SOLUTION: 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 prepare

Question 1079177: 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 10% 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.
z observed =

p-value =

Critical values: ? and ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 10% 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.
Ho: p = 0.55
Ha: p # 0.55
z(0.60) = (0.60-0.55)/sqrt[0.55*0.45/1950] = 4.438
z observed = 4.438
-----
p-value = 2*P(z > 4.438) = 2*normalcdf(4.438,100) = 0.000009082
-----
Critical values: = -1.645 and +1.645
============
Cheers,
Stan H.
------------
RELATED QUESTIONS
The Pew Research Center conducted a survey of 1007 adults and found that 856 of them know (answered by jim_thompson5910)

In a nationwide telephone poll of 1500 U.S. adults conducted for the freedom Forum by the (answered by bobbiensam)

3. According to a PEW* Research Center survey, the mean student loan at graduation is... (answered by ikleyn)

Concerned with poverty, twenty-seven adults conducted a survey. According to the... (answered by ReadingBoosters)

In a poll conducted by the Pew Research Center in 2003, a national sample of adults... (answered by stanbon)

a survey conducted . According to the survey 37% of adults are concerned that employers... (answered by stanbon)

A nationwide survey of 1001 people by the University of Connecticut Center for Survey... (answered by ewatrrr)

According to a survey, 40% of adults are against using animals for research. Assume that... (answered by ikleyn)

An increasing number of consumers believe they have to look out for themselves in the... (answered by ikleyn)