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- The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.Z?According to a Yankelovich poll, women spend an average of 19.1 hours shopping during the month of December, compared to 12.7 hours for men. as in the table below contains the survey data underlying these results, use the 0.01 level in examining whether the sample mean for women is significantly higher than that for men. find the p-value for the test. women men 13,9 11,9 27,6 15,9 11,6 17,9 21,0 12,6 20,9 12,1 20,3 10,5 9,7 11,9 15,6 16,5 22,5 11,2 26,4 5,3 17,0 14,4 23,2 16,3 13,1 10,8 22,1 10,5 21,6
- A study is being conducted to determine the relationship between religions and preference for female children in Japan. The results are given in the following table. Does it seem that there is a relationship between religion and preference for female children? Use the 5% significance level, to test the claim.Find the test statistic and p valueA survey asked students for their college and their satisfaction with their program. The results are provided in the tables below. Determine if there is a relationship between college and satisfaction at the 0.05 level of significance. Satisfied Not Satisfied Arts and Sciences 5 2 Education 6 1 Technology 14 12 Business 18 12 Health Profession 10 4 Social and Behavioral Sciences 8 12 H0: College and Satisfaction are independent. H1 : College and Satisfaction are dependent. Determine the p-value. What is the correct decision for this test? What is your conclusion, in context? Explain your reasoning.
- A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null…= Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 92 of the 109 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ = P2 O D. Ho: P₁ P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. OB. Ho: P₁ P2 H₁: P₁ P2 ? O E. Ho: P₁ P2 H₁: P₁ P2 P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a =…Which summary statement best reflects the findings of the hypothesis test above. O The sample data suggests that happiness and technology use are dependent. The sample data suggests that the mean happiness scores of the the 3 technology groups are different. The sample data suggests that the mean happiness scores of the the 3 technology groups are not different. The sample data suggests that the proportion of happiness is the same for all technology groups.
- Q3.3 Normal, but why? A meal package for use at the space station is to be prepared by combining three separate components: protein, fruit/vegetable, and grains. Each of the components is to be randomly selected. Summary values for the caloric content for each of the components are given in the table. Component Protein (P) Fruit/vegetable (F) Grain (G) Mean (calories) 120 55 84 Stdv (calories) 6.4 Save Answer 1.0 3.6 Assume that the distributions of caloric content for each of the components are approximately normally distributed. Since the meal package consists of protein, fruit/vegetable, and grains, the total caloric content of a meal package is the random variable T, where T = P + F + G. Briefly explain why it is appropriate to say that T is approximately normally distributed. Q3.4 Probability Less than 275 Calories On your own piece of paper find the approximate probability that a randomly selected meal package will have less than 269 calories? (Draw an appropriate diagram, find a…A survey of 1031 adults in a college asked whether they liked chocolate or strawberry ice cream more. Of those surveyed, 536 said they prefer chocolate. Determine and interpret the sample proportion. At the 5% significance level, does the data provide sufficient evidence to conclude that a majority of students in the college prefer chocolate ice cream?p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…