The mayor of a town believes that over 70% of the residents favor annexation of an adjoining community. Is there sufficient evidence at the 0.05 level to support themayor's claim? After information is gathered from 130 voters and a hypothesis test is completed, the mayor decides to reject the null hypothesis at the 0.05 level.What is the conclusion regarding the mayor's claim?

In hypothesis testing, we start with a null hypothesis and an alternative hypothesis. In this…

Answered: The mayor of a town believes that over…

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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Use the calculator to conduct a hypothesis test for the percentage of women who are in the directory. (Stage 1).Should you reject the claim? What is the level of significance? (Hint: 1-PropZTest)
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In 2004, 68% of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC), CA, was randomly selected for comparison. In 2004, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents CA.†Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
You are conducting a study to see if the proportion of voters who prefer the Dermocratic candidate is significantly different from 59% at a level of significance of a = 0.05. According to your sample, 35 out of 69 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v|Select an answerv (please enter a decimal) H: ?vSelect an answerV (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 ?va f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 59% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 59%. O The data suggest the populaton proportion…
The magazine Tech Worx reported that 88% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you claim the percentage given in the report is not correct. In a survey of 210 randomly chosen software engineers, 186 rated the company they work for as "a great place to work." Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support your claim that the proportion, p, of all software engineers who rate the company they work for as "a great place to work" is not 88%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: I (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10 and n(1-p) > l0 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are…
Only 20% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 317 randomly selected registered voters surveyed, 54 of them will vote in the upcoming election. What can be concluded at the a = 0.05 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 answer v (please enter a decimal) H: ? 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 ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 20% at a = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be…
Based on past experience, a hiring manager believes that less than one-third of applicants are actually qualified for an entry-level position. Suppose that in a random sample of 144 aplicants for this position, 63 are found to be qualified. Do the sample data support the manager's belief? Test the relvant hypothesis using a=0.05
Do the needs of patients in the emergency room differ for those who come by car vs. those by ambulance? Of the randomly selected emergency room patients who came by car 51 had an injury, 40 were sick, 31 had heart problems and 61 had other needs. Of the randomly selected emergency room patients who came by ambulance 45 had an injury, 30 were sick, 55 had heart problems and 38 had other needs. Conduct the appropriate hypothesis test using an a = 0.10 level of significance. a. What is the correct statistical test to use? O Paired t-test O Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O Means of transportation to the emergency room and emergency room needs are independent. Means of transportation to the emergency room and emergency room needs are dependent. The distribution of emergency room needs for patients who come by car is the same as it is for patients who come by ambulance. The distribution of emergency room needs for patients who…
A newsletter publisher believes that more than 79% of their readers own a personal computer. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.
A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.
3. Identify the null hypothesis, alternative hypothesis, test statistic, p-value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. The Genetics and IVF Institute conducted a clinical trial of the XSORT method designed to increase the probability of conceiving a girl. As this book was being written, 325 babies were born to parents using the XSORT method, and 295 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this method, the probability of a baby being a girl is greater than 0.5. Does the method appear to work?
A newsletter publisher believes that over 62%62% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.020.02 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

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