Question A survey regarding the attendance of religious services in the US, asked Do you attend a church, mosque, or temple at least once every week and 23 of the randomly sampled Americans said yes The survey reported that the 95 confidence interval was 0 23 0 04, or between 19 to 27 For each interpretation below, indicate if the interpretation is correct or incorrect and why In the survey sample, somewhere between 19 to 27 of the sample respondents reported attending a church, mosque, or temple at least once every week We can be 95 confident that between 19 to 27 of all Americans in the US attend a church, mosque, or temple at least once every week We can be 95 confident that 23 of all Americans in the US attend a church, mosque, or temple at least once each every week We know that somewhere between 19 to 27 of all Americans in the US attend a church, mosque, or temple at least once every week 95 of all Americans in the US attend a church, mosque, or temple at least once each every week If we took repeated random samples of the same size and calculated a 95 confidence interval for each sample, we expect 95 of the calculated confidence intervals to capture the true proportion of all Americans in the US that attend a church, mosque, or temple at least once each every week

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jun 23, 2024

Question: A survey regarding the attendance of religious services in the US, asked: Do you attend a church, mosque, or temple at least once every

Question: A survey regarding the attendance of religious services in the US, asked: "Do you attend a church, mosque, or temple at least once every week?" and 23% of the randomly sampled Americans said yes. The survey reported that the 95% confidence interval was 0.23 0.04, or between 19% to 27%.

For each interpretation below, indicate if the interpretation is correct or incorrect and why.

In the survey sample, somewhere between 19% to 27% of the sample respondents reported attending a church, mosque, or temple at least once every week.
We can be 95% confident that between 19% to 27% of all Americans in the US attend a church, mosque, or temple at least once every week.
We can be 95% confident that 23% of all Americans in the US attend a church, mosque, or temple at least once each every week.
We know that somewhere between 19% to 27% of all Americans in the US attend a church, mosque, or temple at least once every week.
95% of all Americans in the US attend a church, mosque, or temple at least once each every week.
If we took repeated random samples of the same size and calculated a 95% confidence interval for each sample, we expect 95% of the calculated confidence intervals to capture the true proportion of all Americans in the US that attend a church, mosque, or temple at least once each every week.