Conduct a test at the alpha equals0.10   level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling.   Test whether p 1 greater than p 2 . The sample data are x 1 equals 124 ​, n 1 equals 244 ​, x 2 equals 142 ​, and n 2 equals 311

Q: An article in a journal reports that​ 31% of American fathers take no responsibility for child care.…

A: Given, Population proportion P=31%=0.31 Sample size of fathers n=235 Number o fathers who did not…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of…

A: Given ,Where 'X' represents the IQ score of the younger child.We have to Find the best predicted…

Q: two-sided significance test for two population proportions is to be performed using the p-value…

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Q: One study claimed that 88% of college students identify themselves as procrastinators. A professor…

A: Given,n=282x=235Population proportion(P)=0.88sample proportion(p^)=xnsample…

Q: In a random sample of males, it was found that 25 write with their left hands and 225 do not. In a…

A: Given that In a random sample of males, it was found that 25 write with their left hands and 225 do…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of…

A: The following information has been given: x¯=102.83 , y¯=100.85 , r=0.881 , p-value…

Q: In a survey, 36% of the respondents stated that they talk to their pets on the telephone. A…

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Q: Let p equal the proportion of drivers who use a seat belt in a state that does not have a mandatory…

A: State the hypotheses. That is, there is no evidence that the true proportion of drivers who wears…

Q: One study claimed that 86 % of college students identify themselves as procrastinators. A professor…

A: Suppose p is the true population proportion of college students, who are procrastinators.

Q: 2. A decade-old study found that the proportion, p, of high school seniors who believed that…

A: Given that,possible chances (x)=165sample size(n)=240success rate ( p )= x/n = 0.6875success…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: The provided regression line is: y⏞=26.39+0.76x

Q: e statistics: x, = 2418, s, = 179, n, = 15 and X2 = 2295, s2 = 55, n2 =9 the null and alternative…

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Q: Thirty GPAs from a randomly selected sample of statistics students at a college are linked below.…

A: The technician in charge of records claimed that the population mean GPA for the whole college is…

Q: A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper…

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Q: One study claimed that 91% of college students identify themselves as procrastinators. A professor…

A:

Q: Suppose a researcher wants to estimate the population proportion of defective light bulbs. He took a…

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Q: Physicians at a clinic gave what they thought were drugs to 900900 patients. Although the doctors…

A: Let p be the population proportion of patients reported an improved condition. The hypothesis that…

Q: Christina, a restaurant manager, would like to make the claim that the average number of customers…

A: Christina reject or fail to reject the null hypothesis is obtained below:From the information, the…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: ​Since the P-value=​0.000 is less than the significance level of 0.05, there is significant relation…

Q: Historically, the percentage of residents of a certain country who support stricter gun control laws…

A: The percentage of residents of a certain country who support stricter gun control laws is 54​%.…

Q: Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the…

A: Given data : x1= 57.0 n1= 140 x2= 50.0 n2= 130

Q: Suppose a researcher wants to estimate the population proportion of defective light bulbs. He took a…

A: From the provided information, Population proportion (p) = 0.07 The hypotheses can be constructed…

Q: Test the claim that the proportion of men who own cats is significantly different than 45% at the…

A: Solution: Let X be number of men owned cats and n be the sample number of men. From the given…

Q: A random sample of n1 = 292 voters registered in the state of California showed that 143 voted in…

A: From the given information, let X1 be the number of registered voters in the state of California…

Q: It is known that 75% of undergraduates at one school say they will get a covid vaccine as soon as…

A:

Q: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of…

A: The regression equation is y^=-6.7+1.09x.

Q: Consider the data below. Three random samples in different cities were selected. Water use per…

A: There are 3 independent samples which are city 1, city 2 and city 3. We have to test whether samples…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: Since the  ​P-value=​0.000, there is a linear relation between x and y.

Q: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of…

A: GivenRegression equation is y=11.54+0.9xr=0.919p-value=0.000

Q: Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements…

A: Given regression equation is y=-6.59+1.06x If x=92 y=?

Q: Find the best predicted value of y given that the older child has an IQ of 100​?

A: Given : y=5.01+0.97x​

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A:

Q: Do cars get better gas mileage on the highway? The table shows the mileage per gallon of cars on…

A: Given, the mileage per gallon of cars on city streets and the mileage per gallon of cars on the…

Q: Test the claim that the proportion of people who own cats is smaller than 70% at the 0.01…

A: Hypothesis  Ho: p=0.70 vs H1: p< 0.70 Given  Alpha= 0.01, pcap= 0.64, n=500

Q: Use the technology display to make a decision to reject or fail to reject the null hypothesis at…

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Q: Assume you are given the following scores from two randomly drawn, independent samples:    X: 5,…

A: There are two independent samples which are X and Y. We have to test whether the populations from…

Q: A computer manufacturer believes that the proportion of hardware malfunctions is different in humid…

A: Given: n1=n2=400x1=44x2=24 Let p1 denote the proportion of machines from humid climate and p2 denote…

Q: Use the given sample data to test the claim that p1 > p2. Use a significance level of 0.01. Sample 1…

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Q: use a significance level of a=0.05 to test the claim that p1=p2 for two populations. Use the given…

A:

Q: the percentage of adults who approve of labor unions has decreased since​ 1936? What are the…

A: Given : Claim :  The percentage of adults who approve of labor unions has decreased since​ 1936.

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: The regression equation formula is given below Y (hat) = a + b (x) From the given information, the…

Q: younger child has an IQ of 95? Use a significance level of 0.05.

A: Given : y' = -1.28 + 1.01x where x represents the IQ score of the younger child.

Q: Assume that you plan to use a significance level of a=0.05 to test the claim that p1=p2.  Use the…

A: The null and alternative hypothesis is, The sample proportions are The pooled proportion or…

Q: Consider the population with the values {2.1, 3.3, 7.6, 8.5), list all possible samples of size n =…

A:

Q: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of…

A: Regression equation Y = 20.49+0.78x

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.