During the summer of 2020, about 68% of San Diego young adults played a game called Animal Crossing. A researcher is interested in the proportion of SD young adults who still play that game. She sampled 150 random young adults and only 87 said that they still play the game. Has the proportion of young adults in San Diego who play Animal Crossing decreased?

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.

several years ago, the Gallup Organization conducted a random survey of 1018 adults aged 18 or older living in the United States and asked if you had $1000 to spend. Do you think investing it in the stock market would be a good idea? The Gallup study concluded that 54% of those surveyed said they thought investing in the stock. Market was a good idea. A statician would like to take a random sample of 200 of those 1018 adults and ask them the same question again to see if people change their minds over time. Based on the Gallup survey a statician specs that 54% of their sample will say that investing $1000  in the stock market would be a good idea give or take 2.1% find the chance as a percentage that institutions random sample 51% or more of them would say that investing $1000 in the stock market is a good idea write your answer as a percentage.

Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 75% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 75% . A poll is commissioned, and 207 out of a random sample of 275 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)     (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round…

In the twentieth 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 may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 140 houses built in Southern California in the twentieth century and an independent, random sample of 81 new houses built in Southern California. The sample of twentieth century houses contained 61 houses with pools, and the sample of new houses contained 24 houses with pools.Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p1 of all Southern California twentieth century houses that were built with pools is greater than the proportion p2of 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…