ouna to four decimal places) (b) Based on the p-value calculated in part (d), what is the conclusion of the hypothesis test? O Since p

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Help me learn (d)
According to the University bookstore records, 60% of the students purchase a hard copy of textbooks, 25%
of students print textbooks out from the website, and 15% of students read the textbook online. At the end
of the semester, a statistics professor asks her students to complete a survey where they indicate what
format of the book they used. Test the claim that the distribution from the professor's class is as expected
at the distribution of the all textbooks in the bookstore.
The table below shows the results the observed values, the expected values, and the value of (O-E)^2/E for
each category.
Observed
Expected
(0-E)^2/E
Buy Hard Copy
71
75.6
0.279894
Print Out
30
31.5
0.071429
Read Online
25
18.9
1.968783
(a) Calculate the chi-squared test statistic, the degrees of freedom associated with it, and the p-value.
The value of the test-statistic is: 2.32
V (please round to two decimal places) The
degrees of freedom associated with this test are: 2
V The p-value associated with
this test is: 0.3135
(please round to four decimal places) (b) Based on the p-value
calculated in part (d), what is the conclusion of the hypothesis test?
O Since p<a we fail to reject the null hypothesis
O Since p<a we reject the null hypothesis and accept the alternative
O Since p z a we accept the null hypothesis
O Since p 2 a we reject the null hypothesis and accept the alternative
O Since p 2 a we do not have enough evidence to reject the null hypothesis
P
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72
Transcribed Image Text:According to the University bookstore records, 60% of the students purchase a hard copy of textbooks, 25% of students print textbooks out from the website, and 15% of students read the textbook online. At the end of the semester, a statistics professor asks her students to complete a survey where they indicate what format of the book they used. Test the claim that the distribution from the professor's class is as expected at the distribution of the all textbooks in the bookstore. The table below shows the results the observed values, the expected values, and the value of (O-E)^2/E for each category. Observed Expected (0-E)^2/E Buy Hard Copy 71 75.6 0.279894 Print Out 30 31.5 0.071429 Read Online 25 18.9 1.968783 (a) Calculate the chi-squared test statistic, the degrees of freedom associated with it, and the p-value. The value of the test-statistic is: 2.32 V (please round to two decimal places) The degrees of freedom associated with this test are: 2 V The p-value associated with this test is: 0.3135 (please round to four decimal places) (b) Based on the p-value calculated in part (d), what is the conclusion of the hypothesis test? O Since p<a we fail to reject the null hypothesis O Since p<a we reject the null hypothesis and accept the alternative O Since p z a we accept the null hypothesis O Since p 2 a we reject the null hypothesis and accept the alternative O Since p 2 a we do not have enough evidence to reject the null hypothesis P Submit Question 72
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