A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the phrase "see a penny, pick it up, all day long you'll have good luck." The poll found that just one-forth of adults (25%) believe finding and picking up a penny is good luck. Consider a random sample of 15 adults and let x represent the number who believe finding and picking up a penny is good luck. Complete parts a though f below. from person to person and each survey response is independent of each other. O C. Binomial random variables are always obtained through sampling. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The survey does not change from person to person and each survey response is dependent of all the previous responses. O D. Sampling 2000 adults is equivalent to performing a dice-roll type experiment. The survey contains at least three options, so one of the options can be considered a success while the others are failures. The surveý changes from person to person and each survey response is independent of each other. c. Give the value of p for this binomial experiment. p= 0.25 (Round to two decimal places as needed.) d. Find P(x<5). P(x<5) = 0.687 (Round to three decimal places as needed.) e. Find P(x = 6). P(x = 6) = 0.092 (Round to three decimal places as needed.) f. Find P(x>2). Riy 21- O (Round to three decimal places ae needed

a. If a coin is tossed nine ​times, how many different outcomes are​ possible? b. If a four​-sided die is tossed nine ​times, how many different outcomes are​ possible? c. Discuss the differences in your answers to​ (a) and​ (b).

According to research, 55% of millennials (those born between 1981 and 1997) reported using a library or bookmobile within the last year. Suppose that a random sample of 200 millennials is taken. Complete parts a and b below. Since 195 is a. Complete this sentence: We would expect We would expect 110 of the sample to have used a library or bookmobile within the last year, give or take (Round to the nearest integer as needed.) b. Would it be surprising to find that 195 of the sample have used a library or bookmobile within the last year? Why or why not? be surprising. ▼than 2 of the sample to have used a library or bookmobile within the last year, give or take 1. from the it

A report describes a survey of 251 adult Americans. Participants in the survey were asked how often they disinfect their phone and were asked to respond with one of the following categories: more than once a week, once a week, every other, week, every three weeks, or less often than every three weeks. For this group, 9% responded more than once a week, 52% responded once a week, 26% responded every other week, 6% responded every three weeks, and 7% responded less often than every three weeks. Fill in the table below with the relative frequency distributions. How Often? Relative Frequency More than once a week   Once a week   Every other week   Every three weeks   Less often than every three weeks

Pamela, and educational psychologist, is interested in assessing whether there are differences in how college students with different majors might respond to an ethical dilemma. To this end, she performed a study in which undergraduate marketing and finance majors were asked what they would do if they found a $100 bill in a Walton College of Business classroom. Specifically, would they turn in the $100 bill to the Walton College of Business lost and found? Of the 69 marketing majors who were randomly sampled, 52 said yes and of the 131 finance majors who were randomly sampled, 120 said yes (assume alpha equals .05). z-Test: Two Sample for Means t-Test: Two-Sample Assming Equal Variances Marketing Finance Marketing Finance Меan 0.75362 0.91603 Меan 0.75362 0.91603 Known Variance 0.43 0.28 Variance 0.18841 0.07751 Observations 69 131 Observations 69 131 Hypothesized Mean Difference Pooled Variance 0.1156 -1.7753 Hypothesized Mean DifferenCE z P(Z<-z) one-tail z Critical one-tail P(Z<-z)…

An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…

Section 11.2 Question #4 The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case, it was known if the subjected lied or did not​ lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and​ lies?   View the table   Did the Subject Actually​ Lie?     No​ (Did Not​ Lie) Yes​ (Lied)   Polygraph test indicated that the subject lied. 9 48     Polygraph test indicated that the subject did not lie. 30 12       Determine the test statistic.   χ2= _________ (Round to three decimal places as​ needed.)   Determine the​ P-value of the test statistic.   ​P-value= ___________ (Round to four decimal places as​ needed.)

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Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the…

The fractions of colors in a population of squirrels is 0.73 red and 0.27 black.   If two are chosen at random, what are the chances they have the same color? Give two digits past decimal.