Answer :
Final answer:
The critical values for a two-tailed test at the 0.05 significance level are ±1.96. Therefore, for the given sample size and population proportion, the critical values z0 are a) 1.96 and c) -1.96.
Explanation:
The question is asking to determine the critical value (z0) when testing a hypothesis about the population proportion (p ≠ 0.325) given a sample size (n=42). When conducting a two-tailed hypothesis test, the critical values are based on the desired level of significance. Typically, the most common levels of significance are 0.05 or 0.01, corresponding to critical z-values for a two-tailed test of 1.96 and 2.58 respectively. However, without specifying the level of significance, we can consider the 0.05 level as it is the most commonly used. Thus, the correct critical value, z0, for a two-tailed test at the 0.05 level of significance is ±1.96, which can be found in standard z-tables. So the correct answer is a) 1.96 and c) -1.96.
