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 150 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.
Transcribed Image Text:Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal pla to three or more decimal places. Send data to Excel Observed frequency fo Expected frequency ƒE 2 (fo-fe)² ƒE Part 2 Winter Explanation 32 I Spring Summer Fall Total Check 37 37.50 0.007 33 37.50 0.540 48 1 1 150 X Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the yea significance for the test. S
Transcribed Image Text:Expected frequency ƒE (fo-fe)² SE Part 2 1 1 37.50 Explanation 0.007 37.50 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ EPIC Cas 0.540 Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.05 level of significance for the test. Check (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0 0 (d) Can we reject the hypothesis that birthdays are equally likely during each season of the year? Yes O NO 0 जितेक 9+ 2 NEXT X 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility *****************UAR

Question

Are birthdays &#34;evenly distributed&#34; 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 150 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. Part 1Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal plato three or more decimal places.Send data to ExcelObservedfrequencyfoExpectedfrequencyƒE2(fo-fe)²ƒEPart 2WinterExplanation32ISpring Summer Fall TotalCheck3737.500.0073337.500.5404811150XAnswer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the yeasignificance for the test.S ExpectedfrequencyƒE(fo-fe)²SEPart 21137.50Explanation0.00737.50(a) Determine the type of test statistic to use.Type of test statistic: (Choose one) ▼EPICCas0.540Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.05 level ofsignificance for the test.Check(b) Find the value of the test statistic. (Round your answer to two or more decimal places.)0(c) Find the p-value. (Round your answer to three or more decimal places.)00(d) Can we reject the hypothesis that birthdays are equally likely during each season of the year?Yes O NO0जितेक9+2NEXTX2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility*****************UAR

Accepted Answer

Given that, The data were obtained from a random sample of 150 people.