A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 231 vinyl gloves, 60% leaked viruses. Among 231 latex gloves, 9% leaked viruses. Using the accompanying display of the technology results, and using a 0.01 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. 1 Click the icon to view the technology results. What are the null and alternative hypotheses? O A. H9: P1 P2 H: P1 =P2 O B. Ho: P1 = P2 H: P1 P2 OF. Ho P1 > P2 Hi Pq =P2 O D. Ho: P1 = P2 Identify the test statistic. (Round to two decimal places as needed.)

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…

The accompanying data set lists performance IQ scores for random samples of subjects with blood lead levels categorized as low (1), medium (2), and high (3). Use a 0.05 significance level to test the claim that subjects in those categories have the same median performance IQ score (IQP). Does lead exposure appear to have an adverse effect? Click the icon to view the data for IQ and Lead Exposure First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O B. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. OC. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that are not all equal. O D. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from…

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 310 139 36 Female 335 156 34 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Họ: The sex of the respondent and the choice for the cause of global warming are independent. H1: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. 0.422 (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed.…