Some brands of soda have a bottle cap with a code redeemable for free music downloads. The soda company claims that 1 in 5 bottles of soda is a winner. However based on their experience redeeming codes, a group of students is skeptical of this claim, and believes that fewer than 1 in 5 caps is a winner. A group of students bought 65 bottles of soda to investigate the company’s claim. The students found a total of 11 bottle caps were winners. Suppose it is reasonable to assume that the 65 bottles purchased by the students are a random sample of all the bottles of soda.    Based on this sample is there support for the students’ belief that the proportion of winners is less than 1 in 5? Provide statistical evidence to support your answer.   If the conclusion you made in part a. is incorrect, what type of error was made?   Interpret the p-value from part a. in context.

Solve.

A technology store holds a contest to attract shoppers. works: An ace and four other cards are shuffled and placed face down on a table. The customer gets to turn over cards one at a time, looking for the ace. The person wins $100 of store credit if the ace is the first card, $50 if it is the second card, and $20, $10, or $5 if it is the third, fourth, or last card chosen. What is the average dollar amount of store credit given away in the contest? Estimate with a simulation of 10 trials. Once an hour, someone at checkout is chosen at random to play in the contest Here's how it 67819 00354 91439 91073 49258 15992 41277 75111 67496 68430 09875 08990 27656 15871 23637 00952 97818 64234 50199 05715

The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller  than the proportion of households from B. In order to test this, the  manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.

When taking a 6 question multiple choice test, where each question has 5 possible answers, it would be unusual to get ____ or more questions correct by guessing alone.Give your answer in the box above as a whole number.

A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?

A bowl contains 25 balls, 10 of them are blue, 15 of them are black. You select a ball at random without looking. How many balls should you select to be sure of having at least 4 balls of the same color? Answer:

In a series of studies, Sebastian Deri and his colleagues (2017) asked multiple groups about the number of friend groups they had and how often they attended different social events. They then asked participants how they thought their own numbers compared to other people's: Did participants see themselves as less social, the same as, or more social than others? In the first study, the researchers reported that: "Three hundred four participants from Amazon's Mechanical Turk (150 women; Mage = 37.1; 78% White, 10% Black, and 6% Asian) completed a survey in exchange for modest payment" (p. 860). What do the researchers mean by "Amazon's Mechanical Turk" with respect to their sample of participants? O A. An archival data set that already exists and from which researchers can use data O B. An online tool that researchers can use to recruit people to participate in research in exchange for a small payment O C. An e-book sold by Amazon that includes contact information for possible…

In a drawing organized at the office, Monique purchased 10 of the100 tickets sold. If there are four prizes to be won, what is theprobability that she will win at least one prize?