A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 255 vinyl gloves, 67% leaked viruses. Among 255 latex gloves, 5% 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. A Click the icon to view the technology results. What are the null and alternative hypotheses? O A. Ho: P1 = P2 H: P, > P2 O B. Ho: P1 =P2 H: P1 #P2 OC. Ho: P1 P2 H: P1 =P2 O F. Ho: P1 =P2 H,: P1

An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is 27,000 hours. A corporate watchdog group is suspicious of the company's claim and thinks that the true average lifespan of the 60- watt LED light bulbs produced by the company may be less than the advertised 27,000 hours. The group collected and tested a random sample of 211 light bulbs and found the average lifespan of the sample was 26,941 hours. Use the p-value method to test the hypothesis that the mean lifespan of this brand of 60-watt LED light bulb is less than 27,000 hours, using a = 0.1. Assume the standard deviation of the lifespan of all such light bulbs is known to be 370 hours. State the null and alternative hypothesis for this test. Ho: ? H₁: ? Determine if this test is left-tailed, right-tailed, or two- tailed. right-tailed two-tailed left-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution…

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

What social media tools do marketers commonly​ use? Researchers surveyed marketers who commonly use an indicated social media tool. Surveyed were B2B​ marketers, marketers focusing primarily on attracting businesses, and B2C marketers, marketers targeting consumers. Suppose the survey was based on 500 B2B and 500 B2C marketers and yielded the results in the table below. For each social media​ tool, at the 0.05 level of​ significance, determine whether there is a difference between B2B marketers and B2C marketers in the proportion who used each social media tool. Social Media Tool    B2B    B2CA                                84%    91%B                                84%    76%C                                82 %   61%D                                39%    53% What is the​ p-value for the test​ statistic and interpretation? For Tool B determine the test statistic. What is Tool B p-value    12. EOC

A statistician changes her level of significance from .001 to .05.  What impact will this change have on her risk of making a Type I and Type II error?  Is the change in the level of significance a good decision?  Why or why not?