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Question 1: A manufacturer produces five types of toys: Teddy-(Answered)

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Question 1:

A manufacturer produces five types of toys: Teddy Bear, Hello Kitty, Elsa, Anna and Superman. He wants to test that kids? choices of these toys are not random. He conducted a survey to ask 10,000 kids to select one of their favorite toy. The result is summarized in the following table.

Teddy Bear

Hello Kitty

Elsa

Anna

Superman

750

2130

3020

2950

1150

Conduct a Chi-Square Goodness-of-Fit test to test that kids do not select toys randomly. Use the significance level of 0.05

(a) State the null and alternative hypothesis. Also specify the type of test.

????????????????????????

??????????????????????????????????????????? Ho:

??????????????????????????????????????????? Ha:

(b) Insert the table ?Goodness-of-Fit Test Table?

(c) State the p-value from table from (b). Compare with the significance level

(d) Make the conclusion. Explain whether we have strong evidence to support/reject the claim.

Question 2:

A researcher wants to test whether a 6 sided die is not fair. He rolled the die 2400 times and got the following result:

one dot

two dots

three dots

four dots

five dots

six dots

530

430

730

439

150

121

Conduct a Chi-square Goodness-of-Fit analysis to test that the die is not fair. Use the significance level of 0.05

(a) State the null and alternative hypothesis. Also specify the type of test.

????????????????????????

??????????????????????????????????????????? Ho:

??????????????????????????????????????????? Ha:

(b) Insert the table ?Goodness-of-Fit Test Table?

(c) State the p-value from table from (b). Compare with the significance level

(d) Make the conclusion. Explain whether we have strong evidence to support/reject the claim.


STATS 240 Class Section: #

 

Lab Report #7

 

Student Name: XXXXXX

 

Student ID: #######

 


 

Question 1:

 

A manufacturer produces five types of toys: Teddy Bear, Hello Kitty, Elsa, Anna and

 

Superman. He wants to test that kids? choices of these toys are not random. He

 

conducted a survey to ask 10,000 kids to select one of their favorite toy. The result is

 

summarized in the following table.

 

Teddy

 

Bear

 

750

 


 

Hello Kitty

 


 

Elsa

 


 

Anna

 


 

2130

 


 

3020

 


 

2950

 


 

Superma

 

n

 

1150

 


 

Conduct a Chi-Square Goodness-of-Fit test to test that kids do not select toys

 

randomly. Use the significance level of 0.05

 

(a) State the null and alternative hypothesis. Also specify the type of test.

 

Ho:

 

Ha:

 

(b) Insert the table ?Goodness-of-Fit Test Table?

 


 

(c) State the p-value from table from (b). Compare with the significance level ?

 


 

(d) Make the conclusion. Explain whether we have strong evidence to support/reject

 

the claim.

 


 

Question 2:

 

A researcher wants to test whether a 6 sided die is not fair. He rolled the die 2400

 

times and got the following result:

 

one dot

 


 

two dots

 


 

three dots

 


 

530

 


 

430

 


 

730

 


 

four

 

dots

 

439

 


 

five dots

 


 

six dots

 


 

150

 


 

121

 


 

Conduct a Chi-square Goodness-of-Fit analysis to test that the die is not fair. Use the

 

significance level of 0.05

 

(a) State the null and alternative hypothesis. Also specify the type of test.

 

Ho:

 

Ha:

 

(b) Insert the table ?Goodness-of-Fit Test Table?

 


 

(c) State the p-value from table from (b). Compare with the significance level ?

 


 

(d) Make the conclusion. Explain whether we have strong evidence to support/reject

 

the claim.

 


 

 

Paper#9210215 | Written in 27-Jul-2016

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