ____________________ for taking another random sample of size n = 400 test takers and more than 75% of them getting the correct answer on this question.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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