A corrections officer read that 58% of runaways are female. He believes that the percentage is higher than 58%. He selected a random sample of 90 runaways and found that 63 were female. At a=0.05, can we conclude that his belief is correct?

Q: Based on information from a previous study, r1 = 37 people out of a random sample of n1 = 97 adult…

A: The provided information are:

Q: Nationally, the proportion of red cars on the road is 0.12. A statistically-minded fan of the…

A: The following hypothesis can be formed

Q: A researcher administers a treatment to a sample from a population with a mean of µ = 60. If the…

A: From the provided information, The researcher administers a treatment to a sample from a population…

Q: A study found that 80% of teenagers use social media on a regular basis. John wants to investigate…

A:

Q: Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 104 adult…

A: The parametric test contain the assumption of normally distribution. But the non parametric test is…

Q: A student wondered what proportion of a large jar of thousands of marbles were red and speculated…

A: From the provided information, The population proportion (p) = 0.30 Sample size (n) = 50, out of…

Q: Jeffrey thinks that students on the baseball team who drink Sporty brand sports drink score more…

A: In the given problem,  Jeffrey thinks that students on the baseball team who drink Sporty brand…

Q: A teacher designed an experiment to see whether students would do better on a quiz when it was…

A: Introduction: Number of students who took the test on yellow paper = 40. Number of students who…

Q: According to a certain government agency for a large​ country, the proportion of fatal traffic…

A: Solution: Given information: n= 110 Sample size of traffic fatalities x= 49 traffic fatalities…

Q: A teacher designed an experiment to see whether students would do better on a quiz when it was…

A: Given , 25 of the 40 student who took the test on yellow paper passed the test.   Number of students…

Q: Use the figure to the​ right, which shows the percentages of adults from several countries who favor…

A:

Q: A researcher is interested in the effect of the pandemic on social media use among college students.…

A: a) Here, The researcher is interested to know whether the students spend more time on social media…

Q: A survey of 100 randomly selected students at Centre High Campus was conducted. The survey…

A: The interpretation of a 90% confidence interval(=a%±b%) is that we are 90% confident that the…

Q: .The average length of a flight by regional airlines in the United States has been reported s464…

A: We have given that  Sample size n = 30 Sample mean =479.6 Standard deviation =42.8

Q: A sample of n = 100 scores is selected from a population with u = 50 and o = 5. If the sample mean…

A: Given Sample Mean: x̄ = 49 Sample Size: n = 100 Population Mean: μ = 50 Population Std Dev: σ =  5…

Q: Assume that half the population is vegetarian so that the chance of an individual being a vegetarian…

A:

Q: A company that produces cranberries knows that about 7% of its cranberries are bruised in the…

A: It is given that the p-value is 0.004.

Q: A teacher designed an experiment to see whether students would do better on a quiz when it was…

A: Given data: To display the data  in a two way frequency table.

Q: ased on information from a previous study, r1 = 38 people out of a random sample of n1 = 105 adult…

A: Introduction: Denote p1, p2 as the true population proportions of people who believe in…

Q: In the recent Census, three percent of the U.S. population reported being of two or more races.…

A:

Q: On average, a sample of n = 36 scores from a normal population with σ = 10 will provide a better…

A: Given n1=36 Standard deviations=10 n2=9

Q: A statistician wants to determine if there is a difference in the fuel efficiency of cars between…

A: Given info: The claim of the test is there is a difference in the fuel efficiency of cars between…

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A: Solution: Given information: n= 109 Sample size of  traffic fatalities . p0= 0.34 Population…

Q: Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and…

A: The given null and alternative hypotheses are: H0:p=0.30H1:p=0.30 The sample proportion for…

Q: A research center claims that 26% of adults in a certain country would travel into space on a…

A: Givenp^=0.30n=800α=0.10

Q: A random sample of voters found that 180 out of 320 people were in favor of a gas tax. Election…

A: Given Random sample is 180 out of 320 voters are in support of tax. Total 36000 people voted in…

Q: In a National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that…

A: Given: n= 2300 ,x= 805 p= 0.33 ,significance level(∝)= 95.0 p̂= 805 / 2300 =define hypothesis;-

Q: The management of the Seaside Golf Club regularly monitors the golfers on its course for speed of…

A: From the provided information,

Q: Based on information from a previous study, r1 = 30 people out of a random sample of n1 = 107 adult…

A: Here is given that r1 = 30    r2 = 46    n1 = 107   n2 = 107 we will find proportions of both…

Q: A simple random sample of heights of 6400Englishmen has a mean of 67.85 inches and SD 2.56 inches,…

A: Since the sample size is large so we can assume normality.Null hypothesis: H0: Australians are same…

Q: Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 106 adult…

A:

Q: Based on information from a previous study, r1 = 39 people out of a random sample of n1 = 105 adult…

A: The test statistic for the difference of proportion is, Z=p1-q1P^(1-P^)1n1+1n2wherep1 and p2=sample…

Q: Based on information from a previous study, r1 = 37 people out of a random sample of n1 = 97 adult…

A: The proportion of adult Americans who did not attend college believe in extraterrestrials is, Thus,…

Q: A statistician for an automotive review magazine wants to determine whether there is a difference in…

A: Given info: The test statistic is t=6.163 The rejection regions are t<–1.860 and t>1.860. The…

Q: A researcher is interested in the effect of the pandemic on social media use among college students.…

A: 1) The researcher wants to test the effect of the pandemic on social media use by college students.…

Q: Based on information from a previous study, r1 = 34 people out of a random sample of n1 = 105 adult…

A: Given  r1=34, n1=105, r2=50, n2=105  p1^=r1/n1  p2^=r2/n2

Q: 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects…

A:

Q: An organization published an article stating that in any one-year period, approximately 11.5 percent…

A:

Q: One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores had a mean of M…

A:

Q: (b) A simple random sample of heights of 6400Englishmen has a mean of 67.85 inches and SD 2.56…

A: In this problem, we have to test whether the data indicates that Australians are taller than…

Q: In a random sample of 1022 U.S. adults, 480 think that the U.S. government is doing too little to…

A: Hypotheses:   Here p1 and p2 be the two proportions. The aim is to check whether p1= p2. The null…

Q: State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of…

A: Given that  Sample size n =270 Favorable cases x =194 Sample proportion p^=x/n  =194/270 =0.7185…

Q: A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a…

A: It is need to be tested whether the population proportion of adults in U.S who do not eat breakfast…

Q: A poll in 2017 reported that 699 out of 1027 adults in a certain country believe that marijuana…

A: Given Information: Sample size (n) = 1027 X = 699 Sample proportion is given by the formula:…

Q: . In words, define the Random Variable for this test. b. Which distribution (Normal or student's-t)…

A: Given : In the recent Census, 3 percent of the U.S. population reported being two or more races.…

Q: A research center claims that 30​% of adults in a certain country would travel into space on a…

A: One sample proportion test is used to compare the proportion of values in given sample of data to…

Q: n a survey of 1000 adult Americans, 45.7% indicated that they were somewhat interested or very…

A: Solution: Given information: n= 1000  Sample size  p^= 0.457  Sample proportion p= 0.50 Population…

Q: In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from…

A: Given information- Sample size, n = 88 It is found that 8 of them suffer from asthma. So, x = 8 So…

Q: An experiment was designed to compare the lengths of time that four different drugs provided pain…

A: Test hypotheses: There are 4 types of old drugs. Denote the true average time of each of the 4 drugs…

Q: The manufacturer of a new racecar engine claims that the proportion of engine failures due to…

A: Given data : x1= 14.0 n1= 135 x2= 8.0 n2= 175

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.