##### 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#9210217 | Written in 27-Jul-2016

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