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Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.10 level of significance for the test. A. Find the value of the test statistic. (Round your answer to two or more decimal places.) B. Find the critical value. (Round your answer to two or more decimal places.) C. Can we reject the hypothesis that birthdays are equally likely during each season of the year?

Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.10 level of significance for the test. A. Find the value of the test statistic. (Round your answer to two or more decimal places.) B. Find the critical value. (Round your answer to two or more decimal places.) C. Can we reject the hypothesis that birthdays are equally likely during each season of the year?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.10 level of significance for the test.

A. Find the value of the test statistic. (Round your answer to two or more decimal places.)

B. Find the critical value. (Round your answer to two or more decimal places.)

C. Can we reject the hypothesis that birthdays are equally likely during each season of the year?

 

 

Observed frequency fo Expected frequency ƒE 2 (Jo-1)² E Winter Spring 42 45 .200 46 45.00 0.022 Summer 54 45.00 1.800 Fall 38 45 1.0889 Total 180
Transcribed Image Text:Observed frequency fo Expected frequency ƒE 2 (Jo-1)² E Winter Spring 42 45 .200 46 45.00 0.022 Summer 54 45.00 1.800 Fall 38 45 1.0889 Total 180
Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (fo-fE)² JE (Observed frequency - Expected frequency)² Expected frequency
Transcribed Image Text:Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (fo-fE)² JE (Observed frequency - Expected frequency)² Expected frequency
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