In 2000, National data suggested that 26% of all U.S. businesses were owned by w
ID: 3357140 • Letter: I
Question
In 2000, National data suggested that 26% of all U.S. businesses were owned by women. In 2009, a consulting firm surveyed a random sample of 700 U.S. businesses and found that 28% of them were owned by women. Is this evidence of an increase in the percentage of businesses that are owned by women in the U.S? Write your hypothesis on a separate sheet of paper and perform the test. Find the P-value for the test and, based on your P-value, what should be your decision for H_{0} H0. Due to the different methods, round your P-value to 2 decimal places.
A. P-value = 0.11 , Fail to reject H0
B. P-value = 0.04 , Fail to reject H0
C. P-value = 0.04 , Fail to reject H0
D. P-value = 0.04 , Reject H0
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.26
HA : p > 0.26
Hypothesis test results:
Hence,
P - value = 0.11, Fail to reject Ho.
Option A is correct.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 196 700 0.28 0.016578816 1.2063588 0.1138Related Questions
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