A random sample of n = 1,000 observations from a binomial population contained 337 successes. You wish to show that
p < 0.35.
Given: H0: p = 0.35 versus Ha: p < 0.35
Solve:
Calculate the appropriate test statistic. (Round your answer to two decimal places.)
z =??
Provide an α = 0.05 rejection region. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z> ??
z<??
Solution :
This is the left tailed test .
The null and alternative hypothesis is
H0 : p = 0.35
Ha : p < 0.35
= 337 / 1000 = 0.337
Test statistic = z
= - P0 / [P0 * (1 - P0 ) / n]
= 0.337 - 0.35 / [(0.35 * 0.65) / 1000]
= -0.86
z > None
z < -1.65
A random sample of n = 1,000 observations from a binomial population contained 337 successes. You...
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