Question 10 options:

In their reporting on this era of house-bound isolation, CTV Canada kept noting many people with bad haircuts. Hashtags like #pandemicbangs and #coronacuts are trending on social media. CTV Canada decided to take an informal poll to see how many people are getting their hair cut at home. You have taken their data and divided it based on age groups to see if the likelihood that a person cut's their own hair depends on their age. You summarized the data below.

Ages

Haircut at home?

18-34

35-55

55+

TotalYes

1,416

304

856

2,576

No

1,928

689

1238

3,855

Total3,344

993

2,094

6,431

Part A:What percentage of young adults (18-34) cut their own hair at home?[2 marks]

ANSWER (Percentage, 2 decimal places):

Part B:Among those who cut their own hair at home, what percentage of them are 35 years or older?[2 marks]

ANSWER (Percentage, 2 decimal places):

Part C:Is there enough evidence to conclude that a person's willingness to cut their own hair depends upon their age?

Part 1 (2 marks):What should your null/alternative hypotheses be?

1. H₀: A person's willingness to cut their own hairdependson their age

H_A: A person's willingness to cut their own hair isindependentof their age

1. H₀: A person's willingness to cut their own hair isindependentof their age

H_A: A person's willingness to cut their own hairdependson their age

1. H₀: There is a linear relationship between willingness to cut their own hair and age

H_A: There is no linear relationship between willingness to cut their own hair and age

1. H₀: There is no linear relationship between willingness to cut their own hair and age

H_A: There is a linear relationship between willingness to cut their own hair and age a

1. H₀: All means are the same

H_A:At least one mean is different

Enter the LETTER of the correct answer

Part 2 (1 mark):What are the degrees of freedom for your hypothesis test?

Part 3 (2 marks):What is the critical value at a 5% significance level?(3 decimal places)

The expected values calculated are listed in the table below

AgesHaircut at home?18-3435-5555+TotalYes1,339.47397.76838.772,576No2,004.53595.241,255.233,855Total3,3449932,0946,431

Part 4 (2 marks):The calculation yields ²_test= 44.75.At a 5% significance level, what is your decision?

Decision with Justification:

Part 5 (1 mark):Conclusion.

1. Yes, there is enough evidence to conclude that a person's decision for a haircut at home depends on his/her age
2. No, there is NOT enough evidence to conclude a person's decision for a haircut at home depends on his/her age

Write down the LETTER of the correct answer