Question

In: Statistics and Probability

1) The Gallup Poll asked a random sample of 1785 adults whether they attended church or...

1) The Gallup Poll asked a random sample of 1785 adults whether they attended church or synagogue during the past week. Of the respondents, 44% said they did attend. Suppose that 40% of the adult population actually went to church or synagogue last week. Let p^ be the proportion of people in the sample who attended church or synagogue. Find the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church or synagogue last week. Do you have any doubts about the result of this poll?

2) Suppose 47% of all adult women think they do not get enough time to themselves. An opinion poll interviews 1025 randomly selected women and records the sample proportion who feels they don’t get enough time for themselves. If this sample were repeated numerous times, in what range would the middle 95% of the sample results fall? What is the probability the poll gets a sample in which fewer than 45% say they do not get enough time for themselves?

Solutions

Expert Solution


Related Solutions

[20 pts] In a random poll taken in 2008, Gallup asked 1010 national adults whether they...
[20 pts] In a random poll taken in 2008, Gallup asked 1010 national adults whether they were baseball fans. 570 of the sample said they were. Construct a 96% confidence interval to estimate the proportion of national adults who are baseball fans. Use 4 non-zero decimal places in your calculations. a)Za/2 b)Find σp̂ c)Find the margin of error and construct the confidence interval
The Gallup Poll once asked a random sample of 1600 adults “Do you happen to do...
The Gallup Poll once asked a random sample of 1600 adults “Do you happen to do step aerobics?” Suppose that in fact 26% of all Americans do step aerobics. a) What is the mean of the sampling distribution of proportions who do step aerobics? b) What is the standard deviation the sampling distribution of proportions who do step aerobics? c) Justify the distribution: HINT: Check that np and n(1-p) are greater than or equal to 10. d) What is the...
A Gallup poll asked a random sample of 1000 adults nation-wide the following question:: "Are you...
A Gallup poll asked a random sample of 1000 adults nation-wide the following question:: "Are you in favor of the death penalty for a person convicted of murder?" 71% of the people in the sample answered "Yes". 1. A 95% Confidence Interval for the percent of all adults nation-wide in favor of the death penalty is (Hint: Fill in the first blank with the sample % and the second with the margin of error.) ( ) % +/- ( )%...
A Gallup Poll asked a sample of Canadian adults if they thought the law should allow...
A Gallup Poll asked a sample of Canadian adults if they thought the law should allow doctors to end the life of a patient who is in great pain and near death if the patient makes a request in writing. The poll included 255 people in Quebec, 203 of whom agreed that doctor-assisted suicide should be allowed. (a) What is the margin of error for a 95% confidence interval for the proportion of all Quebec adults who would allow doctor-assisted...
A Gallup poll asked a sample of Canadian adults if they thought the law should allow...
A Gallup poll asked a sample of Canadian adults if they thought the law should allow doctors to end the life of a patient who is in great pain and near death if the patient makes a request in writing. The poll included 295 people in Quebec, 230 of whom agreed that doctor-assisted suicide should be allowed. (a) What is the margin of error of the large-sample 99% confidence interval for the proportion of all Quebec adults who would allow...
In 2013, the Gallup Poll asked 1015 American adults whether they believed that people should pay...
In 2013, the Gallup Poll asked 1015 American adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 437 said they supported such a tax. Does the survey provide enough evidence that less than 45% of American adults favor an internet sales tax? Use α = 0.05 level of significance? b) Step 2: Find the test statistic. c) Step 3: P-value OR Critical value(s): Label answer as “P-value” or “CV” and draw...
The Gallup survey company conducted a poll in May 2011. Researchers asked a random sample of...
The Gallup survey company conducted a poll in May 2011. Researchers asked a random sample of about 1000 U.S. adults the following question: “From what you know or have read about raising the debt ceiling, would you want your member of Congress to vote in favor of, that is, for raising the debt ceiling, to vote against raising the debt ceiling, or do you not know enough about this issue to say?” Forty-eight percent of the adults who responded said...
The Gallup survey company conducted a poll in May 2011. Researchers asked a random sample of...
The Gallup survey company conducted a poll in May 2011. Researchers asked a random sample of about 1000 U.S. adults the following question: “From what you know or have read about raising the debt ceiling, would you want your member of Congress to vote in favor of, that is, for raising the debt ceiling, to vote against raising the debt ceiling, or do you not know enough about this issue to say?” Forty-eight percent of the adults who responded said...
Assume a 2015 Gallup Poll asked a national random sample of 515 adult women to state...
Assume a 2015 Gallup Poll asked a national random sample of 515 adult women to state their current weight. Assume the mean weight in the sample was ?¯=155. We will treat these data as an SRS from a normally distributed population with standard deviation ?=33 pounds. Give a 99% confidence interval for the mean weight of adult women based on these data. Enter the upper and lower values of your confidence interval into the spaces provided rounded to two decimal...
A poll conducted in 2012 asked a random sample of 1358 adults in the United States...
A poll conducted in 2012 asked a random sample of 1358 adults in the United States how much confidence they had in banks and other financial institutions. A total of 149 adults said that they had a great deal of confidence. An economist claims that less than 13% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both α=0.10 and α=0.01 levels of significance and the P-value method...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT