Question

The proportion of voters who voted for Donald trump in the last Presidential election was .46....

The proportion of voters who voted for Donald trump in the last Presidential election was .46. Suppose we obtain a random sample of n =400 voters who voted in the last Presidential election, and phat is the proportion of voters in the sample who voted for Trump. What is the standard deviation of the sampling distribution of phat for a sample of size 400 ?

  

      

a.

3.16

b.

9.97

c.

.498

d.

.0249

Homework Answers

Answer #1

Given that, the proportion of the population that voted for Trump in the last presidential election is 0.46.

So, here our p=0.46.

Now, we obtain a random sample of n=400 voters, who voted in the last election, and phat is the proportion of voters in this sample, who voted for Trump.

Now, to find the standard deviation of the sampling distribution of phat.

Now, we know that the sampling distribution of phat will have a mean equal to p, and standard deviation equal to

sqrt((p*(1-p)/n).

So, the required standard deviation is

=sqrt(0.46*(1-0.46)/400)

=sqrt(0.46*0.54/400)

=sqrt(0.2484/400)

=sqrt(0.000621)

=0.0249.

So, the standard deviation of the sampling distribution of phat is (d) 0.0249.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose it is desired to compare the proportion of male and female students who voted in...
Suppose it is desired to compare the proportion of male and female students who voted in the last presidential election. We decide to randomly and independently sample 1000 male and 1000 female students and ask if they voted or not. A printout of the results is shown below. Hypothesis Test - Two Proportions Sample Size Successes Proportion Males 1000 475 0.47500 Females 1000 525 0.52500 Difference -0.05000 Null Hypothesis: p1 = p2 Alternative Hyp: p1 ≠ p2 SE (difference) 0.02236...
A) According to the results of the 2004 presidential election, 50% of New Yorkers voted for...
A) According to the results of the 2004 presidential election, 50% of New Yorkers voted for Kerry. Imagine the set of all possible random samples of size 36 from all New Yorkers who voted. For each sample of size 36, the value of the sample proportion  is the percentage of the people in the sample that voted for Kerry. What would the mean of all these sample proportions be? Use 1 decimal places, for example, 0.1 B) What would the standard...
HT Proportion: A random sample of 220 individuals who voted in the last election showed that...
HT Proportion: A random sample of 220 individuals who voted in the last election showed that 135 voted for the given amendment. Let be the true proportion of population of voters that voted for the given amendment. Test the claim at the 1% level of significance, that this is two-thirds majority. Determine the p-value to four decimal places.
We are interested in learning about the proportion of students who voted in the last presidential...
We are interested in learning about the proportion of students who voted in the last presidential election. A statistix printout is shown below: Hypothesis Test - One Proportion Sample Size 200 Successes 75 Proportion 0.37500 Null Hypothesis: P = 0.5 Alternative Hyp: P LaTeX: \ne ≠ 0.5 Difference -0.12500 Standard Error 0.03423 Z (uncorrected) - 3.54 P 0.0004 Method 95% Confidence Interval Simple Asymptotic (0.30791, 0.44209) What assumption(s) are needed for this analysis to be valid?
Excluding voters for third‑party candidates, approximately 52% of the voters in Virginia's 2012 presidential election voted...
Excluding voters for third‑party candidates, approximately 52% of the voters in Virginia's 2012 presidential election voted for Barack Obama, with the other 48% voting for Mitt Romney. In modern presidential politics, the vote in Virginia this year was not particularly close. Obama fairly easily won more than 50% of the votes, claiming Virginia's 13 electoral college votes. Use the Statistical Applet: Confidence Intervals for Proportions to simulate what might have happened in 25 pre‑election polls, with each poll including a...
Only 13% of registered voters voted in the last election. Will voter participation change for the...
Only 13% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 306 randomly selected registered voters surveyed, 55 of them will vote in the upcoming election. What can be concluded at the αα = 0.10 level of significance? For this study, what sampling distribution would be used? Select an answer - Student's t distribution binomial distribution uniform distribution standard normal distribution The null and alternative hypotheses would be: H0: H1: The...
suppose that the true proportion of registered voters who favor the republican presidential candidate is 0.4....
suppose that the true proportion of registered voters who favor the republican presidential candidate is 0.4. Find the mean and standard deviation of the sample proportion if the sample size is 45.
Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts...
Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 630 of 840 registered voters from rural Minnesota voted in the 2016 presidential election, while 396 out of 550registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota...
The proportion of eligible voters in the State election who will vote for the incumbent is...
The proportion of eligible voters in the State election who will vote for the incumbent is assumed to be 50%. What is the probability that in a random sample of 400 voters less than 48% say they will vote for the incumbent?
The 2002 GSS asked respondents who they voted for in the 2000 presidential election. Among 524...
The 2002 GSS asked respondents who they voted for in the 2000 presidential election. Among 524 female voters in the sample, 259 voted for Al Gore. Among 421 male voters in the sample, 149 voted for Gore. Is there a statistically significant gender difference in voting behavior? Alpha = 0.001 a) Is this a one-sample test or a two-sample test? b) Is this a one-tailed test or a two-tailed test? c) Which test statistic will you calculate? d) Please compute...