Question

Suppose that only 40% of the U.S. public supported the general direction of the previous U.S. President’s policies. To determine whether support for the current President is higher than 40%, a major polling organization conducts a poll with a random sample. Of the 500 in the sample, 210 support the current President’s policies. Conduct a hypothesis test to determine if support for the current President’s policies is greater than 40%. Use a 5% significance level to make your decision. Use the applet (at the top of this Checkpoint) to determine the P‐value. Which of the following is an appropriate conclusion based on the results? Group of answer choicesThis poll provides strong evidence that support for the current President’s policies is greater than 40%. This poll suggests that support for the current President’s policies is higher than 40%, but the increase is not statistically significant. From this poll we can conclude that 42% of the U.S. public supports the general direction of the current President’s policies. From this poll we can conclude that 40% of the U.S. public supports the general direction of the current President’s policies.

Answer 1

Answer:

Here claim is that support for the current President is higher than 40%

As null hypothesis have greater than sign, hypothesis here is  vs H0: P= 0.4 VS H1: P> 0.4

Now  -216p=200=0.42

Hence test statistics is  

z = p - p/√pq/n = 0.42-0.4/√0.4 x 0.6/500

= 0.91

P value for this test statistics is  P( z> 0.91) = 0.1814> ∝ = 0.05

As P value is greater than alpha, we fail to reject the null hypothesis

Hence there is no sufficient evidence to support the claim that p>0.4

we can conclude that 40% pool of the U.S. public supports the general direction of the current

Explanation: