MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- In a random sample of males, it was found that 23 write with their left hands and 225 do not. In a random sample of females, it was found that 59 write with their left hands and 470 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females.arrow_forwardA 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?arrow_forwardA 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.arrow_forward
- A random sample of n1 = 299 voters registered in the state of California showed that 140 voted in the last general election. A random sample of n2 = 220registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.)arrow_forwardA football coach claims that the average weight of all opposing teams’ members is 225 pounds. For a test of the claim, a simple random sample of 50 players is taken from all the opposing teams. The mean is found to be 230 pounds with a standard of 15 pounds. Construct a 95% confidence interval for the unknown average weight of the population of all the players of opposing teams. Interpret your result.arrow_forwardMore than 59% of adults would erase all their personal information. The hypothesis test results in a p value of .0241. State a conclusion about the null hypothesis. Without using technical terms state a final conclusionarrow_forward
- A newsletter publisher believes that less than 68 % of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?arrow_forwardIn 1995, it was determined that 78% of US citizens supported a ban on household aerosols. Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. In a SRS of 500 citizens taken this year, 350 supported the ban. Determine the pvalue associated with the test. find null and alternate hypothesis.arrow_forwardA random sample of 818 births included 435 boys. Use a 0.05 significance level to test the claim that 50.6% of newborn babies are boys. Do the results support the belief that 50.6% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p=0.506 H1: p>0.506 B. H0: p≠0.506 H1: p=0.506 C. H0: p=0.506 H1: p≠0.506 D. H0: p=0.506 H1: p<0.506 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is: (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is : (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.6% of newborn babies are boys. B.Fail to reject H0. There is sufficient evidence to…arrow_forward
- The mean age of bus drivers in chicago is 56.7 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?arrow_forwardThe Woodcock-Johnson Cognitive Ability (WJCA) test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean WJCA score of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.arrow_forward
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