For an ANOVA comparing three treatment conditions, what is stated by the null hypothesis (HO)? Question 1 options: There are no differences between any of the population means. At least one of the three population means is different from another mean. All three of the population means are different from each other. None of the other choices is correct.
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- Does more education lower a person’s level of prejudice? The number of years of education and the score on a prejudice test for ten people is given in the following table. Higher scores on the test indicate more prejudice. Years of Education 12 15 14 13 18 10 16 12 10 4 Score on Prejudice Test 1 6 2 3 2 4 1 5 5 10 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the decision for this hypothesis test? Reject the null because the absolute value of the test statistic is greater than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is less than the critical value and the p-value is greater than alpha. Reject the null because the absolute value of the test statistic is less than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is greater than the…Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.A study designed to compare two ethnic groups on a measure of a particular personality trait used a large number of participants to have high power. The study found a significant result, but the difference between the means was very small (that is, there was a small effect size). Talk about the fact that this test is statistically significant but may not be practically significant?
- When three groups were compared using the one-way Analysis of Variance (ANOVA), the result turned out to be significant, that is, the null hypothesis was rejected. What will be the appropriate interpretation of this result?A. All three groups significantly differ in means.B. Exactly two of the three groups significantly differ.C. At least two of the three groups significantly differ in means.D. All three groups have the same effect on the dependent variable.An ANOVA test is a way to find out if survey or experiment results are significant. In other words, they help you to figure out if you need to reject the null hypothesis or accept the alternate hypothesis. ANOVA is a test between groups to see if there’s a difference between them. State the four assumptions required for one-way ANOVA. How crucial are these assumptions? One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations? In one-way ANOVA, identify the statistic used a. as a measure of variation among the sample means. b. as a measure of variation within the samples. c. to compare the variation among the sample means to the variation within the samples. 4. What is a two-way ANOVA?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.
- A manufacturer of laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found that 3% were defective. If the proportion of defectives were really only 1%, there would be than 1 chance in 1000 of getting such a large proportion of defective laptops in the sample. Is there statistically significant evidence against the manufacturer's claim? Why or Why not?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? identify the null and alternative hypothesis What is the test statistic? What is the p-value? What is the critical value? Human activity Natural patterns Don't know Male 343 150 28 Female 356 173 30 Chi-Square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103…Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? Correctly identify the null and alternative hypotheses:
- To compare the effectiveness of two kinds of bumper guards, two independent random samples of six compact cars were outfitted with one of the two guards (6 cars with type 1 and 6 cars with type 2). Then, each car was run into a concrete wall at 5 mph. The average damage estimate for guard 1 was $1440. We know that the population variance of damage using bumper type 1 is 3632. The guard 2 sample had an average of $1490. We know that the population variance of damage using bumper type 2 is 2020. If we assume the populations are normally distributed, does it appear that the guards differ in effectiveness? Select the correct p-value and decision below. (Use α = 0.05.) a. p-value = 0.0516, fail to reject H0 b. p-value = 0.1032, fail to reject H0 c. p-value = 0.0516, reject H0 d. p-value = 0.9894, fail to reject H0 Clear my choiceA scientist is studying the effect of a new type of exercise program on cardiovascular health. The scientist randomly assigns individuals to either the exercise program or a control group. The scientist wants to determine if the exercise program has a statistically significant effect on cardiovascular health. The scientist monitors cardiovascular health by measuring the blood pressure of each individual. The type of program the individual experienced is which of the following? (Select all that apply) The Explanatory Variable Ordinal The Response Variable Categorical Binary Quantitative Categorical(OPHTHALMOLOGY) The following data are from a study on Botox injections. Patients received a high-dose injection in one eye (experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment = treatment C). Patients were asked to rate the level of pain in each eye on a 1–10 scale, with higher scores indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over several visits. Data from the last visit are given in the following table: 1. Which of the following is the correct test to conduct given the situation above? 2. The hypotheses are: 3. What is the level of significance? 4. What is the computed test statistic? Hint: Use (mean of "Pain in E eye") minus (mean of "Pain in C eye") 5. What is the correct decision based on the p-value or critical value method?