A newsletter publisher believes that less than 36%36% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.010.01 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
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A newsletter publisher believes that less than 36%36% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.010.01 level of significance, the advertiser failed to reject the null hypothesis.
What is the conclusion regarding the publisher's claim?
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- The mayor of a town believes that 32% of the residents favor annexation of a new bridge. A community group believes this is inaccurate and decides to perform a hypothesis test to dispute the mayor's claim. After information is gathered from 160 voters and a hypothesis test is completed, the group fails to reject the null hypothesis at the 0.01 level. What is the conclusion regarding the mayor's claim?According to the GSS 2018 dataset, 51% of 218 college graduates reported being interested in environmental issues compared with 43% of 167 high school graduates. What is the research hypothesis? Should you conduct a one- or two-tailed test? Why?The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
- One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 55%. A random sample of 160 adult residents of this city were questioned, and it was found that 71 of them had been victimized by a criminal. Based on these data, can we reject the sociologist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H. :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) OA national organization that conducts research on the cost and quality of health care in the U.S. reported that, in 2012, U.S. families spent an average of $9,590 on health care expenses. Suppose you decide to test whetherthe average in 2015 is greater than the average in 2012. After conducting the appropriate statistical test, you find a P-value of 0.022. If the level of significance is 0.05, which of the following is the best interpretation of the P-value? a. The P-value of 0.022 indicates that there is a 2.2% chance that the 2015 average is greater than the average amount spent in 2012.b. The P-value of 0.022 provides weak evidence that the average in 2015 average is greater than the average amount spent in 2012.c. The P-value of 0.022 provides strong evidence that the 2015 average is greater than the average amount spent in 2012.d. The P-value of 0.022 indicates that there is a very low probability that the 2015 average is different than average amount spent in 2012.A newsletter publisher believes that 48 % of their readers own a laptop. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.10 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher’s claim?USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1007 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal Chevrolet is more than 47%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.47; H,: p 0.47 O Ho: p > 0.47; H,: p = 0.47 O Ho: p = 0.47; H1: p + 0.47 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.A publisher reports that79%of their readers own a personal computer. A marketing executivewants to test the claim that the percentage is actually more than the reported percentage. A randomsample of 100 found that89%of the readers owned a personal computer. Is there sufficient evidence atthe 0.02 level to support the executive’s claim?In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 230 pet owners and discovered that 66 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α=0.1 level of significance. Find test statistic and p valueA health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 50%. A random sample of 180 adult residents of this city were questioned, and it was found that 76 of them had been victimized by a criminal. Based on these data, can we reject the sociologist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. p H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ORecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. 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