show steps
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.37 hours, with a standard deviation of 2.47 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.29 hours, with a standard deviation of 1.87 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (H1 - H2) - Let up represent the mean leisure hours of adults with no children under the age of 18 and u2 represent the mean leisure hours of adults with children under the age of 18. The 95% confidence interval for (H1 - H2 ) is the range from |hours to hours. (Round to two decimal places as needed.) What is the interpretation of this confidence interval? O A. There is 95% confidence that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. O B. There is a 95% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. O C. There is 95% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. O D. There is a 95% probability that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours.A survey asked, "How many tattoos do you currently have on your body?" Of the 1230 males surveyed, 178 responded that they had at least one tattoo. Of the 1092 females surveyed, 129 responded that they had at least one tattoo. Construct a 99% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p, represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99% confidence interval for p1 - P2. The lower bound is The upper bound is (Round to three decimal places as needed.) Interpret the interval. O A. There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo. O B. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo. O C. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo. O D. There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo
