Members of the city council want to know if a majority of city residents supports a 1% increase in the sales tax to fund roadrepairs. To investigate, they survey a random sample of 300 city residents and use the results to test the following hypotheses:Họ: p = 0.50Hip > 0.50where pis the proportion of all city residents who support a 1% increase in the sales tax to fund road repairs.In the sample, p = 158/300 = 0.527. The resulting P-value is 0.18. What is the correct interpretation of this P-value?Assuming that 50% of residents support the tax increase, there is an 18% probability that the sample proportion wouldbe 0.527 or greater by chance alone.There is an 18% chance that the majority of residents supports the tax increase.Assuming that 50% of residents support the tax increase, there is an 18% chance that the null hypothesis is true bychance alone.Assuming that more than 50% of residents support the tax increase, there is an 18% probability that the sampleproportion would be 0.527 or greater by chance alone.Only 18% of the city residents support the tax increase.

Answered: Image /qna-images/answer/c2abc778-f8d2-4a8b-8906-0d60a57abd36.jpg

Answered: Members of the city council want to…

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 69.22% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that a larger proportion skip breakfast 3 days a week. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast. 46 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: Ho:p ≤ 0.6922 HA:P 0.6922 (claim) O Ho: p > 0.6922 HA:P < 0.6922 (claim) O Ho: p = 0.6922 HA P0.6922 (claim) Since the level of significance is 0.10 the critical value is 1.282 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
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The claim is that the proportion of peas with yellow pods is equal to 0.25 or 25% the sample statistic from one experiment includes 570 Peas with 110 of them having yellow pods find the value of the test statistic.
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In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 340 trials, the touch therapists were correct 162 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.476 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.…
Problem: An administer claims that the proportion of students who pass a particular test given to all college freshmen is 77.32%. To test the claim an SRS of size 199 test scores was collected. The sample had 74 students pass the test. Find the test statistic.
A survey is conducted to determine if there is a difference in the proportion of students, parents, and The conditions for inference are met. The chi-square test statistic is 0.19 and df = 2. What is the appropriate decision using a = 0.05? teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. Find the chi-square table here. Because the P-value is less than a = 0.05, the null hypothesis should be rejected. Student Parent Teacher Because the P-value is less than a = 0.05, the null hypothesis should not be rejected. Yes 24 12 Volunteer? No 21 13 Because the P-value is greater than a = 0.05, the null hypothesis should be rejected. The researcher would like to test these hypotheses: Because the P-value is greater than a = 0.05, the null hypothesis should not be rejected. Họ: There is no difference in the distribution of responses among these three…
Question Two.
Investigators are trying to determine if the contamination of a town well led to significant increases in adverse health effects. During the period of time when water was consumed from this contaminated well, there were 16 birth defects among 414 births. After this well was shut off, there were 3 birth defects among 228 births. You asked to determine if the rate of birth defects was higher when the contaminated well was in use. a. Test the claim that the contaminated well was not associated with a change in the rate of birth defects in the community at the alpha = 0.05 level, by using the two-proportion z test. Confirm your answers using Stata. b. Calculate a 95% confidence interval for the true difference between the proportions of birth defects when the contaminated well was in use versus when the well was shut down. c. Construct the 2x2 contingency table representing the data to Calculate the odds of a birth defect when the contaminated water was consumed and when the well was shut…
The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10.4 2 3.4 6 6.2 1.2 2.7 3.1 0.8 5 Crime Rate 12.6 8.9 7.5 8.9 7.8 9.3 8 7.4 8.6 9.3 (a) Calculate r. _______(ii) Calculate the critical region._____ (smaller value) ______(larger value)(b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that ? ≠ 0.Reject the null hypothesis, there is significant evidence that ? ≠ 0. Fail to reject the null hypothesis, there is not significant evidence that ? ≠ 0.Fail to reject the null hypothesis, there is significant evidence that ? ≠ 0.

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