A temp agency makes a claim that eighty percent of their workers are placed within three days of signing up for a job. To test this claim, we take a sample of 150 workers and find that 117 of them were placed within 3 days. Is there enough evidence to conclude that the percentage is not equal to 80% at the 5% level of significance. Compute the p-value and interpret its meaning.

Is my work correct?

null hypothesis = p=.8

alternative hypothesis= p doesn't equal .8

z score of -.61

p-value=.5418

p-value>a - failure to reject null hypothesis