A professor using an open source introductory statistics book predicas that 10% of the students will purchase a hard copy of the book, 55% will print it out fram the web, and 35% will read it online. AL the end of the semester he asks his student LO complete a survey where they indicate what format of the book they used. Of the 200 studeres, 25 said they bought a hard capy of the book, 85 said they printed it out fram the web, and 90 said they read it online. (a) Slate the hypotheses for testing if the professor's predictions were inaccurate. O Ho: Pauy"1. Prne"-55, Ponline35 Ha: at least one olf the claimed probabilities is different OHo: Pauy -.1, Pr55, Poin35 Ha: all of the claimed probabilities are different OHo: Pauy ".1, Pru55, Poine35 Ha: at least one of the claimed probabilities is zero (b) How many students did the professor expect to buy the book, print the book, and read the book exclusively online? f necessary, round to the nearest whoale number) Observed Expected Buy Hard Copy 25 Print Out 85 Read Online 90 () Calculate the chi-squared statistic, the degrees of freedom associated with it, and the p-value. The value of the test-statistic is: (please round to two decimal places) The degrees of freedom associated with this test are: The p value associated with this test is: O between 01 and.05 O less than 01 O between 05 and.1 Ogreater than.1
A professor using an open source introductory statistics book predicas that 10% of the students will purchase a hard copy of the book, 55% will print it out fram the web, and 35% will read it online. AL the end of the semester he asks his student LO complete a survey where they indicate what format of the book they used. Of the 200 studeres, 25 said they bought a hard capy of the book, 85 said they printed it out fram the web, and 90 said they read it online. (a) Slate the hypotheses for testing if the professor's predictions were inaccurate. O Ho: Pauy"1. Prne"-55, Ponline35 Ha: at least one olf the claimed probabilities is different OHo: Pauy -.1, Pr55, Poin35 Ha: all of the claimed probabilities are different OHo: Pauy ".1, Pru55, Poine35 Ha: at least one of the claimed probabilities is zero (b) How many students did the professor expect to buy the book, print the book, and read the book exclusively online? f necessary, round to the nearest whoale number) Observed Expected Buy Hard Copy 25 Print Out 85 Read Online 90 () Calculate the chi-squared statistic, the degrees of freedom associated with it, and the p-value. The value of the test-statistic is: (please round to two decimal places) The degrees of freedom associated with this test are: The p value associated with this test is: O between 01 and.05 O less than 01 O between 05 and.1 Ogreater than.1
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Transcribed Image Text:A professor using an open source introductory statistics book predicas that 10% of the students will purchase a hard copy of the book, 55% will prinL it out fram Lhe web, and 35% will read it cnline. AL the end of the semester he asks his students
LO complete a survey where they indicate what format of the book they used. Of the 200 studeris, 25 said they bought a hard capy of the book, B5 said they printed it out fram the welb, and 90 said they read it online.
(a) Slate the hypocheses for testing if the professor's predictions were inaccurate.
O Ho: Pauy-1, Print-55, Ponline 35
Ha: at least one of the claimed probabilities is different
O Ho: Pauy-1, Print55, Ponline35
Ha: all of the claimed probabilities are different
OHo: Pauy -1, Print55, Porline 35
Ha: at least one of the claimed probabilities is zero
(b) How marny students did the professor expect to buy the book, print the book, and read the bcok exdlusively online? f necessary, round to the nearest whole number)
Observed
Expected
Buy Hard Copy
25
Print Out
85
Read Online
90
(C) Calculate the chi-squared statistic, the degrees of freedom associated with it, and the p-value.
The value of the test-statistic is:
(please round to two decimal places)
The degrees of freedom associated with this test are:
The p-value associated with this test is:
O between 01 and.05
Oless than .01
O belween .05 and.1
Ogreater than.1
(e) Based on the pwalue calculated in part (d), what is the condusion of the hypothesis test?
O since p 2a we accept the null hypothesis
O since pza we rejeca the null hypothesis and accept the alternative
O ince pa we reject the null hypothesis and accept the alternative
O ince pa we fail to reject the null hypothesis
O Since p 2a we do not have enough evidence to reject the null hypothesis
Interpret your condusion in this context.
OThe data do not provide sufflicient evidence to claim that the actual distribution differs from what the professor expected
O The data provide sufficient evidence to claim that the aclual distribution differs from what the professor expected
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