Final answer:
The political pollster's sample size is adequate, the sample proportion is clearly stated, and the conditions of np and n(1-p) greater than 5 are met, allowing for a one-sample z interval to estimate the population proportion with a specified level of confidence.
Step-by-step explanation:
The poll conducted by a political pollster meets several important conditions necessary for constructing a confidence interval for a population proportion. To begin with, the sample size is large enough. The pollster has a random sample of 150 voters from a population of more than 2,000, which helps to ensure that the sample is representative of the larger population. Secondly, the sample proportion of those planning to vote for the incumbent candidate is 60%, which is clearly stated. When constructing a one-sample z interval for a proportion, the sample size must be large enough such that both np and n(1-p) are greater than 5. Here, 150 x 0.60 = 90 and 150 x 0.40 = 60, both of which are greater than 5, satisfying this condition.
Since the randomly selected voters plan to vote for the incumbent candidate and the number of successes and failures are both greater than 5, the sample meets the requirements to approximate the distribution of the sample proportion to the normal distribution, thereby allowing the use of a z interval for estimation. The sample is assumed to be random and representative of the voting population, which is another crucial aspect for the validity of the polling results. Based on this information, we can infer that the pollster's sample meets the conditions needed to construct the confidence interval for the population proportion with a degree of certainty.