Question

In: Statistics and Probability

In May 2018, the Gallup surveyed 1,024 American adults and found that 60 percent believed abortion...

In May 2018, the Gallup surveyed 1,024 American adults and found that 60 percent believed abortion should be legal within the first trimester of pregnancy. In 1996, Gallup asked the same question among 550 adults and found that 64 percent believed abortion should be legal within the first trimester of pregnancy.

a) Find the 95 percent confidence interval of the population proportion of adult Americans that support legal abortion within the first trimester of pregnancy in 2018.
b) Using ? = 0.01, derive and evaluate the rejection rule where the null hypothesis is that attitudes towards abortion have not changed from 1996 to 2018 against a two-sided alternative.

Solutions

Expert Solution


Related Solutions

In the first week of November, 2005, the Gallup Organization surveyed 1000 American adults and found...
In the first week of November, 2005, the Gallup Organization surveyed 1000 American adults and found that 220 of them had smoked at least one cigarette in the past week.  In 1990 Gallup also asked 1000 American adults the same question in the first week of November and determined that 270 had smoked at least one cigarette in the previous week.  Is there significant evidence the proportion of American adults who smoked at least one cigarette in the previous week was less...
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...
Adults surveyed = 1,200 percent of those who approved of the workers = 60% 1. Construct...
Adults surveyed = 1,200 percent of those who approved of the workers = 60% 1. Construct a 95% confidence interval for the population proportion of New York residents who disapproved of the Workers. Also calculate the margin of error? 2. Now construct a 99% confidence interval for the above scenario. Describe the differences that you see between the confidence interval you calculated in Part (1) and this one. 3. Show the implications of the differences between these 2 confidence intervals  
In May 2004, a Gallup Poll of adults’ attitudes toward Health Maintenance Organization (HMOs) found that...
In May 2004, a Gallup Poll of adults’ attitudes toward Health Maintenance Organization (HMOs) found that 41% of adults had little or no confidence in HMOs, 38% had some confidence, 17% had a great deal or quite a lot of confidence, and 4% had no opinion (USA TODAY, June 22, 2004). Let us denote these outcomes as L, S, G, and N, respectively. A recent random sample of 500 adults yielded the frequency distribution given in the following table.   Response...
1. In May 2004, a Gallup Poll of adults’ attitudes toward Health Maintenance Organizations (HMOs) found...
1. In May 2004, a Gallup Poll of adults’ attitudes toward Health Maintenance Organizations (HMOs) found that 40% of adults had little or no confidence in HMOs, 39% had some confidence, 18% had a great deal of confidence, and 3% had no opinion (USA Today, June 22, 2004). The letters L, S, G, and N will be used to denote these percentages. A recent random sample of 500 adults gave the following distribution of responses.    L         S    ...
In a recent Gallup poll, 507 adults aged 18 and older were surveyed and 269 said...
In a recent Gallup poll, 507 adults aged 18 and older were surveyed and 269 said they believed they would not have enough money to live comfortably in retirement. Use a 0.01 significance level to test the claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 60%. The test statistic is?: ["-2.73", "-3.19", "-3.55", "-4.21", "-1.61"]            The p-value is?: ["0.0002", "0.0024", "0.0032", "0.0007", "0.0001"]            Based on...
In a recent Gallup poll, 507 adults age 18 and older were surveyed and 269 said...
In a recent Gallup poll, 507 adults age 18 and older were surveyed and 269 said they believed they would not have enough money to live comfortably in retirement. Use a 0.01 significance level to test the claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 60%. The test statistic is:                             [ Select ]             ...
According to a Gallup poll, 11.55% of American adults have diabetes. A researcher wonders if the...
According to a Gallup poll, 11.55% of American adults have diabetes. A researcher wonders if the rate in her area is higher than the national rate. She surveys 150 adults in her area and finds that 21 of them have diabetes. 1) If the region had the same rate of diabetes as the rest of the country, how many would we expect to have diabetes? 2) Suppose you are testing the hypothesis that the diabetes rate in this area differs...
In a sample of 2000 American adults, 500 said they believed in astrology. What is the...
In a sample of 2000 American adults, 500 said they believed in astrology. What is the point estimate of the corresponding population proportion? Make a 90% confidence interval for the population proportion.
Greatest president ~ A Gallup Poll of 1800 American adults in February 2009 asked the following...
Greatest president ~ A Gallup Poll of 1800 American adults in February 2009 asked the following question. "Which of the following presidents would you regard as the greatest: Washington, Franklin Roosevelt, Lincoln, Kennedy, or Reagan?" The order of the presidents was rotated to avoid bias. Based on the sample, a 95% confidence interval for the actual proportion American adults who choose Lincoln as the greatest is given by (0.1122, 0.2211).Which of the following statements are true? Select all the that...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT