If there is no seasonal effect on human​ births, one would expect equal numbers of children to be born in each season​ (winter, spring,​ summer, and​ fall). A student takes a census of her statistics class and finds that of the 120 students in the​ class, 26 were born in​ winter, 37 in​ spring, 31 in​ summer, and 26 in fall. She wonders if the excess in the spring is an indication that births are not uniform throughout the year. Complete parts​ a) through​ c) below. A. What is the expected number of births in each season if there is no​ "seasonal effect" on​ births? B. Compute the chi squared​-statistic. C. How many degrees of freedom does the chi squared​-statistic have?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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If there is no seasonal effect on human​ births, one would expect equal numbers of children to be born in each season​ (winter, spring,​ summer, and​ fall). A student takes a census of her statistics class and finds that of the 120 students in the​ class, 26 were born in​ winter, 37 in​ spring, 31 in​ summer, and 26 in fall. She wonders if the excess in the spring is an indication that births are not uniform throughout the year. Complete parts​ a) through​ c) below.

A. What is the expected number of births in each season if there is no​ "seasonal effect" on​ births?

B. Compute the chi squared​-statistic.

C. How many degrees of freedom does the chi squared​-statistic have?

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