In a group of 227 taking an experimental pill, 52 developed nausea. In a group of...

In a group of 227 taking an experimental pill, 52 developed nausea. In a group of 45 taking a placebo, 5 developed nausea. Construct a 95% confidence interval estimate for the difference between the proportion of nausea for those taking the pill and those taking the placebo.

Solutions

Expert Solution

The 95% Confidence Interval for Proportions

For Experimental Pill: = 52/ 227 = 0.2291, 1 - = 0.7709, n₁ = 227,

For the Placebo: = 5/ 45 = 0.1111, 1 - = 0.8889, n₂ = 45,

The Z critical (2 tail) for = 0.05, is 1.96

The Confidence Interval is given by (- ) ME, where

(- ) = 0.2291 – 0.1111 = 0.118

The Lower Limit = 0.118 - 0.1069 = 0.0111

The Upper Limit = 0.118 + 0.1069 = 0.2249

The 95% Confidence Interval is (0.0111 , 0.2249)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The Drug Company developed a new sleeping pill. The drug is called Star and was approved...

The Drug Company developed a new sleeping pill. The drug is called Star and was approved by the FDA in 2016. In 2017 the company began to notice problems with this drug. People who were prescribed Star reported feeling sleepy during the next day and developing a dependence on this drug. The company reacted immediately and stopped selling Star near the end of 2017. In the last six months of 2018, the company was sued by 1,000 people who experienced...

1/ In clinical trials of 3066 patients taking treatment A, 790 reported nausea as a side...

1/ In clinical trials of 3066 patients taking treatment A, 790 reported nausea as a side effect. In clinical trials of 1013 patients taking treatment B, 216 reported nausea as a side effect. Researchers want to know whether the difference in sample proportions is statistically significant. Use the "Randomization test for two proportions" applet in StatCrunch with a seed of 30102. Obtain exactly 3000 runs of the applet. What is the P-value based this randomization? P-value= (Round to four decimal...

A 52-year-old female presents to your office with complaint of heartburn, nausea, and one episode of...

A 52-year-old female presents to your office with complaint of heartburn, nausea, and one episode of vomiting this morning. She reports the pain began two hours after eating and is 5/10 on pain scale with 10 being the worst. She has taken four Tums antiacids and one Pepcid without relief. Since vomiting, she reports her esophagus is “on fire” and is pointing to her midsternal area. She thinks she is getting the flu or COVID, feeling feverish and sweaty, with...

quasi experimental versus experimental research with clear illustration of the meaning of control group

A control group is ____________. A standard against which experimental groups are compared Identical to experimental...

A control group is ____________. A standard against which experimental groups are compared Identical to experimental groups except for one variable A standard with several variables against which an experimental group is compared Both a and b A specific aspect of an object or event that may change over time or change among individuals is a ___________. Control group Experimental group Variable Sampling error The fewer the number of individuals from a population that are chosen at random for an...

Chief Complaint: 52-year-old male with abdominal pain and nausea. History: The patient was woken up by...

Chief Complaint: 52-year-old male with abdominal pain and nausea. History: The patient was woken up by abdominal pain located in his right lower quadrant, in the right groin and radiating into his right testicle. He was transported to the hospital. He reports that his pain is a “10” on a 1 to 10 scale. He is nauseated but has not vomited. The patient is normal weight and otherwise healthy. Upon palpation his abdomen is soft with mild tenderness in the...

How do experimental and control group differ?

How do experimental and control group differ? Explain with the help of an example.

A pharmaceutical company developed a new revolutionary diet pill, “fat buster,” which is believed to greatly...

A pharmaceutical company developed a new revolutionary diet pill, “fat buster,” which is believed to greatly help people with losing weights. They conducted an experimental study to assess its relative effectiveness, comparing it with a currently popular diet pill in the market. A random sample of 28 participants were split into two groups: People in Group A used this company’s “fat buster” and those in Group B used a competing diet pill, “fat killer.” After taking the pills for 6...

A team of psychologists have developed an experimental treatment program for a learning disorder with the...

A team of psychologists have developed an experimental treatment program for a learning disorder with the expectation that the treatment would enable recipients to score higher than before on a test of learning ability. To test the treatment, they randomly select a pool of 30 volunteers who have been diagnosed with the disorder and who have volunteered for the treatment program. Following treatment, the participants are retested on the learning ability test and their scores compared to earlier scores. Complete...

1-way ANOVA test A researcher hypothesized that if people were to use his newly-developed caffeine pill,...

1-way ANOVA test A researcher hypothesized that if people were to use his newly-developed caffeine pill, that they would have more energy and have a better attention span throughout the day, but not feel jittery at night. To test his hypothesis, he gathered 30 participants and randomly assigned them to one of 3 conditions: a placebo condition (0mg) in which they were given a sugar pill, a 50mg condition, or a 100mg condition. Each participant was made to stay awake...

Subjects