Using a random sample of 4300 TV households, a media research company found that 62.2% watched the final episode of a long-running popular series. The margin of error in this percent was 1.5%. In a later study, the same media research company increased its random sample to 7100. By how much did this improve the margin of error? The margin of error improved by %. (Round to the nearest tenth as needed.)

Q: If you want a poll to have a margin of error of 2.84%, how large will your sample have to be?

A:

Q: Using a random sample of 3800 TV households, a media research company found that 50.3% watched the…

A:

Q: A recent drug survey showed an increase in the use of drugs and alcohol among local high school…

A: Provided data are, x1 = 65   n1 = 100 x2 = 60   n2 = 100

Q: From the analysis of students’ marks, Mr Adam decided to do one-to-one consultation with his…

A: If we consider that the students should bring the marks above the median, they are only exempted…

Q: For a population with  σ = 8,  X=13 and a z-score = 2.21, find the value of µ

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Q: The 70th percentile of the data presented in the table above is

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Q: In a class of 95 students, the heights of two students were measured and found to be 165 cm. If this…

A:

Q: An Ectopic Pregnancy is twice as likely to develop when the pregnant women is a smoker as it is when…

A: The aim is to get the percentage of women having ectopic pregnancy are smoker.Let A be the event…

Q: A pollster wishes to estimate the number of left-handed scientists. How large a sample isneeded in…

A:

Q: In a sample of 45 men, 27 said that they had less leisure time today than they had 10 years ago. In…

A:

Q: A cognitive psychologist working in the area of suggestion asked a sample of children to solve as…

A: c)The degree of freedom=n1+n2-2=7+7-2=12   Then, at α=0.05, the critical value of t is 1.782.

Q: Will, an art student, randomly sampled oil paintings in a museum. He wanted to find out how many oil…

A: Given :  Margin of Error  (E) = 0.02 The proportion of paintings that were created using the color…

Q: A company wants to know the proportion of consumers willing to buy their product. How many people…

A: Given that ME=margin of error=1.5%=0.015z=critical value off 90% confidence…

Q: Use the figure to the right, which shows the percentages of adults from severa power plants in their…

A: Null hypothesis: H0: pl=p2 Alternative hypothesis: Ha: pl≠p2

Q: What percentage of the people who worked were males?

A: men women total work 15 23 80 not work 23 28 51 total 38 93 131 What percentage of the…

Q: In a study, the rate of success of initial vaccination among 330 subjects receiving the 1:10…

A: Given: Sample size of subjects (n) = 330 Sample proportion or success rate p^=0.971 Hypothesized…

Q: How many success in the sample? How many failures in the sample? ? What size sample does the…

A: Answer:-  Given, n=1800

Q: Consider a survey in which 1000 people are asked “How often do you go to the dentist?”  The variable…

A: Given: Number of people that have been involved in the study = 1000

Q: A mining company finds that daily lost-work injuries averages to 1.2. If the local union contract…

A:

Q: Roy is 4 years old and in the 69th percentile for neight in his age group. Vhat does this mean? Roy…

A: The percentile is used to measure the location of a data set.

Q: In a sample of 47 men, 36 said that they had less leisure time today than they had 10 years ago. In…

A: We have to perform test for difference in two proportion.

Q: In a random survey of 1500 adults in California and 1000 adults in Oregon, you found that 228…

A: Given that

Q: The predicted college GPA for a high school GPA of 3.8 and a college board score of 500 is (Round to…

A: The equation of the college GPA is y^=0.16+0.51x1+0.002x2. The variable x1 is defined as the high…

Q: In research about the population of a county with 100,000 inhabitants, a sample of 3000 households…

A: According to the provided data, a total of 3000 households were contacted to participate in the…

Q: A recent polls show that 61% of adult Americans are comfortable with the legalization of marijuana,…

A:

Q: An immunologist is interested in whether the number of symptoms of the flu a person first exhibits…

A: The test is to check whether the number of symptoms of the flu a person first exhibits is related to…

Q: A group of researchers want to investigate the academic performance of the college students in…

A: Given that, N = 12000 Margin of error (e) = 0.05 The formula for calculating the sample size is,

Q: If you double the sample size in a poll, what effect does that have on the margin of error? By what…

A: The margin of error can be calculated in two ways, depending on whether you have parameters from a…

Q: Is IQ related to GPA?If a student’s IQ is 117, what GPA would you predict?How much of the variation…

A: Given Info :  The provided data are from a random sample of thirty cases from a study by Howell…

Q: A cognitive psychologist working in the area of suggestion asked a sample of children to solve as…

A: According to our answering guidelines, we can answer only first three subparts of a question and the…

Q: a skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p,…

A: It is given that the skeptical paranormal researcher claims that the proportion of Americans that…

Q: Con side that the ten Percent of indlividuals getting tested for the Virus, have the Virus. Now…

A: Let A be the event denoteds the person having virus and B be the event denote the event the person…

Q: What proportion of the general population has an IQ of 70 or less?

A: It is an important part of statistics. It is widely used.

Q: In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that…

A: From the given information, In the upcoming election for governor, the most recent poll, based on…

Q: if you answer 36 problems correctly on a 42 question test what percentage of the problems did you…

A: if you answer 36 problems correctly on a 42 question test what percentage of the problems did you…

Q: An entertainment company surveyed 360 elementary school children and found that 153 of them were…

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Q: Using a random sample of 4000 TV households, a media research company found that 65.8% watched the…

A:

Q: If the proportion of Heads is .25 out of 200 flips, what is the p-value? Round to three places.

A: Given : The proportion of Heads is .25 out of 200 flips.

Q: Suppose that the results of a survey show that 53% of people consider summer as their favorite…

A: Given that Results of a survey show that 53% of people consider summer as their favorite season.…

Q: On a reading test, Amelia’s score of 455 was higher than the scores of 4256 of the 7210 students who…

A: Number of data values less than 465= 4256 Total number of data values= 7210 Percentile=?

Q: A survey of 1104 adults nationwide asked, what irks you most about the actions of other motorists?…

A: Percentage is the ratio of people responded tailgators to the total people surved.

Q: Define If the actual Y score was 31, but the predicted score was 28, then the error of prediction is…

A: The formula for the calculation of the prediction error is given below:

Q: The US population is 13% African American.  If you were to take a SRS of 500 Americans, below what…

A: From the given data The US population is 13% African American

Q: Sleep Aids. The additional sleep, to the nearest tenth of an hour, obtained by a sample of 100…

A: Quantitative variable: A variable that provides numerical values of individual and Arithmetic…

Q: In research about the population of a county with 100,000 inhabitants, a sample of 3000 households…

A: The number of households not willing to participate in the survey is 1200.

Q: A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that…

A:

Q: 2. On a reading test, Amelia's score of 455 was higher than the scores of 4256 of the 7210 students…

A: Obtain the percentile for the Amelia’s score. The percentile for the Amelia’s score is obtained…

Q: If the proportion of Hs is .25 out of 200 flips, what is the p-value? Round

A: Here proportion of head in fair coin should be 0.5 So take hypothesis with proportion p is 0.5 or…

Q: A recent survey found that in a particular city of all poor children born in 1980, 11,500 enrolled…

A: Scaling of data:The scaling of data, or in other words, normalization of data is a mathematical…

Q: A nursing school professor is interested in determining how her college students compare to the…

A: Let X denote the exam score, then assuming that X is normally distributed with mean, µ = 100 and a…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.