Question

2) In a recent election poll, 57 of 273 registered voters claimed that they would vote for a candidate, Dr. Smith. The doctor will be allowed to participate in a televised debate if the network sponsoring the debate feels fairly certain that Dr. Smith has more than 20% of the vote among the population of registered voters at this time. They perform a hypothesis test using a significance level of 5% and obtain the following results: Results: Z = 0.363 p-value = .3583 Question: Do these data provide good evidence that Dr. Smith has more than 20% of the vote among the population of registered voters at this time? You do not need to address conditions here; they have been met. To obtain full credit, your writing below should: • Present the null and alternative hypotheses they evaluated (in words or symbols) • Clearly demonstrate a decision regarding the null hypothesis based on this p-value • Answer the original question in a clear, concise, complete sentence (or sentences).

Answer 1

Let p denotes the true proportion of the vote among the population of registered voters at this time

To test null hypothesis against alternative hypothesis

The value of the test statistic z= 0.363

and P-value = 0.3583

Since p-value > 0.05, so at 0.05 level of significance we reject H₀ and we can conclude that there is enough evidence to support the claim that more than 20% of the vote among the population of registered voters at this time.