Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting​ for, either North High School or South High School. From the results of his​ survey, Eric obtained the following​ 95% confidence interval for the proportion of all adults in the city rooting for North​ High, (0.52,0.68). Interpret this confidence interval. A.We are​ 95% sure that between​ 52% and​ 68% of all adults in this city will root for North High School. B.We are​ 95% sure that between​ 52% and​ 68% of adults in this sample will root for North High School. C.There's a​ 95% chance that between​ 52% and​ 98% of all adults in this city will root for North High School. D.Between​ 52% and​ 68% of adults in this city will root for North High School​ 95% of the time.

in a town in nj we take a random sample of 100 residents. It turns out that 25% of the adult residents have degrees higher than high school diploma. Find a 90% confidence interval.

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a.  Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between  and . b.  If many groups of 427 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about  percent will not contain the true population proportion.

An article regarding interracial dating and marriage recently appeared in a newspaper. Of the 1713 randomly selected adults, 308 identified themselves as Latinos, 324 identified themselves as blacks, 255 identified themselves as Asians, and 779 identified themselves as whites. Among Asians, 79% would welcome a white person into their families, 71% would welcome a Latino, and 66% would welcome a black person. Construct the 95% confidence intervals for the three Asian responses. (Round your answers to four decimal places.) welcome a white person         ,     welcome a Latino         ,     welcome a black person         ,

Suppose we have the results of a Gallup survey (simple random sampling) which asks participants for their opinions regarding their attitudes toward technology. Based on 1500 interviews, the Gallup report makes confidence statements about its conclusions. If 64% of those interviewed favored modern technology, we can be 95% confident that the percent of those who favored modern technology is   a 95% of 64%, or 60.8% b 95%  3% c 64% d 64%  3%

Thelma and Louise are each attempting to estimate the proportion of adults who enjoy listening to country music. They each survey a different random sample of adults, and in each sample, the proportion who say they enjoy listening to country music is 0.29. Thelma and Louise each use their sample data to construct a confidence interval. Thelma's interval is from 0.242 to 0.338 and Louise's interval is from 0.237 to 0.323. One of these intervals was computed correctly and the other was not. Which interval must be the correct one? It's impossible to answer this question without knowing the level of confidence used for each interval. It's impossible to answer this question without knowing the sample sizes. O It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval. Thelma's interval must be the correct interval. O Louise's interval must be the correct interval.

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

If two people used the same data and one person made a 90% confidence interval and the other person made a 95% confidence interval for p, which interval would be more narrow?   is it; a. The 90% Confidence interval b. The 95% Confidence interval c. We cannot tell from the information alone.

each item # 7-8. 7. Researchers study the effect of political commercials and the likelihood of people inspired to vote for former President Trump in the 2024 presidential election. They show a political commercial to a random sample 150 people. The researchers found a 90% confidence interval for the proportion of people who were influenced to vote for former President Trump after viewing the political commercial to be (0.56, 0.72). Which is true based on the given confidence interval? Select the two correct answers. e. a. We are 90% confident that the true proportion of people inspired to vote for former President Trump after viewing a political commercial is between 0.56 and 0.72. b. 90% of all 90% confidence intervals constructed in this way will capture the true proportion of people inspired to vote for former President Trump after viewing a political commercial. c. We're 90% sure that the proportion of people in this research sample inspired to vote for Sve former President Trump…

We randomly sample 218 individuals and find that 97 have a college degree. a.)Construct a 95% confidence interval. b.) Describe our interpretation of the confidence level.