A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 292 were in favor of the increased speed limit. Do these data indicate that there is a difference in the support for increasing the speed limit between the residents of the two counties? Use α = 0.05.(a) Test the hypothesis \( H_0: p_1 = p_2 \) versus \( H_1: p_1 \neq p_2 \). What is \( z_0 \)? Round your answer to two decimal places (e.g. 98.76).\[ z_0 = \text{[Input Box]} \](b) Is it reasonable to conclude that there is a difference in the support for increasing the speed limit between the residents of the two counties?\[ \text{[Dropdown Box]} \]

There are two independent samples which are Maricopa and Pima.We have to test whether there is a…

Answered: A random sample of 500 adult residents…

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 medical journal published new medical research about diastolic blood pressure. Let the mean diastolic blood pressure reading be u mmHg. If a doctor wants to know if the new medical research discussed in the journal results in diastolic blood pressure readings that are, on average, less than 75 mmHg, what are the null and alternative hypotheses? Select the correct answer below: Ho: µ = 75; Ha:H 75 %3D O Ho: µ = 75; Ha: µ + 75
The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Ho: ? ✓ Select an answer H₁: ? ✓ Select an answer (please enter a decimal) (Please enter a decimal) The test statistic ? ✓ = The p-value = The p-value is? ♥ α Based on this, we should [Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly different from 11% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become…
The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.35 days. Is this average different for blind dates? A researcher interviewed 70 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over. Their standard devlation was 0.655 days. What can be concluded at the 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: ?v Select an answerv H: ?vSelect an answerv 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 answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 2.35 at a = 0.10, so there is statistically…
A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of doctors was taken. Suppose the test statistic is z = -1.95. Can we conclude that H0 should be rejected at the and level? Group of answer choices a) yes; b) yes; c) no a) no; b) no; c) yes a) yes; b) yes; c) yes a) no; b) no; c) no
A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain? a)A large p-value. b)A small p-value. c)The magnitude of a p-value has no impact on statistical significance
A report states the average temperature for the month of June on a specific tropical island is 98 degrees F. A meteorologist claims the report is not correct.. Data collected from 35 areas on the island showed an average temperature of 94 degrees F. Thepopulation standarddeviation is known to be 6.0 degrees F. At alpha = 0.05, can the report's average be rejected? For multiple choice question #1, tell what type of test: right-tailed, left-tailed, or two-tailed.
A December 2017 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a greater proportion of students at your school use the internet that much. You take a random sample of 60 students and find that 36 of them use the internet for an hour or more each day. Assume your school has more than 600 students. You will test the hypotheses H, : p = 0.43, H,:p>0.43 , where p= the true proportion of students at your school who use the internet for an hour or more each day. Which of the following gives the correct test statistic for this test? 0.43 - 0.6 Z = (0.6)(0.4) 60 0.43-0.6 (0.6)(0.4) 600 0.6-0.43 (0.6)(0.4) 60 0.6 - 0.43 (0.43)(0.57) 60 36 - 60 (36)(24) 60
In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions…
A demographer wants to know what proportion of women in different countries dye their hair. They take a random sample of women from Korea and another random sample of women from China. In Korea, 47% dyed their hair. In China, 56% dyed their hair. (a) What hypotheses would the demographer use to test if women in China are more likely to dye their hair than women in Korea? H0: pChina=pKorea vs. Ha: pChina ≠ pKoreaH0: pChina - pKorea = 0 vs. Ha: pChina - pKorea > 0 H0: μChina-μKorea = 0 vs. Ha: μChina-μKorea ≠ 0H0: pChina-pKorea = 0.09 vs. Ha: pChina-pKorea ≠ 0.09H0: μChina = 0.56 vs. Ha: μKorea = 0.47 (b) Suppose their test yielded a p-value of 0.079. What does this mean in the context of the test? We are 7.9% confident that the results of our test are correct.If the women of two countries have the same rates of coloring their hair, the probability of getting a difference at least this large is 0.079. If we take another sample, the probability of getting the same p̂China and…
In a survey taken in 2020, 20 out of 50 women and 17 out of 45 men said that they felt our country was headed in the wrong direction regarding universal health care. Do these data provide sufficient evidence at the 0.01 level of significance to conclude that the proportions of women and men that feel out country is headed in the wrong direction regarding healthcare are equal? Use the P-Value Method of Testing. In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic 4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject Ho
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