A poll of 1160 Americans showed that 47.2% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.10 significance level to test the claim that fewer than half ofAmericans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it.Identify the null and alternative hypotheses.Ho p = 0.5H₁ p<0.5(Type integers or decimals. Do not round.)Identify the test statistic.z = -2.21(Round to two decimal places as needed.)Identify the P-value.P-value = 0.016(Round to three decimal places as needed.)State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.Rejectthe null hypothesis. There is sufficient evidence tohalf of Americans prefer to watch the news rather than read or listen to it.supportthe claim that fewer than

Given:sample size n = 1160sample proportion p̂ = 47.2% = 0.472significance level α = 0.10 Claim:…

Answered: A poll of 1160 Americans showed that…

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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The psychology department is gradually changing its curriculum by increasing the number of online course offerings. To evaluate the effectiveness of this change, a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of μ = 71. If the final exam scores for the population have a standard deviation of σ = 18, does the sample provide enough evidence to conclude that the new online course is significantly different from the traditional class? Again, use a two-tailed test with α = .05. (Round z score to two decimal places.)
A construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two random samples were taken. Assume the distributions are normal.Dry Wall Results by Age Age 18-21(sheets/week) Age 25-28(sheets/week) 92 104 109 116 93 96 81 104 115 108 109 108 84 116 121 112 94 120 116 108 a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age. b) Check the conditions. c) Calculate the test statistic. d) Find the p-value. e) Using α = 0.05, state your conclusion in the context of the problem.
The commute time for Cypress College students who drive from their home to the college follows a normal distribution with a mean of 26 minutes and a standard deviation of 8 minutes. Determine the two commute times that will make up the middle 80% of student commute times. O 19.3 and 32.7 minutes 18.2 and 33.6 minutes O 17.4 and 34.1 minutes 15.7 and 36.3 minutes 16.8 and 34.2 minutes
A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot does not show any outliers. Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the a=0.01 level of significance.
On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.4, 7.5, 7.9, 5.7, 5.9, 8.1, 4.8, 8.7, 6.8, 5.9, 8.2, 5.1, 5.1 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The alternative hypothesis would be: H1:H1: Correct Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ...
The time that college students spend studying per week have a distribution that skewed to the right with a mean of 8.4 hours and a standard deviation of 2.7 hours. Find the probability that the mean time spent studying per week for a random sample of 40 is less than 7.5 hours.
On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 12 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.5, 6.6, 5.1, 8.4, 7.1, 5.1, 4.8, 5.1, 8.1, 5.4, 7, 7.8 What can be concluded at the the a = 0.05 level of significance 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 ✓ H₁: ? Select an answer ✓ 4 c. The test statistic?v= (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =
A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When 54 buttered slices of toast were dropped, 31 of them landed with the buttered side up and 23 landed with the buttered side down. Use a 0.05 significance level to test the claim that toast will land with the buttered side down 50% of the time. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. After that, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than 50% of the time, write a conclusion that addresses the intent of the experiment. ..... Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down 50% of the time. Ho: p H1: P (Type integers or decimals. Do not round.) Identify…
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Full data set O Carpeted Uncarpeted 11.9 11.3 9.8 8.3 9.1 8 7.1 6,7 12.9 13.8 9.5 11.3 11.6 14.4 9.9 14.1 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Họ: Hcarpet = Pno carpet versus H1: Hcarpet Pno carpet Calculate the test statistic, to- to = (Round to two decimal places as needed.)
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