Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion.   A person randomly selected 100100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.050.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first​ category, but do the results support that​ expectation?   Cents portion of check ​0-24 ​25-49 ​50-74 ​75-99   Number 3131 2424 2020 2525     Click here to view the chi-square distribution table. LOADING...       Question content area bottom Part 1 The test statistic is enter your response here. ​(Round to three decimal places as​ needed.) Part 2 The critical value is enter your response here. ​(Round to three decimal places as​ needed.) Part 3 State the conclusion.   ▼   Do not reject Reject Upper H 0H0. There ▼   is is not sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results ▼   appear do not appear to support the expectation that the frequency for the first category is disproportionately high.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion.
 
A person randomly selected
100100
checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a
0.050.05
significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first​ category, but do the results support that​ expectation?
 
Cents portion of check
​0-24
​25-49
​50-74
​75-99
 
Number
3131
2424
2020
2525
 
 
Click here to view the chi-square distribution table.
LOADING...
 
 
 

Question content area bottom

Part 1
The test statistic is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 2
The critical value is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 3
State the conclusion.
 
 
Do not reject
Reject
Upper H 0H0.
There
 
is
is not
sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results
 
appear
do not appear
to support the expectation that the frequency for the first category is disproportionately high. 
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