11. In a recent poll, 16% of political Independents approve of Congress (N = 200). Among registered Republicans (N = 150), 10% approve of Congress. Test the null hypothesis that Congressional approval is the same between Republicans and Independents (alpha = 0.1).
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- A researcher wants to compare the effectiveness of two treatments on a sample of 25 patients. What is the null hypothesis for the Wilcoxon Signed-Ranks Test?College administrators at the same institution are further concerned about the differences in binge drinking behaviors among men and women on campus. Suppose of the 268 participants surveyed about their drinking habits that reported binge drinking behaviors, 94 were female. Is there statistically significant evidence at the alpha level of 0.05 that males partake in binge drinking behaviors more so than females involved in Greek life organizations? Write out your null and alternative hypotheses and interpret your results. A. Hypotheses: H0: p=0.50 and Ha: p<0.50 B. Test Statistic: (Normal approximation to the binomial is used) ���^ = 0.03054 zstat= -4.88678 C. P-value: P < 0.0002 D. Significance level: Are the results significant? Group of answer choices Yes, the evidence against H0 is not sufficient to warrant its rejection. Yes, the evidence against H0 is sufficient to warrant its rejection. No, the evidence against H0 is not sufficient to…A researcher wants to determine if a new advertising campaign improves the amount of time kids spend reading compared to the general population. If she rejects the null hypothesis, she has decided that the advertising campaign _____________ and that her sample of kids _____________. improves reading; is different from the general population doesn’t improve reading; is different from the general population improves reading; is the same as the general population doesn’t improve reading; is the same as the general population
- Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the null and alternative hypothesis?You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 65% at a level of significance of αα = 0.01. According to your sample, 39 out of 55 potential voters prefer the Democratic candidate. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65% The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 65%. The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65%. Interpret…If my test statistic is Z = 2, my alpha is .05 and I am doing a one sided test, what is my decision? A-Fail to reject the z-statistic B-Fail to reject the null hypothesis C-Reject the alternate hypothesis D-Reject the null hypothesis
- . The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?Suppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood. (a) Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? to (b) If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense. The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.For your study on the food consumption of teenage males, you randomly selected 20 males and ask each how many 12-ounce servings of soda he drinks each day. The results are listed below. At alpha = 0.1, is there enough evidence to support the claim that teenage males drink fewer than five 12-ounce servings of soda per day? The hypothesis test. 3.3, 4.1, 3.5, 2.7, 3.4, 3.3, 4.8, 3.4, 5.2, 3.2, 2.5, 3.8, 5.0, 1.9, 3.9, 5.3, 2.9, 1.8, 4.2, 2.2
- An organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. p' = Calculate ?x. Find the p-value.31% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?University Registrar office wants to see if the proportions of undergraduate students that will graduate in 2017 and 2018 and who plan to continue their studies at University are equal or not. For that purpose, they collect samples of 50 people from each group. Out of the 2017 group, 20 answered yes. Out of 2018, 25 answered yes. At alpha 0.05, are the population proportions equal or not? Select one: a. Reject Null, Z stat =1.96 b. Fail to reject Null, Z stat= 1.005 c. Fail to reject Null, Z stat =1.96 d. Reject Null, Z stat= 1.005