A business journal investigation of the performance and timing of corporate acqu
ID: 3047074 • Letter: A
Question
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,769 firms, 794 announced one or more acquisitions during the year 2000. Does the sampl 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 31%? Use =0 05 to make your decision. What are the hypotheses for this test? OA. Ho:p= 0.31 O C. Ho ps0.31 OE. Ho p> 0.31 Ha: p#0.31 H, p= 0.31 H ps0.31 O B. Ho, p#0.31 Ha: p= 0.31 O D. Ho p 0.31 H p> 0.31 OF. Ho: p 0.31 Ha: p0.31 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.) Calculate the value of the z-statistic for this test. z | (Round to two decimal places as needed.)Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.31
HA : p < 0.31
Hypothesis test results:
Hence,
Hypotheses: Option F is correct.
Rejection Region: z < -1.645
z - statistic = -2.65
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 794 2769 0.28674612 0.0087890901 -2.6457668 0.0041Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.