Some colleges now allow students to pay their tuition using a credit card. A report includes data from a survey of 100 public 4-year colleges, 100 private 4-year colleges, and 100 community colleges. The accompanying table gives information on credit card acceptance for each of these samples of colleges. Public 4-Year Colleges Private 4-Year Colleges Accepts Credit Cards for Tuition Payment 94 69 99 Does Not Accept Credit Cards for Tuition Payment 6 31 Community Colleges For purposes this exercise, suppose that these three samples are representative of the populations of public 4-year colleges, private 4-year colleges, and community colleges in the United States. Is there convincing evidence that the proportions in each of the two credit card categories are not the same for all three types of colleges? Test the relevant hypotheses using a 0.05 significance level. (Hint: See Example 12.5.) State the appropriate null and alternative hypotheses. 1 Ho: The proportions falling into each of the two credit card categories are the same for all three types of colleges. H.: The proportions falling into each of the two credit card categories are not the same for all three types of colleges. O Ho: The proportions falling into each of the two credit card categories are not the same for all three types of colleges. H.: The proportions falling into each of the two credit card categories are the same for all three types of colleges. OH: The proportions falling into each of the two credit card categories are not different for all three types of colleges. H.: The proportions falling into each of the two credit card categories are different for all three types of colleges. OH: The proportions falling into each of the two credit card categories are different for all three types of colleges. H: The proportions falling into each of the two credit card categories are not different for all three types of colleges. Calculate the test statistic. (Round your answer to two decimal places.) Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Some colleges now allow students to pay their tuition using a credit card. A report includes data from a survey of 100 public 4-year colleges, 100 private 4-year colleges, and 100 community colleges. The accompanying table gives information on credit card acceptance for each
of these samples of colleges.
Public 4-Year
Colleges
Private 4-Year
Colleges
Accepts Credit
Cards for Tuition
Payment
94
69
Does Not Accept
Credit Cards for
Tuition Payment
99
6
Community Colleges
For purposes of this exercise, suppose that these three samples are representative of the populations of public 4-year colleges, private 4-year colleges, and community colleges in the United States. Is there convincing evidence that the proportions in each of the two credit card
categories are not the same for all three types of colleges? Test the relevant hypotheses using a 0.05 significance level. (Hint: See Example 12.5.)
State the appropriate null and alternative hypotheses.
31
Stato the conclusion in the problem contort
1
Ho: The proportions falling into each of the two credit card categories are the same for all three types of colleges.
H₂: The proportions falling into each of the two credit card categories are not the same for all three types of colleges.
O Ho: The proportions falling into each of the two credit card categories are not the same for all three types of colleges.
H₂: The proportions falling into each of the two credit card categories are the same for all three of colleges.
O Ho: The proportions falling into each of the two credit card categories are not different for all three types of colleges.
H₂: The proportions falling into each of the two credit card categories are different for all three types of colleges.
O Ho: The proportions falling into each of the two credit card categories are different for all three types of colleges.
H₂: The proportions falling into each of the two credit card categories are not different for all three types of colleges.
Calculate the test statistic. (Round your answer to two decimal places.)
x² = 1
Use technology to calculate the P-value. (Round your answer to four decimal places.)
P-value =
Transcribed Image Text:Some colleges now allow students to pay their tuition using a credit card. A report includes data from a survey of 100 public 4-year colleges, 100 private 4-year colleges, and 100 community colleges. The accompanying table gives information on credit card acceptance for each of these samples of colleges. Public 4-Year Colleges Private 4-Year Colleges Accepts Credit Cards for Tuition Payment 94 69 Does Not Accept Credit Cards for Tuition Payment 99 6 Community Colleges For purposes of this exercise, suppose that these three samples are representative of the populations of public 4-year colleges, private 4-year colleges, and community colleges in the United States. Is there convincing evidence that the proportions in each of the two credit card categories are not the same for all three types of colleges? Test the relevant hypotheses using a 0.05 significance level. (Hint: See Example 12.5.) State the appropriate null and alternative hypotheses. 31 Stato the conclusion in the problem contort 1 Ho: The proportions falling into each of the two credit card categories are the same for all three types of colleges. H₂: The proportions falling into each of the two credit card categories are not the same for all three types of colleges. O Ho: The proportions falling into each of the two credit card categories are not the same for all three types of colleges. H₂: The proportions falling into each of the two credit card categories are the same for all three of colleges. O Ho: The proportions falling into each of the two credit card categories are not different for all three types of colleges. H₂: The proportions falling into each of the two credit card categories are different for all three types of colleges. O Ho: The proportions falling into each of the two credit card categories are different for all three types of colleges. H₂: The proportions falling into each of the two credit card categories are not different for all three types of colleges. Calculate the test statistic. (Round your answer to two decimal places.) x² = 1 Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value =
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