A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,893 firms, 759 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 28%? Use a = 0.05 to make your decision. H: p#0.28 H3: p>0.28 O.C. Ho: p#0.28 H: p= 0.28 O D. Ho: p>0.28 H: ps0.28 OF. Ho: p<0.28 H3: p= 0.28 E. Ho: p=0.28 Ha: p<0.28 What is the rejection region? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. z< -1.645 O B. z> O C. z< or z> Calculate the value of the z-statistic for this test. (Round to two decimal places as needed.)

Q: hen creating a 99% CI based on data from one sample the size of n=31, which t value should be used?

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A: Z-score is -0.75

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A:

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A: Given that   x1 = 3.09 x2 = 2.92 σ1 = 0.78σ2 = 0.78 n1 = 107n2 = 222

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A: The given data is, p0=0.35, x= 361, n= 1088p^=xn=3611088=0.3318α=0.05

Q: 3. For a population with µ = 40 and o = 8, what is the z-score corresponding to X = 34?

A:

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A: Givenp^=0.30n=800α=0.10

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A: Given  µ = 40 and σ = 8 , X=34

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A: Population proportion = 0.8 The proportion of licensed drivers older than age 25  = 33/50 = 0.66…

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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.