A headline in a certain newspaper states that \"most stay at first job less than

Question

A headline in a certain newspaper states that "most stay at first job less than 2 years." That headline is based on an online poll of 425 college gradotes. Among those polled, 60% stayed at their first full-time jobless an 2 years Is the actual number of surveyed graduates who stayed at their first job less than two years unusual? O 1) Since the actual number is inside the range of usual values, it is unusual. 2) Since the actual number is outside the range of usual values, it is unusual. 3) Siace the actual number is outside the range of usual values, it is not unusual

Explanation / Answer

Answer:

As per given data,

Here, mean =np=425*0.6=255

std deviaiton =sqrt(np(1-p))

=sqrt(255(1-0.6))

=10.099

as usual values are within 2 std deviation from mean

Hence, usual range =mean -/+ 2*std deviation=255 -/+2*10.099 =234.802 to 275.198

as 273 falls outside of this range ; correct answer is:

option1: since the actual number is inside the range of usual values ; it is unusual.

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