You and a friend are interested in knowing if two groups have the same proportion of smokers. The first group of n = 500 consist of 490 smokers. The second group of n = 500 has 400 smokers. The overall proportion of smokers in both groups is .89 (89%). You want to know whether the proportions of smokers are the same in the two groups of individuals. Based on a 95% confidence level, after hypothesis testing, what would you tell your friend? Would the null hypothesis reject H0 or fail to reject H0?

A poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the Newsweek poll? Use a 1% level of significance.

A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased.  In the local area there are three main retailers: W-Mart, Tag, and URToy.  For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. Compute the percentage of variance explained by the group differences for these data. Q: Percentage and variance explained = ?

During a basketball game, Tatiana is shooting two free throws. Tatiana makes 91% of their free throws. Assuming that the free throws are independent events, find the percent chance that Tatiana... (Note: Do not round your answers.) is in the groove and makes both free throws. makes the first and then misses the second. misses the first and then makes the second. struggles and misses both of the free throws. What is the sum of these four answers?