Question

In: Statistics and Probability

IN A SURVEY OF 368 REGISTERED VOTERS, 167 OF THEM WISHED TO SEE MAYOR WAFFLESKATE LOSE...

IN A SURVEY OF 368 REGISTERED VOTERS, 167 OF THEM WISHED TO SEE MAYOR WAFFLESKATE LOSE HER NEXT ELECTION. CONSTRUCT A 90% CONFIDENCE INTERVAL FOR THE PROPORTION OF REGISTERED VOTER WHO WANT TO SEE MAYOR WAFFLESKATE DEFEATED.

Expert Solution

Solution :

Given that,

n = 368

x = 167

Point estimate = sample proportion = = x / n = 167/368=0.454

1 - = 1-0.454 =0.546

At 90% confidence level

= 1 - 90%

= 1 - 0.90 =0.10

/2 = 0.05

Z/2 = Z0.05 = 1.645 ( Using z table )

Margin of error = E Z/2 * $\sqrt$ (( * (1 - )) / n)

= 1.645 * $\sqrt$ ((0.454*0.546) / 368)

E = 0.0427

A 90% confidence interval for population proportion p is ,

- E < p < + E

0.454- 0.0427< p < 0.454+ 0.0427

0.4113< p < 0.4967

The 90% confidence interval for the population proportion p is : 0.4113, 0.4967

orchestra answered 2 years ago

Suppose that a survey of registered voters shows that 58% of people surveyed are in favor...

Suppose that a survey of registered voters shows that 58% of people surveyed are in favor of changing the constitution to eliminate use of the electoral college in presidential elections. Define a success as "a person is in favor of the change". (a) What is p, the probability of success on a single trial? _______ (show 2 decimal places) (b) You decide to conduct a very small survey using 10 people to see whether you get similar results. For your...

In a survey of 1257 registered voters, 79% said that they voted. ?) Find a 99%...

In a survey of 1257 registered voters, 79% said that they voted. ?) Find a 99% confidence interval for the proportion of people that voted. ?) Voting records show that 65% of registered voters, actually voted. Are the survey results consistent with the actual voter turnout?

In a survey of 865 registered voters in Washington, 408 people are in favor of making...

In a survey of 865 registered voters in Washington, 408 people are in favor of making Pi Day an official holiday. 1. Which of the following would be the appropriate format for a confidence interval for the proportion of Washington voters who are in favor of making Pi Day an official holiday? A. a<σ<b B. a<¯x<b C. a<μ<b D. a<s<b E. a<p<b F. a<ˆp< G. a<x<b H. a<n<b 2. Using the format you selected above, find the 95% confidence interval...

In a telephone survey of 800 registered voters, the data are cross classified both by gender...

In a telephone survey of 800 registered voters, the data are cross classified both by gender of respondent and by respondent’s opinion on an environmental bond issue. Bond issue For Against Men 450 150 Women 160 40 We want to know whether there is good evidence that one’s gender influences whether a person is for or against the bond issue. Use the chi-square test to answer this question. State the hypotheses, discuss conditions, perform calculations, and...

1. A researcher conducts a survey of registered voters and divides the population by township before...

1. A researcher conducts a survey of registered voters and divides the population by township before obtaining a sample. This sampling technique is called: Select one: a. Convenience sampling. b. Systematic sampling. c. Cluster sampling. d. Stratified sampling. 2. Suppose you were preparing a presentation on your department's budget expenses for next year. You have seven different budget categories and you wanted to create a graph that best compares the percentages of the total budget for each category. What type...

In a survey of 3450 registered voters who reside in California, 1789 were found to be...

In a survey of 3450 registered voters who reside in California, 1789 were found to be republican. Construct a confidence estimate for the true percentage of republicans among registered voters in California. Use a confidence level of 95%. Show your work. Find the sample size needed to estimate the percentage of republicans among registered voters in California. Use a 0.03 margin of error; use a confidence level of 90% Chips Ahoy wants to preform a study to determine the number...

A Field Poll Survey reported that 53% of registered voters in a state approved of allowing...

A Field Poll Survey reported that 53% of registered voters in a state approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (registered voters in this state), the approval rating was 72%. Six in ten registered voters in this state said that the upcoming Supreme Court's ruling about the constitutionality of a proposition was either very or somewhat important to them. Out of those...

A sample of 500 male registered voters showed that 57% of them voted in the last...

A sample of 500 male registered voters showed that 57% of them voted in the last presidential election. Another sample of 400 female registered voters showed that 55% of them voted in the same election. a. Construct a 97% confidence interval for the difference between the proportions of all male and all female registered voters who voted in the last presidential election. b. Test at the 1% significance level whether the proportion of all male voters who voted in the...

In a sample of 500 registered voters, 314 of them said they support Bruce Wayne for...

In a sample of 500 registered voters, 314 of them said they support Bruce Wayne for the president of the US. Compute a 98% confidence interval for the true percent of support Bruce Wayne has.

A survey is conducted using 2000 registered voters who are asked to choose between candidate A...

A survey is conducted using 2000 registered voters who are asked to choose between candidate A and candidate B. Let p denote the fraction of voters in the population who prefer candidate A and let ˆp denote the fraction of voters who prefer Candidate B. i You are interested in performing the following hypothesis test H0 : p = 0.4 (1) H1 : p 6= 0.4 (2) Determine the size of the test and compute the power of the test...