A city office has previous records indicating that 18% of cars have received parking tickets at some point. Theyare trying to implement a new program that they hope will reduce this proportion. After they complete theprogram, they find that only 16% of a random sample of 200 cars received parking tickets in the last year. Theyrun a hypothesis test, and find a p-value of .231.Interpret the meaning of this p-value in the context of the problem.O If 18% of cars get parking tickets, there is a 23.1% chance of finding a sample in which 16% of cars get parking ticketsO 23.1% of samples will produce a proportion of no more than 18% of cars with parking ticketsO If 18% of cars get parking tickets, a sample with a proportion of 16% is unusualO There is a 23.1% chance that we should not reject the null hypothesis

Given Information: 18% of cars have received parking tickets at some point. A new program was…

Answered: A city office has previous records…

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 National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses. HO: c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x = ii. n=. lii. p' = g. Calculate ox = h. State the distribution to use for the hypothesis test. i. Find the p-value. j. At a pre-conceived a = 0.05, what is your: i. Decision: ii.…
It has recently been claimed that 25% of adults consider spring to be their favorite season of the year. A researcher is skeptical of this claim and believes this percentage is too low. She surveys a random of 1,000 adults and finds that 390 of these adults consider spring to be their favorite season of the year. As she prepares to conduct a hypothesis test, the researcher writes out her alternative hypothesis as “p < 0.25.” What is wrong with this? The alternative hypothesis should be “p > 0.39.” The alternative hypothesis should be “p < 0.39.” The alternative hypothesis should be “p > 0.25.” The alternative hypothesis should be “p = 0.25.” Nothing is wrong with the given alternative hypothesis.
A sociologist wants to study what proportion of people have significant relationship problems due to financial stress. A previous study she is aware of estimated it to be 32% but she believes this has increased in modern times. She collects a random sample of 150 people and 63 of them report relationship problems due to financial stress. Conduct an appropriate hypothesis test in questions #22-#25. Compute the Z-score for this hypothesis test and round to two decimal places. z = 1.58 z = 2.06 z = 2.63 z = 0.84
Only about 17 of all people can wiggle their ears. Is this percent lower for millionaires? Of the 319 millionaires surveyed, 45 could wiggle their ears. 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: Ho: py (please enter a decimal) %3D H: p # (Please enter a decimal) c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is s a f. Based on this, we should fail to reject g. Thus, the final conclusion is that... the null hypothesis. OThe data suggest the populaton proportion is significantly lower than 17% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 17%. O The data suggest the population proportion is not significantly lower than 17% at a = 0.01, so there is…
Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 118 people and find that 98 of them match the condition you are testing.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.8H0:p=0.8Ha:p>0.8Ha:p>0.8Calculate the test statistic, rounded to 3 decimal places
Suppose the present success rate in the treatment of a particular psychiatric disorder for the relevant population is known to be .73 (73%). A research group hopes to demonstrate that the success rate of a new treatment will be better than this standard. Use the letter p to represent the success rate of the new treatment. Write null and alternative hypotheses for p. Ho: p|? v H2: p? v a
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 232 women, r1 = 66 responded yes. Another random sample of n2 = 198 men showed that r2 = 65 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. State the null and alternate hypotheses. H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The Student's t. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference p1…
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesis
Suppose you have a friend that thinks at least a quarter (25% or 0.25) of all US adults believe in ghosts. Thus, the null hypothesis would be, HO: p = 0.25 Suppose a telephone survey of 1000 randomly selected US adults found that 0.31 or 31% of them say they believe in ghosts. If the null hypothesis is true, the uncertainty or Standard Error in this sample proportion = 0.014 Based on this information, what is the value for the Z-statistic in this hypothesis test? (Round your answer to two decimal places.) Answer:
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 40% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter “0”. Do not round your intermediate calculations.
Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets sold one summer are for its films. A competing studio claims that less than half of all tickets sold are for Dreamfilms' movies. After the hypothesis test is completed, the conclusion is to fail to reject the null hypothesis. If the true percentage of tickets sold for Dreamfilms Studios' movies that summer was only 48%, was an error committed? If so, what type?

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