It has been reported that 60% of U.S. school lunches served are free or at a reduced price. A researcherbelieves that proportion is less than 60% in her town. A random sample of 300 children in a largemetropolitan area indicated that 156 of them received lunch free or at a reduced price. Use a 0.05 level ofsignificance.Given a p-value equal to 0.002, what is the correct conclusion?O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is equal to thereported percentage of 60% in a large metropolitan area.O We cannot conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less thanthe reported percentage of 60% in a large metropolitan area.O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than thereported percentage of 60% in a large metropolitan area.O None of the given answers

State the Hypotheses• Null Hypothesis (H0): The proportion of students receiving free or…

Answered: It has been reported that 60% of U.S.…

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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A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast.. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: О Но:р 0.705 (claim) Но: р > 0.705 HA:p < 0.705 (claim) О Но: р — 0.705 HA:P + 0.705 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. O There is not enough evidence to reject the claim that the proportion that skip…
Suppose a study reported that the average persin watched 3.37 hours of television per day. a random sample of 15 people gave the number of hours of television watched per day shown below. at the 1% significance level, do the data provide sufficent evidence to conclude that the amount of television watched per day last year by the average person is greater than the value reported in the study? what is the test statistic value for this problem? a.0.28 b.-38 c.none of the above d. 0.58 e.-4.295 f..04 g. 1.94 . the proper conclusion for this problem is? a. reject the null hypothesis we have sufficent evidence to prove the average number of hours people watch tv is more than 3.37 hours. b. Do not reject the null hypothesis we have sufficient evidence to prove the average number of hours of TV watched is greater than 3.37 hours c. Reject the null hypothesis and claim the average number of hours people watch TV is less than 3.37 because the P value is near zero d. Do not reject the null…
During the 1990s, the fatality rate for lung cancer was 80 per 100,000 people. After the turn of the century and the establishment of newer treatments and adjustment in public health advertising, a random sample of 10,000 people exhibits only six deaths due to lung cancer. Test at the 0.05 significance level whether that data are proof of a reduced fatality rate for lung cancer. b. Make the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) c. Evaluate the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 318 people over the age of 55, 77 dream in black and white, and among 298 people under the age of 25, 16 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. H4: P1 P2 H: P1 #P2 O D. Ho: P1 SP2 H1: P1#P2 O E. Ho: P1 P2 H1: P1 = P2 O F. Ho: P1 =P2 H1: P1 #P2 Identify the test statistic. z= 6.52 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion…
Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 380 of the 581 randomly selected wildfires looked at in the south were caused by humans while 318 of the 503 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer v (please enter a decimal) Hj: Select an answer Select an answer vSelect an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... |the null hypothesis. O The results are statistically significant at a = 0.10, so there is sufficient evidence to…
Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 348 of the 574 randomly selected wildfires looked at in the south were caused by humans while 272 of the 518 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) = c. The test statistic ? ◊ your answer to 3 decimal places.) (please show
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 294 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ = P2 H₁: P₁ P2 D. Ho: P₁ P2 H₁: P₁ P2 OB. Ho: P1 P2 H₁: P₁ P2 O E. Ho: P1 H₁: P₁ P2 P2 O C. Ho: P₁ P2 H₁: P₁ = P2 OF. Ho: P₁ P2 H₁: P₁ P2
Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hn: Select an answer v Select an answer v Select an answer v (please enter a decimal) Hj: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ? v= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient…
A Pew Research Center survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pace of life. The survey also asked the respondent's gender. Consider the following sample data. Do not round your intermediate calculations. Gender Preferred Pace of Life Male Female Slower 229 221 No Preference 18 26 Faster 93 43 a. Is the preferred pace of life independent of gender? Using a .05 level of significance, what is the p-value? Compute the value of the x test statistic (to 3 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? - Select your answer - v that the preferred pace of life is not independent of gender. b. What are the percentage responses for each gender (to 1 decimal)?
A company claims that less than 30% of people who both work and live in Newcastle. A study revealed that among a random sample of 200 people working in Newcastle, 62 also lived in Newcastle. Does the sample support the company’s claim? Use a level of significance of 0.01.
A publisher reports that 69 % of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually under the reported percentage. A random sample of 200 found that 60% of the readers owned a particular make of car. Is there sufficient evidence at the 0.10 level to support the executive's claim? Step 5 of 7: Identify the value of the level of significance.
A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?

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