Olivia attends school at the University of Alberta and decides to compile a contingency table of students who are taking various degrees. She surveys a group of students, and the data she collects is listed in the contingency table below. Olivia want to see if degree and book reading are dependent variables. PhD Masters Undergraduate Reads books 15 24 73 Does not read books 14 28 65 (a) In performing this statistical test, state the hypotheses. Ho: The proportion of students who do not read books is the same as the proportion of book-reading students vs. Ha: The proportion of students who do not read books is not the same as the proportion of book-reading students Ho: Degree is related to book reading vs. Ha: Degree is not related to book reading Ho: Degree and book reading are independent vs. Ha: Degree and book reading are dependent Ho: Degree and book reading are dependent vs. Ha: Degree and book reading are independent Ho: Degree is associated with book reading vs. Ha: Degree is not associated with book reading (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) PhD Masters Undergraduate Reads books 14.83 Does not read books 67.42 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.)TS = (d) The test statistic follows a t-distribution with df = 6 chi-square distribution with df = 217 t-distribution with df = 2 chi-square distribution with df = 6 chi-square distribution with df = 2 (e) Using the statistical table, the p-value is 0.005 < p-value < 0.01 p-value > 0.10 0 < p-value < 0.005 0.01 < p-value < 0.025 0.05 < p-value < 0.10 0.025 < p-value < 0.05 (f) Based on the p-value, those conducting the test should _____ the null hypothesis at the significance level of 0.025. fail to reject reject (g) What is the appropriate conclusion? There is insufficient evidence to conclude degree and book reading are independent. There is sufficient evidence to conclude degree and book reading are independent. There is sufficient evidence to conclude degree and book reading are dependent. There is sufficient evidence to conclude the proportion of book-reading students is not the same for each degree. There is insufficient evidence to conclude degree and book reading are dependent.

Olivia attends school at the University of Alberta and decides to compile a contingency table of students who are taking various degrees. She surveys a group of students, and the data she collects is listed in the contingency table below. Olivia want to see if degree and book reading are dependent variables. PhD Masters Undergraduate Reads books 15 24 73 Does not read books 14 28 65 (a) In performing this statistical test, state the hypotheses. Ho: The proportion of students who do not read books is the same as the proportion of book-reading students vs. Ha: The proportion of students who do not read books is not the same as the proportion of book-reading students Ho: Degree is related to book reading vs. Ha: Degree is not related to book reading Ho: Degree and book reading are independent vs. Ha: Degree and book reading are dependent Ho: Degree and book reading are dependent vs. Ha: Degree and book reading are independent Ho: Degree is associated with book reading vs. Ha: Degree is not associated with book reading (b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.) PhD Masters Undergraduate Reads books 14.83 Does not read books 67.42 (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.)TS = (d) The test statistic follows a t-distribution with df = 6 chi-square distribution with df = 217 t-distribution with df = 2 chi-square distribution with df = 6 chi-square distribution with df = 2 (e) Using the statistical table, the p-value is 0.005 < p-value < 0.01 p-value > 0.10 0 < p-value < 0.005 0.01 < p-value < 0.025 0.05 < p-value < 0.10 0.025 < p-value < 0.05 (f) Based on the p-value, those conducting the test should _____ the null hypothesis at the significance level of 0.025. fail to reject reject (g) What is the appropriate conclusion? There is insufficient evidence to conclude degree and book reading are independent. There is sufficient evidence to conclude degree and book reading are independent. There is sufficient evidence to conclude degree and book reading are dependent. There is sufficient evidence to conclude the proportion of book-reading students is not the same for each degree. There is insufficient evidence to conclude degree and book reading are dependent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Related questions

Question

	PhD	Masters	Undergraduate
Reads books	15	24	73
Does not read books	14	28	65

(a) In performing this statistical test, state the hypotheses.

Ho: The proportion of students who do not read books is the same as the proportion of book-reading students vs. Ha: The proportion of students who do not read books is not the same as the proportion of book-reading students

Ho: Degree is related to book reading vs. Ha: Degree is not related to book reading

Ho: Degree and book reading are independent vs. Ha: Degree and book reading are dependent

Ho: Degree and book reading are dependent vs. Ha: Degree and book reading are independent

Ho: Degree is associated with book reading vs. Ha: Degree is not associated with book reading

(b) What is the expected frequencies of each cell? Fill out the table. (Round your answers to 2 decimal places, if needed.)

	PhD	Masters	Undergraduate
Reads books	14.83
Does not read books			67.42

(d) The test statistic follows a

t-distribution with df = 6
chi-square distribution with df = 217
t-distribution with df = 2
chi-square distribution with df = 6
chi-square distribution with df = 2

(e) Using the statistical table, the p-value is

0.005 < p-value < 0.01
p-value > 0.10
0 < p-value < 0.005
0.01 < p-value < 0.025
0.05 < p-value < 0.10
0.025 < p-value < 0.05

(f) Based on the p-value, those conducting the test should _____ the null hypothesis at the significance level of 0.025.

fail to reject

reject

(g) What is the appropriate conclusion?

There is insufficient evidence to conclude degree and book reading are independent.

There is sufficient evidence to conclude degree and book reading are independent.

There is sufficient evidence to conclude degree and book reading are dependent.

There is sufficient evidence to conclude the proportion of book-reading students is not the same for each degree.

There is insufficient evidence to conclude degree and book reading are dependent.

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