Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 390 elementary school teachers and 269 high school teachers. Of the elementary school teachers, 228 said they were very satisfied with their jobs, whereas 123 of the high school teachers were very satisfied with their work. Estimate thedifference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% CI. (Use Pelementary Phigh school Round your answers to four decimal places.)USE SALT

Given that N1=390, X1=228, n2=269, X2=123

Answered: Do teachers find their work rewarding…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 392 elementary school teachers and 268 high school teachers. Of the elementary school teachers, 226 said they were very satisfied with their jobs, whereas 122 of the high school teachers were very satisfied with their work. Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% CI. (Use Pelementary Phigh school. Round your answers to four decimal places.) USE SALT Interpret your 95% confidence interval. O We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls between these values. O We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls outside these values. O We are…
Mr. Tabor believes that less than 75% of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. We want to test ?0:?=0.75;??:?<0.75H0:p=0.75;Ha:p<0.75, where ?p = the true proportion of the students at Mr. Tabor’s school who completed their math homework last night. A significance test yields a ?P-value of 0.1265. What it would mean for the null hypothesis to be true in this setting? 1. Mr. Tabor’s students complete 75% of their homework last night. 2.cIf ?0:?=0.75H0:p=0.75 is true, then the proportion of the homework that the students at Mr. Tabor’s school completed last night is 0.75. 3. If ?0:?=0.75H0:p=0.75 is true, then the proportion of the sample who completed their homework last night is 0.75. 4. If ?0:?=0.75H0:p=0.75 is true, then the proportion of all students at Mr.…
The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 260 Americans is administered the acupuncturists treatment and 31 report experiencing migraines.a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^=c. Suppose the P-value is calculated to be 0.0427What would your decision be for this test using α=α= 0.05? fail to reject the null reject the null accept the null Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.
Imagine that the figure below represents two means with their respective 95% Cls in a paired design. Either use this information to estimate the (approximate) p-value or explain why this is not possible.
Mr. Tabor believes that less than 75% of the students at his school completed their math homework last night. The ma th teachers inspect the homework assignments from a random sample of 50 students at the school. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. We want to test Ho p = 0.75 H. p + 0.75 where p = the true proportion of the students at Mr. Tabor's school who completed their math homework last night. A significance test yields a P-value of 0.1265. What conclusion would you make at the a = 0.05 level? O Because the P-value is greater than = 0.05, we fail to reject Ho. O Because the P-value is higher than the difference between the population parameter and the sample statistic, we fail to reject Ho. Because the P-value is too less than a = 0.05, we fail to reject Ho. O Because the P-value is less than a = 0.05, we reject Ho. O Because the P-value is greater than x =…
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In 1995, it was determined that 78% of US citizens supported a ban on household aerosols. Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. In a SRS of 400 citizens taken this year, 332 supported the ban. Determine the value of the appropriate test statistic to perform this test. Round to 3 decimal places.
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