**Description:**This image contains a statistical problem and related calculations focused on determining if there is significant evidence, at a 5% significance level, that the percentage of college graduates who say college education prepared them for a job is different from 55%. **Text Transcript for Educational Website:**---**Understanding the Significance of College Education in Job Preparedness***Research Background:*According to a Pew Research Center nationwide telephone survey conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (*Time*, May 30, 2011). Our objective is to evaluate whether this percentage has significantly changed over time. Recently, a sample of 1950 college graduates showed a slightly higher percentage, with 60% reporting that college education prepared them for their jobs.*Statistical Evaluation:*We aim to determine if the current percentage of all college graduates who will say that college education prepared them for a job differs from the previous 55% at a 5% significance level. We will use the z-test and analyze the results based on the p-value and critical-value approaches.*Instructions for Calculation:*1. **Z observed:** Calculate and insert the observed value of z, rounding to two decimal places. 2. **P-value:** Compute the p-value, rounding to four decimal places.3. **Critical Values:** Determine and input the critical z-values in ascending order, rounding to two decimal places.*Concluding Analysis:*Evaluate whether the current percentage of college graduates stating that their education prepared them for the job is "different from" or "not different from" 55%, using the dropdown options. This decision is based on the statistical conclusion derived from the p-value and critical values.**Interactive Elements:**- Input fields for z_observed, p-value, and critical values- Dropdown selection to conclude if the percentage is "different from" or "not different from" 55%.---*Note: The information is based on a past study to illustrate statistical hypothesis testing in educational contexts.*

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According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (Time, May 30, 2011). Suppose this result was true of all college graduates at that time. In a recent sample of 1950 college graduates, 60% said that college education prepared them for a job. Is there significant evidence at a 5% significance level to conclude that the current percentage of all college graduates who will say that college education prepared them for a job is different from 55%? Use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Enter the critical values in increasing order. Zobserved= p-value = i Critical values: i and We can conclude that the current percentage of all college graduates who will say that college education prepared them for a job is 55%. different from dia

According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (Time, May 30, 2011). Suppose this result was true of all college graduates at that time. In a recent sample of 1950 college graduates, 60% said that college education prepared them for a job. Is there significant evidence at a 5% significance level to conclude that the current percentage of all college graduates who will say that college education prepared them for a job is different from 55%? Use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Enter the critical values in increasing order. Zobserved= p-value = i Critical values: i and We can conclude that the current percentage of all college graduates who will say that college education prepared them for a job is 55%. different from dia

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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