The proportion of residents in a community who recycle has traditionally been 65%. A policy maker claims that the proportion is less than 65 % now that one of the recycling centers has been relocated, and the policy maker wishses to carry out a hypothesis test. State the null hypothesis H and the alternative hypothesis H, that the policy maker would use for this test.
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- In a sample of 183 male job-holders, 55% said that they are satisfied with their jobs. In another sample of 171 female job-holders, 65% said that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and all male job-holders who are satisfied with their jobs are equal. The alternative hypothesis is that the proportion of all female job-holders who are satisfied with their jobs is greater than the proportion of all male job-holders who are satisfied with their jobs. The significance level is 2%. What is the approximate p-value for this test? e. 0.9732 b. 0.9975 d. 1.0000 a. 0.9139 c. 0.9724The board of directors for Procter and Gamble is concerned that only 19% of the people who use toothpaste buy Crest toothpaste. A marketing director suggests that the company invest in a new marketing campaign which will include advertisements and new labeling for the toothpaste. The research department conducts product trials in test markets for one month to determine if the market share increases with new labels. Write the company's alternative hypotheses. (Note that you'll need the null for the rest of the problem.) На: In this context describe a Type I error and the impact such an error would have on the company. O Thinking the new labels didn't raise sales, when they actually did O Correctly thinking the labels did not raise sales O Correctly thinking the labels raised sales O Thinking the new labels raised sales, when they really didn't In this context describe a Type Il error and the impact such an error would have on the company. O Correctly thinking the labels did not raise…The National Association of Realtors reported that 26% of home buyers in the state of Florida are foreigners in 2012. The correct hypothesis statement to test the validity of this report would be a. O b. O c. d. H0: p = 0.26; H1: p + 0.26. H0: p = 0.26; H1: p > 0.26. H0: p = 0.26; H1: p < 0.26. H0: p = 0.26; Hl: p = 0.26.
- A college professor states that this year's entering students appear to be smarter than entering students from previous years. The college's records indicate that the mean IQ for entering students from earlier years is 110.4. Suppose that we want to sample a small number of this year's entering students and carry out a hypothesis test to see if the professor's statement can be supported. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0= H1=A local teacher wants to see if teaching writing in different ways impacts student learning. She has two classes of similar characteristics. In one class, she will use Teaching Strategy A and in the other class she will use Teaching Strategy B. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the teacher make about the hypothesis?Suppose that you are considering whether to publish a weekly alternative newspaper on campus. You decide to survey a random sample of students on your campus to ask if they would be likely to read such a newspaper. Your plan is to proceed with publication only if the sample data provide strong evidence that more than 10% of all students on your campus would be likely to read such a newspaper. The parameter of interest is the proportion of all students who would likely read an alternative campus newspaper. The null hypothesis = 0.10 and the alternative hypothesis is greater (>) than 0.10. -What is power in the context of this problem?
- An auto shop wants to examine the proportion of customers that have to return after an appointment. Last year, an examination of 381 customers found that 33.0% had to return after an appointment. You instituted some changes at the auto shop this year, and found from a sample of 258 customers that 36.2% had to return after an appointment. You want to conduct a hypothesis test to determine if there has been an increase in the proportion of customers that need to return after an appointment since the past year, with a = 0. 10. Using this information, what is the p in your analysis? Round your final answer to two decimal places. Note: 1- Enter your final answer with 2 decimal places.A poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent’s survey, would you agree with the Newsweek poll? Perform a hypothesis test, using the five-step process, to test whether the proportion of Americans who have seen or sensed the presence of an angel is less than 13%.A golf instructor claims that more than 70% of his students have improved their driving distance by at least 20 yards after viewing and applying the techniques described in his instructional video. If 138 out of 180 viewers say that their driving distance has improved by at least 20 yards, is the instructor's claim valid? Identify the null and alternative hypotheses for this scenario. Is the instructor's claim that "more than 70% of his students have improved their driving distance by at least 20 yards," valid? Your response should include your decision and conclusion in context of the scenario.
- When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.A recent Food and Drug Administration (FDA) report states that 65% of all domestically produced food products are pesticide free. Suppose an FDA spokesperson believes that less than 65% of all foreign produced food products are pesticide free. Specify the null and alternative hypotheses that would be used to test the spokesperson’s beliefSuppose you have a hypothesis test which never rejects the null hypothesis, no matter the value of the test statistic. Name a potential problem with such a test. Select one: a. There can be no problem with such a hypothesis test, this is the ideal scenario. b. Using this test would lead to making an excessive number of Type I errors. c. Using this test would lead to making an excessive number of Type II errors.