5.70 The ideal number of children. "What do you thinkis the ideal number of children for a family to have?" AGallup Poll asked this question of 1020 randomly chosenadults. Slightly less than half (48%) thought that a total oftwo children was ideal.20 Suppose that p = 0.48 is exactlytrue for the population of all adults. Gallup announceda margin of error of ±4 percentage points for this poll.What is the probability that the sample proportion p foran SRS of size n = 1020 falls between 0.44 and 0.52? Yousee that it is likely, but not certain, that polls like this giveresults that are correct within their margin of error. Wesay more about margins of error in Chapter 6.

Introduction: Denote p as the true population proportion of adults who thought that a total of two…

Answered: 5.70 The ideal number of children.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Previously, an organization reported that teenagers spend 8.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 8.3, 8.5, 10.5, 2.9, 6.7, 7.7, 13.8, 7.8, 8.7, 11.8, 12, 6.1, 5.4, 5.8, 8.5, 7.9, 10.1,11.1, 11.6, 12.9, 3.6, 6.4, 11.2 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: ??v H: ? v ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. v with By the Central Limit Theorem, we know that the point estimates are Select an answer and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P? v? v = P(| ? ♥| ? v
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly selected, what is the probability that the subject is not lying? Is the result close to the probability of 0.476 for a negative test result? Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 16 39 Negative test results 36 14 The probability that a randomly selected polygraph test subject was not lying is (Type an integer or decimal rounded to three decimal places as needed.) Is the result close to the probability, rounded to three decimal places, of 0.476 for a negative test result? because there is a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.
What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):
Approximately 8% of males experience red-green color blindness. Suppose a random sample of 200 men is chosen.
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