A random sample of 125 hypertensive and 150 normal senior citizens were asked if they read nutrition labels on food products. Results are presented below. Does Not Reads Read Nutrition Nutrition Labels Labels Hypertensive 35 90 Normal 38 112 Is there evidence of a significant difference between the proportions of hypertensive and normal senior citizens who read nutrition labels? Use a 5% level of significance.
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- What is meant by the sample space of an experiment?A random sample of 1100 potential voters was randomly divided into 2 groups. Group 1: 500 potential voters; no registration reminders sent; 248 registered to vote Group 2: 600 potential voters; registration reminders sent; 332 registered to vote Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not? Use a 1% level of significance.A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. Compute the p-value. Does the evidence support the computer manufacturer's claim at the 10% significance level?
- A clinical trial is conducted to compare a new pain re- liever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo, and the outcome is pain relief within 30 minutes. The data are shown in Table 7–8. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance. Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99According to the U.S. Transportation Security Administration (TSA), 2% of the 771,556,886 travelers who utilized 440 federalized airports in 2017 waited more than 20 minutes in the TSA security line. The File TSAWaitTimes contains waiting Times in TSA security lines at a major U.S. airport for a recent random sample 10,531 travelers. Use these Data to test the hypothesis that the proportion of travelers waiting more than 20 minutes in TSA security lines at this airport is the same as the national proportion at α = .05 Data given: Time In Line Mean 11.99496 Median 11.97536 Standard Deviation 3.992043 Confidence Level(95.0%) 0.076253 Provide a 95% confidence interval with interpretationA Gallup poll to survey the top concerns of Americans was conducted. Suppose that 725725 women and 745745 men were independently and randomly selected, and that 406406 women and 354354 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2p2 )? Use a significance level of α=0.05α=0.05 for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places.
- A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 228 vinyl gloves, 57% leaked viruses. Among 228 latex gloves, 11% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Pooled proportion: 0.34 Test statistic, z: 10.5783 Critical z: 1.2816 P-value: 0.0000 80% Confidence interval: 0.4199096<p1−p2< 0.5186869 Identify the test statistic. Identify the P-value.A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. 1.Compute the p-value. 2. Does the evidence support the computer manufacturer's claim at the 10% significance level?a) The plant manager of a company that makes pillows claims that only 8 percent of thepillows made have a stitching defect. The quality control director thought that thepercent might be different from 8 percent and selected a random sample of pillows totest.
- An article claimed that "those with a college degree reported a higher incidence of sunburn than those without a high school degree—45 percent versus 26 percent." For purposes of this exercise, suppose that these percentages were based on random samples of size 200 from each of the two groups of interest (college graduates and those without a high school degree). Is there convincing evidence that the proportion who experience a sunburn is higher for college graduates than it is for those without a high school degree? (Use pcollege graduates − pwithout a high school degree. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P =An American medical team wishes to test whether passive smoking affects the chance of children contracting bronchitis. Historically, the disease has been known to occur at least once in 20% of children aged 12. The team analysed the results of a random sample of 250 12-year-old children who were passive smokers, and found that 30 of these had contracted bronchitis at least once in their lives. Use a 5% level of significance to test the claim that the proportion of children who are passive smokers is 20%. What is the null and alternate hypotheses What is the value of the test statistic from below z = 3.16 z = -3.16 z =3.89 z = -3.89 What is the p-value from below 0.0016 0.0008 0.0000 0.0001 Based on this evidence, what is the conclusionIndependent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level