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In Exercises 5–20, assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. (Note: Answers in Appendix D include technology answers based on Formula 9-1 along with “Table” answers based on Table A-3 with df equal to the smaller of n1 − 1 and n2 − 1.)
7. Color and Creativity Researchers from the University of British Columbia conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given below. Higher scores correspond to more creativity. The researchers make the claim that “blue enhances performance on a creative task.”
a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task.
b. Construct the confidence interval appropriate for the hypothesis test in part (a). What is it about the confidence interval that causes us to reach the same conclusion from part (a)?
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- D Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. Ho : P1 – p2- Select your answer - Ha : Pi - P2 - Select your answer - b. Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. p-value = %3D At a = 0.05 level of significance, what is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their financial security is more than fair. II.…arrow_forward6. A population study studied 22,000 male physicians who were assigned to either a low-dose aspirin treatment or a placebo. They followed the physicians for about 5 years and recorded whether or not they had a myocardial infarction (heart attack). The data is presented below. Heart Attack No Heart Attack Aspirin 139 10898 Placebo 239 10795 Note the data is real data from a real study. Conduct a chi-square test (Use = clear about whether this is a Chi-Square Test for Independence or a Chi-Square Test of Homogeneity, and state you conclusions appropriately. 0.05). Be sure you arearrow_forward24. answer part barrow_forward
- The U.S. Bureau of Labor Statistics reports that 11.6% of U.S. workers belonged to unions in 2020. A random sample of U.S. workers collected in 2021 to determine whether union efforts to organize have increased union membership found 14% belonged to a union. (a) Which hypotheses should be used to test if the proportion of U.S. workers who belonged to unions has increased since 2020?H0: Ha: (b) The standard error is 0.0189. How should this be interpreted?The standard error is the average distance between a and the . (c) What is the test statistic? (4 decimals) (d) What is the p-value? (4 decimals) (e) How should this p-value be interpreted? This is the probability that the true proportion of U.S. workers belonged to unions has stayed the same.This is the probability that the true proportion of U.S. workers belonged to unions has increased. This is the probability of getting a sample proportion of 0.14 or greater, assuming the true proportion of U.S.…arrow_forwardSuppose data shows that only 50% of breast cancer patients can survive more than 5 years. You suspect the percentage is too low, so you'd like to conduct a study to examine this situation. What is the null and alternative hypothesis in this situation?arrow_forwardA poll of 1,000 American adults, conducted by telephone June 19–20, 2002, was designed to measure beliefs about apocalyptic predictions. One of the results reported was that 57% of the sample said that they believe the world will come to an end in the manner predicted in the New Testament. (Round your answers to three decimal places.) (a) Calculate the standard error of the sample proportion who believe that the world will come to an end in this way. (b) Calculate a 95% confidence interval for the population proportion. __to___ Interpret the interval in a way that could be understood by a statistically naive reader. We are 95% confident that the true proportion of the 1,000 American adults that were polled who believe the world will come to an end in the manner predicted in the New Testament falls within this interval. a)There is a 95% chance that the true proportion of everyone in the world who believes the world will come to an end in the manner predicted in the New…arrow_forward
- part D E Farrow_forwardPART 2 (CLO 2) Test a claim that the mean height of people you know is not equal to 64 inches using the p-value method or the traditional method by completing the following: PERSON WEIGHT HEIGHT (INCHES) Person 1 160 62 Person 2 180 67 Person 3 187 68 Person 4 202 71 Person 5 142 65 Person 6 201 65 Person 7 150 66 Person 8 133 62 Person 9 120 64 State H0 and H1. Find the p-value or critical value(s). Draw a conclusion in the context of the situation.arrow_forwardAccording to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct null hypothesis. A. H0: The number of babies born throughout the year is equal across all 12 months B. H0: The number of babies born during the summer months is greater than the number of babies born during the rest of the year C. HA: The number of babies born in…arrow_forward
- According to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct alternative hypothesis A. H0: The number of babies born throughout the year is equal across all 12 months B. HA: The number of babies born in at least one month of the sample is equal to the number of babies born in at least one month of the population C. HA: The…arrow_forwardAccording to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. What is the value of X2-crit? A. 5.72 B. 4.72 C. 19.68 D. 21.92arrow_forwardAccording to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct value for df. A. 5.72 B. 11 C. 107 D. 0.89arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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