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Testing Claim about a Proportion.
Apply p-value method to evaluate the claim that percent of new small businesses (population proportion)
survived 5 years is less than 40%.
H0 - population proportion p = 0.4
H1 - population proportion p < 0.4
Sample of N=80 new small businesses were checked after 5 years and found that 30 of them survived.
Calculate sample proportion ps
Calculate z-value for the test statistics is case of population proportion:
z =
ps is a sample proportion
p is a population proportion, taken from Ho,
N - sample size.
b) Use attached Table A-2 for Normal Distribution to find p-value.
Â
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c) At the significance level 0.05 make decision: reject or do not reject H0
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