Can it be concluded that the percentage today is less than 76% if a=0.01?

Q: t appears that not all people are equally vulnerable to cancer.
People from some ethnic groups have…

A: Solution:

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: 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: For a certain year a study reports that the percentage of college students using credit cards was…

A: Given that,possible chances (x)=40sample size(n)=50success rate ( p )= x/n = 0.8success…

Q: A sample of n = 81 scores is obtained from a population with µ = 80 and σ = 27. If the sample mean…

A: Given that, Sample size, n = 81 Z score = +2.33 μ=80 and σ=27

Q: A decade-old study found that the proportion, p, of high school seniors who believed that "getting…

A:

Q: To test the effectiveness of a new drug designed to relieve flu symptoms, 200 patients were randomly…

A: Given data: Significance level = 0.05 Given claim: The proportion of patients who took the drug was…

Q: Suppose that you are interested in determining whether the advice given by a physician during a…

A: (a)   Obtain the value of true difference in the population proportion p1–p2.   The value of true…

Q: (b) dogs are cuter than cats differs between genders. In the same survey, he found additional…

A:

Q: In a survey of 1000 adult Americans, 45.9% indicated that they were somewhat interested or very…

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 fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese…

A:

Q: A statistician computed the Z-scores of all the observations in a sample and after he added all of…

A: The Z-score for the ithobservations in a sample is given by :  Zi=xi-μσ The sum of the Z-scores for…

Q: A hospital director is told that 32%of the emergency room visitors are uninsured. The director wants…

A:

Q: A sample of n = 4 scores is selected from a population with μ = 50 and σ = 12. If the sample mean is…

A: Given datan = 4μ = 50 and σ = 12, sample mean M= 56z-score is given by

Q: In a random sample of 1000 persons from U.P. 510 were found to be consumers of cigarettes. In…

A:

Q: Biologists were studying the proportions of cats that had spotted markings on their fur in two…

A: Correct answer is  (A)

Q: In a random sample of 300 patients with rheumatoid arthritis, 192 of them responded favourably to a…

A:

Q: In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A…

A: Here we need to calculate the value of the Z statistic.

Q: A law enforcement agent believes that 80% of the drivers stopped on Saturday nights for speeding are…

A:

Q: A random sample of n = 49 scores is obtained from a population with σ = 14. If the sample mean is…

A: It is given that  n=49 σ = 14 Population mean =μ Sample mean,x=4.5+μ

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 sample of n = 100 scores is selected from a population with u = 100 with o = 30. On average, how…

A: The formula of the standard error of the mean is,

Q: In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s,…

A: The random variable dreaming in color follows binomial distribution. The sample size is 113. The…

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

A:

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

A: Null hypothesis is the statement of the no difference whereas the alternative hypothesis states the…

Q: A decade-old study found that the proportion, p, of high school seniors who believed that "getting…

A: The sample proportion is, The null hypothesis is, The alternative hypothesis is, Significance…

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: An organization published an article stating that in any one-year period, approximately 8.2 percent…

A: Proportion z_test: If the given sample size is more than 30 or Population standard deviation is…

Q: Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least…

A: From the provided information, Confidence level = 95% The confidence interval = (0.2534, 0.3894)

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: In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s,…

A: Solution

Q: Among college students, the proportion p who say they're interested in their congressional…

A:

Q: Members of the city council want to know if a majority of city residents supports a 1% increase in…

A: Since the value p-value is significantly large P-value=0.18 hence we will not be able reject the…

Q: In a survey, 45% of the respondents stated that they talk to their pets on the telephone. A…

A: Given,n=240x=104p^ =xn p^ =104240 p^ =0.4333H0 :P=0.45H1 : P<0.45α=0.01

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: In a survey, 43% of the respondents stated that they talk to their pets on the telephone, A…

A: The hypothesized proportion is 0.43.

Q: In a survey, 45% of the respondents stated that they talk to their pets on the telephone. A…

A: From the provided information, The test statistic value z = -0.52. Level of significance (α) = 0.01

Q: In a random sample of  320  cars driven at low altitudes,  50  of them exceeded a standard of  10…

A:

Q: A university counselor believes that hypnosis is more effective than the standard treatment given to…

A: There are two types of tests in the hypothesis. 1.parametric test and 2.Non parametric test. If the…

Q: Do vaccines work? I take a sample of 1000 of unvaccinated people exposed outside and determined that…

A: State the hypotheses.

Q: On average, a sample of n = 36 scores will provide a better estimate of the population mean than a…

A: We have to identify trueness of statement.

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: sample of 100 high income voters and 40 out of a sample of 75 low income voters supported a decrease…

A: Given : x1= 60.0 n1= 100 x2= 40.0 n2= 75 significance level, 0.05

Q: A fish biologist hypothesizes that the proportion of fish in Lake Ontario that are Black Carp has…

A:

Q: A brokerage firm is curious about the proportion of clients who have high-risk stocks in their stock…

A:

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

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.