A college claims that the proportion, $ p $, of students who commute more than fifteen miles to school is less than 15%. A researcher wants to test this. A random sample of 265 students at this college is selected, and it is found that 25 commute more than fifteen miles to school. Is there enough evidence to support the college’s claim at the 0.10 level of significance?Perform a **one-tailed test**. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)**(a)** State the null hypothesis $ H_0 $ and the alternative hypothesis $ H_1 $.- $ H_0: $- $ H_1: $**(b)** Determine the type of test statistic to use.- (Choose one) [dropdown menu]**(c)** Find the value of the test statistic. (Round to three or more decimal places.)- [Input field]**(d)** Find the p-value. (Round to three or more decimal places.)- [Input field]**(e)** Is there enough evidence to support the claim that the proportion of students who commute more than fifteen miles to school is less than 15%?- [Options: Yes, No]**Equation Tool:** A tool is provided with symbols and mathematical notations to assist in formulating hypotheses and calculating statistics.Buttons at the bottom for further interaction:- Explanation- Check- © 2022 McGraw Hill LLC. All Rights Reserved.- Options for Terms of Use, Privacy Center, and Accessibility at the bottom.

(a) State the null hypothesis H. and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) I XI 0-0 OC

(a) State the null hypothesis H. and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) I XI 0-0 OC

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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State whether the standardized test statistict indicates that you should reject the null hypothesis. Explain. (a) t=2.242 (b) t= 0 (c) t=2.195 (d) t= -2.254 0. (a) For t 2.242, should you reject or fail to reject the null hypothesis? O A. Reject Ho, because t> 2.219. O B. Reject Ho, because t 2.219. O D. Fail to reject Ho, because t<2.219.
f - 2 Fill in the blank. A Type I error is the mistake of OA. failing to reject the null hypothesis OB. rejecting the null hypothesis OC. rejecting the alternative hypothesis OD. failing to reject the alternative hypothesis 2 F2 W S X #3 80 F3 E D C $ 4 a F4 when it is actually true. R F % 5 V 9 F5 T G MacBook Air ^ 6 si F6 Y B & 7 H F7 U N 8 00 J DII FB 1 ( 9 F9 K M ) O V O F10
a) Are the body mass leanness and heat-loss ratecorrelated? Explain your reasoning. b) Calculate the standard error of the correlation coefficient; what does this value represent?Using the standard error how do you report (write) your results in a scientific paper?
(b) x = 25.1 Find the value of the test statistic. Find the p-value. p-value - State your concluslon. O Reject Ho. There is sufficient evidence to conclude that u z 22. Reject Hg. There is insufficient evidence to conclude that u = 22. O Do not reject Ho. There is insufficient evidence to conclude that u + 22. O Do not reject Ho: There is sufficient evidence to conclude that u + 22. (c) x = 21 Find the value of the test statistlc. Find the p-value. p-value = State your conclusion. O Reject Ho. There Is sufficlent evidence to conclude that u + 22. O Reject Hg. There is insufficient evidence to conclude that u + 22. O Do not reject Ho- There is insufficient evidence to conclude that pu + 22. O Do not reject Hp. There is sufficient evidence to conclude that u + 22.
Completely abstract example: If the p-value is 0.0062 what is the conclusion (use a = 0.05)? Because the p-value is above the alpha level, we fail to reject the null hypothesis. Because the p-value is above the alpha level, we reject the null hypothesis. Because the p-value is below the alpha level, we fail to reject the null hypothesis. Because the p-value is below the alpha level, we reject the null hypothesis.
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True or False?
H1: This is a homework question. I chose a Null Hypothesis that is equal to the Alternative because the professor is comparing the two formats. Is my reasoning correct? Would this be a directional question? A statistics professor is interested in finding out whether students perform better on exams if they are conducted in the classroom or online. He compares the final exam scores of his online statistics class with the exam scores of his in-person class. What is the null hypothesis for this scenario? Null Hypothesis: final exam scores in class = final exam scores online Alternative Hypothesis: final exam scores in class is NOT Equal to final exam scores online
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:p = 0.2 versus H,:p>0.2 n= 200; x= 45, a = 0.01 Is npo (1-Po) 2 10? O No O Yes Use technology to find the P-value. P-value = (Round to three decimal places as needed.) the null hypothesis, because the P-value is than a.
Question #2
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p=0.2 versus H1: p>0.2 n=250; x=55, α=0.1