After conducting a study to determine the gender of characters which appear most on cereal boxes, the manager of a large supermarket believes that of the 1386 character whose gender was determined, 996 (72%) were male characters and 390 (28%) were female characters. Does the survey support the manager’s belief about the frequency of male characters appear more often than female characters on cereal boxes? Use a significance level of 0.05. Restate the question as a null and alternative hypothesis. H0: H1:   State the level of significance. Level of significance =   Determine the degrees of freedom. Degrees of freedom =   Determine the test statistic by filling in the table below:   Observed freq (O) Expected freq (E) (O – E) (O – E)2 (O – E)2/E (O – E)2/E Male             Female                               Test statistic =   Determine the Critical value. State your conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Question

After conducting a study to determine the gender of characters which appear most on cereal boxes, the manager of a large supermarket believes that of the 1386 character whose gender was determined, 996 (72%) were male characters and 390 (28%) were female characters. Does the survey support the manager’s belief about the frequency of male characters appear more often than female characters on cereal boxes? Use a significance level of 0.05.

  1. Restate the question as a null and alternative hypothesis.

H0:

H1:

 

  1. State the level of significance.

Level of significance =

 

  1. Determine the degrees of freedom.

Degrees of freedom =

 

  1. Determine the test statistic by filling in the table below:



 

Observed freq (O)

Expected freq (E)

(O – E)

(O – E)2

(O – E)2/E

(O – E)2/E

Male

 

 

 

 

 

 

Female

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Test statistic =


 

  1. Determine the Critical value.


  2. State your conclusion.

 

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