A drawer contains black socks and white socks. 80% of the socks are white socks. A number generator simulates randomly selecting 10 socks from the drawer. The number generator is used 10 times and the number of white socks in each trial is shown in the dot plot. Which description is correct about the number generator being fair or not? O The number generator is fair. It picked white socks half of the time. The number generator is not fair. The correct percentage of white socks was not chosen at all. The number generator is fair. It picked the O approximate percentage of white socks most of the time. The number generator is not fair. In three O experiments, it picked white socks 90% of the time. 0 1 2 3 4 5 T 6 7 8 9 10

You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 160 men, and 15% own cats.You sample 60 women, and 20% own cats.Find the test statistic

Suppose that 9% of all athletes in a sport use a banned drug. A test is available that detects 94% of athletes who use the drug. But the test also gives a positive result for 8% of those who do not use the drug. What percent of athletes who test positive for the drug are actually using the drug? Answer: 77.28 %

You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 180 men, and 75% own cats.You sample 100 women, and 60% own cats.Find the test statistic.

Ty In the t eth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 164 houses built in Southern California in the twentieth century and an independent, random sample of 83 new houses built in Southern California. The sample of twentieth century houses contained 56 houses with pools, and the sample of new houses contained 26 houses with pools. Based on this survey, can we conclude, at the 0.10 level of significance, that the proportion p₁ of all Southern California twentieth century houses that were built with pools is greater than the proportion p, of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts…

In 2016 the Better Business Bureau settled 84% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.84, the same as the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(p) (to 2 decimals) (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals)? probability : = c. Suppose you select a sample of 460 complaints involving new car dealers. Show the sampling distribution of p. E(F) (to 2…

A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.   Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other? Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective…

Billy has a bag of 30 marbles. He must choose only 6 marbles to bring for show and tell. What is the size of the sample space in this experiment

As part of a sixth-grade class project the teacher brings to class a jar containing 200 gumballs of two different colors: red and green.  Andy is asked to draw a sample of his own choosing and estimate the number of red gumballs in the jar.  Andy draws a sample of 25 gumballs, of which 8 are red and 17 are green.  Use Andy's sample to estimate the number of red gumballs in the jar. There are approximately Answer red gumballs in the jar.

Shenise is a star player for her​ women's basketball team. She has injured her​ ankle, and it is doubtful that she will be able to play in an upcoming game. If Shenise can​ play, the coach estimates that the team will score 91 points. If Shenise is not able to​ play, the coach estimates that they will score 70 points. The team doctor estimates that there is a 70​% chance Shenise will play. Determine the number of points the team can expect to score.