The records of a state-owned company indicate that of all vehicles undergoing emissions testing during the previous year, 70% passed on the first test. A random sample of 200 cars tested in the country during the current year reveals that 62% passed the initial test. Does this data suggest that the true proportion for this country is less than the previous countrywide proportion? Test the relevant hypothesis at the 5% level of significance. (a) State the null and alternative hypotheses for the test.  (b) What is the test statistic?  (c) Calculate the value of the test statistic for this test.  (d) Determine the critical region(s) for this test.  (e) State the conclusion of this test. Give a reason for your answer.

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A: Solution: From the given information, the claim is that the population mean is less than 15.

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A: The provided sample means are shown below: Xˉ1=578\bar X_1 = 578 Xˉ2=570\bar X_2 = 570 Also, the…

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Q: Recently, a large academic medical center determined that 8 of 19 employees in a particular position…

A: Solution: Given data X = 8 n =19 Pi = .54 Level Of significance = 0.05

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A: Critical cutoff z-score at α = 0.01Critical z-score for one tailed testz-score at α = 0.01 is ±…

Q: If we have a sample of size 100 with sample mean breaking strength of 1050 pounds from a population…

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Q: When the P - value is equal to the alpha level, the null hypothesis should be accepted.

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Q: Only 20% of registered voters voted in the last election. Will voter participation decline for the…

A: The provided information are:

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Q: Back in April and May of 1985, the Gallup organization conducted a pll percentage of Americans who…

A: p1 = 0.5203 p2 = 0.5497 n1 = 1528 n2 = 1528

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Q: An RA at the University of Baltimore has concluded that the difference between the mean GPA scores…

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A: use the theory of testing of proportion .using Z test

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A:

Q: If we have a sample of size 100 with sample mean breaking strength of 975 pounds from a population…

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Q: The recidivism rate for convicted sex offenders is 9%.  A warden suspects that this percent is…

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Q: a) Choose the appropriate hypotheses such that rejection of H0 will support the conclusion that a…

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A: Solution: Let X be the breaking strength. From the given information, x-bar = 975 pounds, S=200…

Q: At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the…

A: Given,sample size (n)=25sample mean(x)=1922.76standard deviation(s)=350.8991α=0.05

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A: Given: Expected ratios of frequency = 2: 3 : 5 (large: medium: small) Observed counts is shown below…

Q: In a one-sided hypothesis test for the mean, in a random sample of size 10 the t-score of the sample…

A:

Q: The National Institute of Mental Health published an article stating that in any one-year period,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: what is the null and alternative hypothesis?

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Q: Only 20% of registered voters voted in the last election. Will voter participation decline for the…

A: b. The null and alternate hypotheses are as below: H0:p0=0.2H1:p0<0.2 c. Here  p^=58388=0.1495…

Q: years or less was 65%. To test whether this proportion has decreased, 150 students were examined and…

A:

Q: If we have a sample of size 100 from a population of rope with sample mean breaking strength of 960…

A: Type I error is the chance of rejecting the null hypothesis when it is true.

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Q: 3. When you performed null hypothesis tests for two samples using a z-test, what can you conclude…

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Q: In the nursing home study mentioned in the chapter-opening Statistics Today, the researchers found…

A: State the hypotheses.

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A: The value of p0 is 0.026 and the sample size n is 800.

Q: Recently, a large academic medical center determined that 13 of 20 employees in a particular…

A:

Q: A major credit card company is interested in the proportion of individuals who use a competitor’s…

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Q: In a clinical trial, 23 out of 873 patients taking a prescription drug daily complained of flulike…

A: p0  = 0.022 1-p0 = 0.978 n = 873

Q: A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly…

A:

Q: Make 1 real-life problem with a solution in any of the following topics; 4. Preforming hypothesis…

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Q: In a hypothesis test with hypotheses Ho : p 2 0.31 and H1 :p < 0.31, a random sample of size 519…

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.