Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion at the given level of significance using the given sample statistics. Claim: p = 0.23; α = 0.10; Sample statistics: p = 0.21, n = 200.
Can the normal sampling distribution be used?
Yes, because both np and nq are greater than or equal to 5. Yes, because pq is greater than α = 0.10.
State the null and alternative hypotheses:
Ho: p = 0.23
Ha: p < 0.23
Determine the critical value(s):
The test cannot be performed.
Find the z-test statistic:
The test cannot be performed.
What is the result of the test?
Fail to reject Ho - The data do not provide sufficient evidence to support the claim. The test cannot be performed.