A random sample of 376 married couples found that 296 had two or more personality preferences in common. In another random sample of 550 married couples, it was found that only 34 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. (a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit upper limit

1. Out of a sample of 150 people who walked into a fast-food restaurant, 135 said they prefer ketchup to mustard on their hamburgers. With 89% confidence, what is the confidence interval for the population mean of customers that prefer ketchup to mustard on their hamburgers? O CI = (86.09%, 93.91%) O CI = (85.20%, 94.80%) O CI = (82.61%, 95.87%) O CI = (83.69%, 96.31)   2. Out of all the students that attend Yale University, 1,982 were selected to participate in a school survey about their commute to school. 70% said that their commute to school was fine, while the others were dissatisfied with their commute. Calculate a 90% confidence interval for the proportion of students at Yale who feel their commute to school is fine the way it is. O CI = (68.76%, 71.98%) O CI = (67.35%, 72.65%) O CI = (68.31%, 71.69%) O CI = (67.98%, 72.02%)   3. Out of a sample of 500 people, 25% exercise daily. What is the confidence interval for the…

A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 599 randomly selected Texans surveyed, 370 were in favor of the initiative and of the 545 randomly selected New Yorkers surveyed, 474 were in favor of the initiative. a. With 99% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 599 randomly selected Texans and 545 randomly selected New Yorkers were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about percent will not contain the true population difference in proportions.

When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. a.Find a 99% confidence interval estimate of the percentage of yellow peas b. Based on his theory of genetics, Mandel expected that 25% of the offspring peas would be yellow. Given that percentage of offspring yellow peas is not 25%, do  the results contradict mendel's theory? Why or why not?