540 f s, 676 announ od one o more a uisitions du ng the yea 2 ces the sa de suff

Question

540 f s, 676 announ od one o more a uisitions du ng the yea 2 ces the sa de sufficient o ence to n dicate that he ue pe centage of al A bus e s ou na vest ation c t e peormance and timing o corporate acqusit ons dsco en d th t in a an om sample of firms that announced one or moro acquisitions during the year 2000 is less han 29%? use = 0.10 to make your decision. ple p What are the hypotheses for this test? A. OB, H0: p:0.29 Ha p0.29 HO:p=0.29 H p 029 He:p#0.29 H0: p>0.29 Ha: p= 0.29 HO: p#0.29 H p 0.29 OE. OF, What is the rejection region? Select the correct choice bolow and sll in the answer box(es) to complete your choice. (Round to two decimal places as needed.) B. Calcu ate the value of the z-statistic for this test z-11 (Round to two dermal paces as needed) What is the concuson of the test? | the null hypothesis because the test statistic | | in the rejection region. Therefore, there is evidence at the 0.10 level of signifcance to indicate that the true percenlage of all firms that announced one or more acquisitens during the year 2000 is less than 29%,

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.29
HA : p < 0.29

Hypothesis test results:

Hence,

Hypotheses for this test: Option A is correct.

Rejection Region: z < -1.28

Conclusion: Reject; is; sufficient

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 676 2540 0.26614173 0.0090034989 -2.6498885 0.004

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