Question
Asked Oct 27, 2019
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A Harriss poll taken surveyed 2016 adults and found that 423 of them had one or more tattoos. can you conclude that the percentage of adults who have a tattoo is less than 25%? Use the a=0.01 level of significance.

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Expert Answer

Step 1

The hypotheses for the test is given below.

Null hypothesis:

H0: p = 0.25

Alternative hypothesis:

H1: p < 0.25

Step 2

The test statistic is obtained as follows.

р-Р
P(1- Р)
п
423
- 0.25
2,016
-,x= 382,n= 500
P
0.25(1-0.25)
п
2,016
--4.17
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р-Р P(1- Р) п 423 - 0.25 2,016 -,x= 382,n= 500 P 0.25(1-0.25) п 2,016 --4.17

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Step 3

p-value:

Here, the test statistic value is –4.17 and the test is left...

p-value P(s-4.17)
Using standard nomal table)
=0.0001
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p-value P(s-4.17) Using standard nomal table) =0.0001

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