Researchers claimed that women exercise at the same proportion as men do. To test this claim, a random sample is gathered. Of the 65 women sampled, 42 of them exercised. Of the 75 men sampled, 44 of them exercised. Test the claim with 0.01 level of significance.

In a science fair​ project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left​ hand, and then she asked the therapists to identify the selected hand by placing their hand just under​ Emily's hand without seeing it and without touching it. Among 330 ​trials, the touch therapists were correct 155 times.    Using​ Emily's sample​ results, construct a 95​% confidence interval estimate of the proportion of correct responses made by touch therapists.

Sleep apnea is a disorder in which you have one or more pauses in breathing or shallow breaths while you sleep. In a​ cross-sectional study of 340 adults who suffer from sleep​ apnea, it was found that 170had gum disease.​ Note: In the general​ population, about​ 17.5% of individuals have gum disease(c) Estimate the proportion of individuals who suffer from sleep apnea who have gum disease with 99​% confidence. Interpret your result. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Use ascending order. Round to three decimal places as​ needed.)   A.99​% of the population lies in the interval between _____and______.    B. There is a 99​% chance that the true population proportion of individuals who suffer from sleep apnea who have gum disease is between _______ and _____   C. There is 99​% confidence that the population proportion of individuals who suffer from sleep apnea who have gum disease is between ____ and ____

A random sample of 100 inmates at a maximum-security prison shows that exactly 10 of the respondents had been the victims of violent crime during their incarceration.    Estimate the proportion of victims for the population as a whole assuming a 10% tolerance for error and interpret the result.  Prison guards have suggested that 20% of inmates are victims of violent crime. Is the evidence consistent or inconsistent with this suggestion. Briefly explain.

Out of 500 people sampled, 95 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.Give your answers as decimals, to three places

Construct a 90% confidence interval for the mean when x̅=50 and there are 31 observations. Suppose σ=7. What is the confidence interval?

A national survey of 2500 adult citizens of a nation found that 21% dreaded Valentine's Day. The margin of error for the survey was 4.4 percentage points with 90% confidence. Explain what this means. Which statement below is the best explanation? G O A. There is 90% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. O B. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.166 and 0.254. O C. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.166 and 0.254. O D. There is 85.6% to 94.4% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day.

A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500500 randomly selected people who rode a jet ski, 85%85% wore life vests. Out of 250250 randomly selected boaters, 90.4%90.4% wore life vests. Using a 0.050.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2.   Step 1 of 3 :   State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p1=p2: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2     Step 2 of 3 :   Compute the value of the test statistic. Round your answer to two decimal places. 3) draw a conclusion and form a decision (word it like "we fail to reject the null hypothesis and…

(0.24, 0.56) is a confidence interval for the proportion of people who liked a new soda flavor.  What was the sample proportion for those who did NOT like the new soda flavor? Type the exact answer as a decimal.

A large number of bags of cement have been manufactured. You sample 10 of the bags and find that they have a mean weight of 91.5 pounds with a standard deviation of 8.8 pounds. Find the 90 % confidence limit for the mean of the weight of all of the cement bags.