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(a) What is the level of significance? State the null and alternate hypotheses. O Hoi p- 0.67; H,: p > 0.67 O Ho: p = 0.67; H,:P- - 0.67 О н: р- 0.67; н: р<0.67 O Ho:p < 0.67; H,ip = 0.67 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. The Student's t, since np < 5 and ng < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (C) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. -2 -1 o-3 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(a) What is the level of significance? State the null and alternate hypotheses. O Hoi p- 0.67; H,: p > 0.67 O Ho: p = 0.67; H,:P- - 0.67 О н: р- 0.67; н: р<0.67 O Ho:p < 0.67; H,ip = 0.67 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. The Student's t, since np < 5 and ng < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (C) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. -2 -1 o-3 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 39 women athletes at the school showed that 20 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O H: p- 0.67; H,:p > 0.67 O Ho: p = 0.67; H,: p+ 0.67 O Ho: p = 0.67; H,: p < 0.67 O Ho:p < 0.67; H,:p = 0.67 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (C) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 -2 -1 1 0-3 -2 -1 1 2 3 o-3 -2 -1 -2 -1 2 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
Transcribed Image Text:Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 39 women athletes at the school showed that 20 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O H: p- 0.67; H,:p > 0.67 O Ho: p = 0.67; H,: p+ 0.67 O Ho: p = 0.67; H,: p < 0.67 O Ho:p < 0.67; H,:p = 0.67 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (C) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 -2 -1 1 0-3 -2 -1 1 2 3 o-3 -2 -1 -2 -1 2 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
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