Math

StatisticsQ&A LibraryA random sample of 386 married couples found that 294 had two or more personality preferences in common. In another random sample of 570 married couples, it was found that only 40 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 90% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common?Start your trial now! First week only $4.99!*arrow_forward*

Question

A random sample of 386 married couples found that 294 had two or more personality preferences in common. In another random sample of 570 married couples, it was found that only 40 had no preferences in common. Let *p*_{1} be the population proportion of all married couples who have two or more personality preferences in common. Let *p*_{2} be the population proportion of all married couples who have no personality preferences in common.

(a) Find a 90% confidence interval for *p*_{1} – *p*_{2}. (Use 3 decimal places.)

(b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common?

lower limit | |

upper limit |

Tagged in

Math

Statistics

Find answers to questions asked by students like you.

Q: There are 80 questions from an SAT test, and they are all multiple choice with possible answers of a...

A: Define the random variable x as the number of correct answers. Here, the number of questions (n) is ...

Q: Poverty and Dietary Calcium. Calcium is the most abundant mineral in the human body and has several ...

A: In this case, consider the distribution of the calcium intakes of adults with incomes below the pove...

Q: Ultimate Binomial Exercises! Exercises 37–40 involve finding binomial probabilities, finding paramet...

A: a)Define the random variable x as the number of green candies. Here, the number of samples (n) is 10...

Q: Counting with Fingers How many different ways can you touch two or more fingers to each other on one...

A: Click to see the answer

Q: What number commonly represents false ?

A: Logic operations include any operations that manipulate Boolean values. Boolean values are either tr...

Q: An instructor in a large lecture class found, at the end of the semester, that the total point distr...

A: If 10% of the class is to receive A’s the lowest number of points that a student can have and still ...

Q: In Exercises 21–24, assume that when adults with smartphones are randomly selected, 54% use them in ...

A: Click to see the answer

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always...

A: The requirements for a discrete probability distribution are,

Q: Blood Pressure and Platelets Given below are the systolic blood pressure measurements (mm Hg) and bl...

A: Here, the association between systolic blood pressure and blood platelet has to be obtained.

Q: Under what circumstances is using a normal probability plot to assess the normality of a variable us...

A: Here, it is observed that the normal probability plot determines the shape of the distribution bette...

Q: Phase I of a Clinical Trial A clinical test on humans of a new drug is normally done in three phases...

A: a. Different sequential arrangements that are possible if 14 people are selected from the 16 that ar...

Q: Annual Income. Refer to Problem 18. OutputsA.22(a), (b), and (c) on page A-62 display, respectively,...

A: Click to see the answer

Q: A quantitative data set has been grouped by using limit grouping with equal-width classes of width 5...

A: a)From the provided information,If the class mark of the first class is 8, the lower and upper limit...

Q: Regarding the estimate of the conditional standard deviation,σ,, which of the three sums of squares ...

A: Justification:Estimate of the conditional standard deviation:

Q: In Exercises 25–28, find the probabilities and answer the questions. Vision Correction A survey spon...

A: Define the random variable x as the number of adults who need eyesight correction. Here, the total n...

Q: Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarize...

A: Class limit: The smallest and the largest value for a class are called as class limits. The smallest...

Q: The percentage of all possible observations of the variable that lie between 7 and 12 equals the are...

A: The percentage of all possible observations of the variable within any given specified range for a v...

Q: could you help me solve these examples? given a=3 and b=4 and the chart

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: The given claim is that subjects who respond in favor is equal to 0.5.The null and the alternative h...

Q: A simple random sample is taken from a population and yields the following data for a variable of th...

A: Point estimate:Point estimate is the single value obtained from point estimation on a set of sample ...

Q: Can you help me solve and understand these questions?

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: #3

A: Click to see the answer

Q: Testing for Content Accuracy. A brand of water-softener salt comes in packages marked “net weight 40...

A: a)The probability that the weight of one randomly selected bag of water-softener salt will be 39 lb ...

Q: What is a statement that can be proven called

A: In this case, we need find “what is the statement that can be proven called”.

Q: *Bridge. A bridge hand consists of an unordered arrangement of 13 cards dealt at random from an ordi...

A: a)Here, order doesn’t matter. Hence, combination is applied.Combination Rule:A combination is an arr...

Q: The prices of an airline flight from New York City to Los Angeles on September 7, 2013 around 8 am,a...

A: a.Mean:

Q: In each of Exercises, assume that the variable under consideration has a density curve. Note that th...

A: a.It is given that 28.4% of all possible observations of the variable are less than 11.The probabili...

Q: E is an event and P(not E) = 0.4. Find P(E).

A: According to the provided information,

Q: Here is a data set that has a nearly normal distribution. data data data data 70.72 59.02 53....

A: Given data

Q: In each of Problems, assume that the variable under consideration has a density curve. Note that the...

A: The percentage of all possible observation of the variable that lie within any specified range equal...

Q: Classic Counting Problem A classic counting problem is to determine the number of different ways tha...

A: Given word:MississippiWe have to find number of different ways that the letters of “Mississippi” can...

Q: 8. True or False? The mean is the best measure of central tendency for a data set where they are no ...

A: Mean:It is one of the measures of central tendenacy where the value is calculated by dividing the su...

Q: Although, in general, you cannot know the sampling distribution of the sample mean exactly, by what ...

A: Sampling distribution of a sample mean:

Q: False Positive Find the probability of selecting a subject with a positive test result, given that t...

A: In this case the data is shown below:

Q: decimal equivalent to 3/2pi

A: Note:Hey there! Thank you for posting the question. For the calculation we are considering given val...

Q: A researcher conducted a one-way ANOVA and found F(3,27) = 3.5. In other words, dfbetween = 3 and df...

A: The critical value of F at 0.01, level of significance is obtained as shown below:From the given inf...

Q: Diarrhea Vaccine. Acute rotavirus diarrhea is the leading cause of death among children under age 5,...

A: Given:Probability of success = p = 0.80Number of trials = n = 1500We have to find probabilities usin...

Q: A variable is normally distributed with mean 6 and standard deviation 2. Find the percentage of all ...

A: It is given that the mean is 6 and standard deviation is 2.

Q: Mobile Homes. According to the U.S. Census Bureau publication Manufactured Housing Statistics, the m...

A: a.The mean and standard deviation are,Mean:

Q: Duration of Marriages. The National Center for Health Statistics publishes information on the durati...

A: Median is preferred if the data sets are very large or small.

Q: Powerball As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot require...

A: The number of ways to selecting five numbers between 1 and 52 is,

Q: 10. Who established: 3 <T < 3 70 11. What is log1o 5 to 3 sig. figs.? 12. What is log 3 to 2 sig. fi...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, according ...

Q: Regarding multiple linear regression analysis: a. What sum of squares is made as small as possible ...

A: a)Method of least squares: