A random sample of 30 binomial trials resulted in 12 success. Test the claim that the population porportion of successess does not equal 0.50. Use a level of significance of 0.05.   D) Compute the corresponding standardized sample test statistic? Round answer to 2 decimal places E) Find the P- Value test statistic? Round answer to 4 decimal places F) do you reject or fail to reject the Ho? explain G) what do the results tell you?

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Q: O asked 1439 randomly sampled American citizens, "Do you think we can develop a way to protect…

A: Given that  Sample size n =1439 Favorable cases x =766 Sample proportion p^=x/n  =766/1439 =0.5323

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A: A builder claims that bidets are installed in 70% of all homes being constructed today in suburban…

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A:

Q: A city had an unemployment rate of 7%. The mayor pledged to lower this figure and supported programs…

A: The claim is that the unemployment rate had actually decreased and hypothesized proportion is 0.07.

Q: A simple random sample of size n= 200 drivers with a valid driver's license is asked if they drive…

A: Solution: Given information: n= 200 Sample size x =119 success p^=xn=119200= 0.595 Sample proportion…

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Q: Consider a sample of 54 football​ games, where 28 of them were won by the home team. Use a 0.01…

A: From the provided information, Sample size (n) = 54 out of which 28 were won by the home team.…

Q: the value in (f) of the above table? [ Select ] 7. What's the value in (g) of the above table?…

A: From the given information, SST=10,800 and SSTR=4560.

Q: can you support the claim that the proportion of drivers who wear seat belts is greater in the South…

A: Given : x1= 404.0 n1= 490 x2= 279.0 n2= 380 significance level, 0.07

Q: Consider a sample of 45 football​ games, where 32 of them were won by the home team. Use a 0.10…

A: H0 : p =0.5 H1 : p >0.5 Population proportion = p₀ = 0.5 Sample number of events = x =32…

Q: The report "Digital Democracy Survey"t describes a large national survey. In a representative sample…

A: Given,  sample size=700 level of significance=0.05 sample proportion, p=45%=0.45   Since the sample…

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A: State the hypotheses. That is, there is no evidence that the most of the proportion of medical…

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A: Given Information Hypothesized proportion p = 0.113 n = 400 x = 52 Sample proportion is given by

Q: Consider a sample of 45 football​ games, where 26 of them were won by the home team. Use a 0.01…

A:

Q: The    Youth    Risk    Behavior    Survey    (a    study    of    public    high    school…

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Q: In a study of 816 randomly selected medical malpractice lawsuits, it was found that 515 of them were…

A: Given, The sample proportion is, The null and alternative hypothesis is:

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Q: 2. Approximately what is the probability of selecting an SAT sample mean having a z-score between…

A: P(-1<z<1)=?

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A: Given X1=11 X2=12 n1=40 n2=30

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A: It was stated that “Are younger people more likely to be vegan/vegetarian?”, To investigate, the Pew…

Q: The french naturalist buffon tossed a coin 4040 times and obtained heads 2048 times ( A) use…

A: Given, n = 4040 x = 2048 α = 0.01 proportion for obtainned head is p1 = xn= 20484040 = 0.5069     To…

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

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A: The hypotheses are given below: Null hypothesis: H0:µ=60 Alternative hypothesis: H1:µ≠60…

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A: Let p1: proportion of single men who go out dancing occasionally p2:proportion of single women who…

Q: In a Harris poll, adults were asked if they are in favor of abolishing the penny. Among the…

A: Confidence interval: The (1-α) % confidence interval for proportion p is given by,

Q: A car manufacturer claims that less than 10% of its cars should need repairs in the first three…

A: Given : Claim : less than 10% of its cars should need repairs in the first three years of their…

Q: Consider a sample of 50 football​ games, where 27 of them were won by the home team. Use a 0.05…

A: Given,   The sample proportion is,

Q: Quit smoking: In a survey of 444 HIV-positive smokers,194 reported that they had used a nicotine…

A: Given,   The sample proportion is,

Q: A car manufacturer claims that less than 10% of its cars should need repairs in the first three…

A: Given,n=50x=8sample proportion(p^)=xnp^=850=0.16population proportion(P)=0.10H0:P=0.10H1:P<0.10

Q: Consider a sample of 50 football​ games, where 28 of them were won by the home team. Use a 0.10…

A: Solution: Given information: n= 50 Sample size of football games x= 28  football games won by the…

Q: A published report claims that 35% of college students have used an online dating site or app.…

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Q: Use an appropriate formula for the Critical Value r' for the sample size of n = 123, 2 tail-test for…

A: At 95% confidence level, the level of significance, α=0.05 and at n = 123 critical values for the…

Q: Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high…

A: The hypothesized proportion is 0.56.

Q: For a left-tailed test conducted using a sample greater than 30, and 89.8% confidence level, the…

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Q: in a study of government financial aid for college students it becomes necessary to estimate the…

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Q: In a study of 811 randomly selected medical malpractice​ lawsuits, it was found that 496 of them…

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Q: In the past, 44% of those taking a CPA qualifying exam pass the exam on their first try. With the…

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Q: A simple random sample of size n= 200 drivers with a valid driver's license is asked if they drive…

A: Correct option= A) hypothesis test on population proportion

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Q: A publisher reports that79%of their readers own a personal computer. A marketing executivewants to…

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Q: In a completely randomized design, seven experimental units were used for each of the three levels…

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Q: A group of students estimated the length of one minute without reference to a watch or clock, and…

A: Given data is71,80,38,65,44,25,60,66,64,48,63,72,90,86,65α=0.01Mean(x)=62.4667standard…

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.