Question

Based on a Harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. If we randomly select five adults, is 1 a significantly low number who say that they were too young to get tattoos?

Answer 1

Answer: No. It is not

Explanation:

From question we were given:

Percentage of people who regret getting a tattoo= 20% = 0.20.

From binomial P (X =x)

= {n! × p^x × ( 1- p)^ n-x} ÷ {x! × ( n- x)!}

From addition rule of mutually exclusive events. We have :

P( A or B) = P (A) + P(B)

Solving the binomial probability using x = 0.1

P ( x = 0) = {5! × 0.20^0 × ( 1- 0.20) ^ 5 - 0)} ÷ { 0! ( 5 - 0)!} = 0.3277

P ( x = 1) = {5! × 0.20^1 × ( 1- 0.20) ^ 5 - 1)} ÷ { 1! ( 5 - 1)!} = 0.4096

Using addition rule for mutually exclusive event

P = P( x= 0) + P ( x = 1) = 0.3277+ 0.4096

P = 0.7373

The probability is greater than 0.05, the event likely to occur thus 1 is not low outcome.