Part (g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. Part (h) 1/2(p-value) p-value 1/2(p-value) 1/2(p-value) Xc - Xu Xc - Xu 1/2(p-value) Xc - Xu p-value Xc - Xu Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: Oreject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: ○ Since the p-value>a, we reject the null hypothesis. O Since the p-value>a, we do not reject the null hypothesis. O Since the p-value Hu ○ Ha Hc + Hu Part (c) In words, state what your random variable X-X₁ represents. OX-X represents the average cost of textbooks. OX-X represents the difference in the cost of textbooks at four-year universities and community colleges. OX-X, represents the average difference in the cost of textbooks at four-year universities and community colleges. OX-X represents the difference in the average cost of textbooks at four-year universities and community colleges. Part (d) State the distribution to use for the test. (Round your answers to two decimal places.) X- Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) ---Select--- Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. ○ If Ho is true, then there is a chance equal to the p-value that the sample average amount spent on texts and supplies each year at the four-year university is at least $68 less than or $68 more than the sample average amount spent at the community college. ○ If Ho is false, then there is a chance equal to the p-value that the difference between the sample average amount spent on texts and supplies each year at the four-year university and the community college is -$68 to $68. ○ If Ho is false, then there is a chance equal to the p-value that the sample average amount spent on texts and supplies each year at the four-year university is at least $68 less than or $68 more than the sample average amount spent at the community college. If Ho is true, then there is a chance equal to the p-value that the difference between the sample average amount spent on texts and supplies each year at the four-year university and the community college is -$68 to $68.

Part (g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. Part (h) 1/2(p-value) p-value 1/2(p-value) 1/2(p-value) Xc - Xu Xc - Xu 1/2(p-value) Xc - Xu p-value Xc - Xu Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: Oreject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: ○ Since the p-value>a, we reject the null hypothesis. O Since the p-value>a, we do not reject the null hypothesis. O Since the p-value Hu ○ Ha Hc + Hu Part (c) In words, state what your random variable X-X₁ represents. OX-X represents the average cost of textbooks. OX-X represents the difference in the cost of textbooks at four-year universities and community colleges. OX-X, represents the average difference in the cost of textbooks at four-year universities and community colleges. OX-X represents the difference in the average cost of textbooks at four-year universities and community colleges. Part (d) State the distribution to use for the test. (Round your answers to two decimal places.) X- Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) ---Select--- Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. ○ If Ho is true, then there is a chance equal to the p-value that the sample average amount spent on texts and supplies each year at the four-year university is at least $68 less than or $68 more than the sample average amount spent at the community college. ○ If Ho is false, then there is a chance equal to the p-value that the difference between the sample average amount spent on texts and supplies each year at the four-year university and the community college is -$68 to $68. ○ If Ho is false, then there is a chance equal to the p-value that the sample average amount spent on texts and supplies each year at the four-year university is at least $68 less than or $68 more than the sample average amount spent at the community college. If Ho is true, then there is a chance equal to the p-value that the difference between the sample average amount spent on texts and supplies each year at the four-year university and the community college is -$68 to $68.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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