Test the hypothesis that births in the US are equally likely to occur any day of the week. Use the data below (From the National Center for Health Statistics). Use an α=.01 level of significance.  Sun Mon Tues Wed Thurs Fri Sat 77 110 124 122 120 123 97  What are the null and alternative hypothesis?  Give a table with the observed result for number of births each day of the week, along with the expected value assuming the null hypothesis. Find the test statistic x^2. Show your work.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Test the hypothesis that births in the US are equally likely to occur any day of the week. Use the data below (From the National Center for Health Statistics). Use an α=.01 level of significance. 

Sun Mon Tues Wed Thurs Fri Sat
77 110 124 122 120 123 97

 What are the null and alternative hypothesis?

 Give a table with the observed result for number of births each day of the week, along with the expected value assuming the null hypothesis.

Find the test statistic x^2. Show your work.

What is the critical value? What should we use for the value df (degrees of freedom)? Use the chi-square table 

 Should we reject the null hypothesis? Explain using the critical value from the table and the test statistic you calculated.

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