In a Today/CNN/Gallup nationwide telephone poll of 1, 473 randomly selected adul
ID: 3248535 • Letter: I
Question
In a Today/CNN/Gallup nationwide telephone poll of 1, 473 randomly selected adults, 735 said they were pleased with the way the president was dealing with the economy. A presidential consultant claimed that the president has the support of more than half of all American adults. 1. Which exactly is the sample in the above poll? a. All adults nationwide b. The 735 adults who said they were pleased with the way the president was dealing with the economy c. The 1, 473 randomly selected adults polled d. The more than half of all American adults who support the president claimed by the consultant Is the variable of primary interest that is recorded for each individual polled in this study categorical or numerical? What are the appropriate null and alternative hypotheses to test the claim of the presidential consultant? H_0: ______ H_a: _______ Is the test needed to test the claim of the presidential consultant a right-tailed, left-tailed or two-tailed? What is the p-value for testing the claim of the presidential consultant? An instructor believes that students who below 85 on their first test most likely will fail developmental mathematics. In order to determine whether this reasonable, she recorded the following scores on the first test for 10 randomly selected students who failed is she developmental mathematics in the fall semester of 1995. 46 86 75 89 66 69 91 55 85 65 1. Which of the following best describes the distribution of this data? a Bell-shaped b. Right-Skewed c. Left-skewed D. symmetric 2. Based on the 1.5 IQR rule, is the lowest score in the above developmental math test considered an outlier? 3. Suppose the p-value for testing the instructor's hypotheses is equal to 0.024. Then using a level of significance. alpha = 0.02, the conclusion is a. Reject H_0 b. Fail to reject H_0 c. Neither reject nor fail to reject H_0 What does a statistically significant result mean in this study? a. The data provides overwhelming evidence against H_0 and that it is highly unlikely that the observed result happens by chance. b. The data provides insufficient evidence against H_0 and that it is highly unlikely that the observed result happens by chance. c. The data provides overwhelming evidence against H_a and that it highly likely that the observed result happens by chance. d. The data provides insufficient evidence against H_a and that it is highly likely that the observed result happens by chance.Explanation / Answer
Problem-A
Q-1- c-This is because this much individuals are selected in sample
Q-2-Categorical, as answer to question “Pleased with the way president was dealing ewith economy?” have two answers “yes” and “no”.
Q-3
H0:p=0.50
Ha:p>0.5, where p is the true proportion of those who support the statement
Q-4
The test will be right tailed as hypothesis has greater than sign.
Sample proportion phat=735/1473= 0.4990
Test statistic Z=(pha-0.50)/sqrt(0.50*(1-0.50)/n)
=( 0.4990-0.50)/sqrt(0.50*(1-0.50)/1473)
=-0.0768
p-value=P(Z>-0.0768)= 0.5306
As p-value is very large so unable to reject null hypothesis