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.
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.
- 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.
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