A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 261 vinyl​ gloves, 60​% leaked viruses. Among 261 latex​ gloves, 12​% 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. Pooled​ proportion: 0.36 Test​ statistic, z: 11.4104 Critical​ z: 2.3264 ​ P-value: 0.0000   98​% Confidence​ interval: 0.3943331

In a random sample of​ males, it was found that 25 write with their left hands and 217 do not. In a random sample of​ females, it was found that 58 write with their left hands and 450 do not. Use a .05 significance level to test the claim that the rate of​ left-handedness among males is less than that among females. Identify the test statistic.z=?

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 newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 252 vinyl​ gloves, 67​% leaked viruses. Among 252 latex​ gloves, 7​% 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.   Pooled​ proportion: 0.37 Test​ statistic, z: 14.0310 Critical​ z: 2.3264 ​ P-value: 0.0000   98​% Confidence​ interval: 0.5251062<p1−p2<

Individual actions can play a large role in the overall health of our planet. A researcher interested in evaluating environment friendly behaviors evaluated how often people recycle (per month) based on whether they have an overall optimistic or an overall pessimistic attitude toward eco-friendly behaviors. The results from this hypothetical study are given in the table.  Test whether or not recycling behaviors differed between groups using a .05 level of significance. State the value of the test statistics and the decision to retain or reject the null hypothesis. Compute effect size using eta- squared (n^2). Pessimistic Optimistic 3 4 0 9 4 6 2 8 1 9 6 5 3 6 5 8 0 6 5 7

A 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.

Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are:   The rank values for Pond 2 are:   (b) The test statistic is:  . (c) The test critical value is:  . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.

According to a recent poll the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use a 0.10 significance level.H0: p = 0.53.  Ha: p ≠ 0.53.α = 0.10Test statistic: z = -1.60.  P-Value = 0.1090State your conclusion about H0.

According to a recent poll, the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use the following results and a 0.10 significance level to state your decision about  H0. H0 : p=0.53 H1 : p≠0.53 test statistic: z = -1.6 p value = 0.1090

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.