A student interviewing at a major company wants to know his chances of getting a job offer. He surveyed 18 alumni that had interviewed with the company and found nine of them had received a job offer. Construct and interpret a 90% confidence interval for the population proportion. Write your interval in inequality notation, rounded to the nearest 4 decimal places. Interpret your interval in the context of the question. Be sure to write down any calculator steps/tests you did.
Added by Laquashia W.
Step 1
The sample proportion (\( \hat{p} \)) is the number of successes (people who received job offers) divided by the total number of trials (total alumni interviewed). In this case, 9 out of 18 alumni received job offers, so: \[ \hat{p} = \frac{9}{18} = 0.5 \] Show more…
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