The Statistics Games are played by a large number of students across the county. Last year, 32% of Clayton State participated in the Games. You wonder: “Has the proportion increased this year?”. To find out, you take a random sample of 250 CSU students and ask them if they participated in the Games this year. You find that 38% did. Do you reject or fail to reject the null, using a significance level of 5%? What does that mean, in context of the problem?    A We reject the null. There is strong evidence that the proportion of CSU students who participated in this year's Games has increased from 32%. B We fail to reject the null. There is evidence that the percent of CSU students who participate is 38%. C We fail to reject the null. There is strong evidence that the proportion of CSU students who participated in this year's Games has increased from 32%. D We fail to reject the null. There is not enough evidence to say that the proportion of CSU students who participated in this year's Games has increased. E We reject the null. There is evidence that the percent of CSU students who participate is 38%.

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
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The Statistics Games are played by a large number of students across the county. Last year, 32% of Clayton State participated in the Games. You wonder: “Has the proportion increased this year?”. To find out, you take a random sample of 250 CSU students and ask them if they participated in the Games this year. You find that 38% did. Do you reject or fail to reject the null, using a significance level of 5%? What does that mean, in context of the problem?   
A
We reject the null. There is strong evidence that the proportion of CSU students who participated in this year's Games has increased from 32%.
B
We fail to reject the null. There is evidence that the percent of CSU students who participate is 38%.
C
We fail to reject the null. There is strong evidence that the proportion of CSU students who participated in this year's Games has increased from 32%.
D
We fail to reject the null. There is not enough evidence to say that the proportion of CSU students who participated in this year's Games has increased.
E
We reject the null. There is evidence that the percent of CSU students who participate is 38%.
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