In three samples of 50 lines each from Shakespeare's "Romeo and Julliet" (an early play), the following numbers of weak endings were observed; 7, 9, 10. In three similar samples from "Cymbeline" (late), the number of weak endings were 15, 11, 12. Discuss the suggestion that Shakespeare's prosody, as judged by the number of weak endings, changed with advancing years.
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- A random semple of n,= 144 people ages 16 to 19 were taken from the kland of Dahu, Hawall, und B were found to be high school dropouts. Another random sample ef n,-131 people ages 16 to 19 were taken frem Sweeteater County, wyomng, and 11 were found to be hgh sdool dropouts. Do theme data Indicate that the population proportion of high school dropouts on Oahu is different (ether way) from that of Sweetwwater County? Use a 1% level of stgniticance. (a) what is the level of ugniicance? State the nul and altemate hypotheses O Hi P, = Pai H: P, P2 (b) what samping distribution will you use? What assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The standard normal. we assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is suffidently laroe. what is the value of the sample test statastic? (Test the difference p,…A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For Section1 of the course, homework is assigned, collected and graded each week. In Section2, students are not required to turn in homework. At the end of the semester, the students are given the same final exam. In Section1, the numbers of students getting each grade are: 16 students got A, 22 students got B, 8 students got C, and 4 students got D. In Section2, the numbers of students getting each grade are: 8 students got A, 18 students got B, 18 students got C, and 6 students got D. Is there an association between assigning homework and exam grade? Test at the alpha = 0.05 level. a. We reject the null hypothesis with two-tailed critical values; there is an association between assigning homework and exam grade. b. We reject the null hypothesis with one-tailed critical value; there is an association between assigning homework and exam…1) If the data is IQ test scores, an individual with a negative z-score what IQ level would he have? 2
- An experiment investigated the effect of length and repetition of TV ads on students choosing to eat at Del Taco. All 60 students watched a 40-minute television program that included ads for Del Taco. Some students saw a 30-second commerical; others a 90-second commerical. The same commerical was shown either 1, 3, or 5 times during the program. After the viewing, each student was asked to rate their craving for Del Taco on a scale of 0 to 10. What are the subjects of this experiment?A. 60 studentsB. effect of length and repetion of TV adsC. 40-minute television programD. craving for Del Taco on a scale of 0 to 10E. 1, 3, or 5 commercials during the 40-minute television programAn experiment investigated the effect of length and repetition of TV ads on students choosing to eat at Del Taco. All 60 students watched a 40-minute television program that included ads for Del Taco. Some students saw a 30-second commerical; others a 90-second commerical. The same commerical was shown either 1, 3, or 5 times during the program. After the viewing, each student was asked to rate their craving for Del Taco on a scale of 0 to 10. What is the response variable?A. 1, 3, or 5 commercials during the 40-minute television programB. craving for Del Taco on a scale of 0 to 10C. 60 studentsD. 30-second and 90-second commericialsE. 40-minute television programSuppose you are the manager of two beachfront hotels : The Palms and Golden Sands. You'd like to know if there is a difference in guest satisfaction between the two hotels. To investigate this, you conduct a survey and ask guests upon departure if they are likely to return to the hotel in the future. For The Palms, 163 out of 227 guests who were surveyed responded " yes ". For Golden Sands, 154 out of 262 guests responded "yes ". Answer the following questions. Round any numbers in your final answers to 2 decimals. 1) Calculate a 95 % confidence interval for the difference in satisfaction rates between The Palms and Golden Sands (Show work) 2) Use the critical value approach to test, at a 1% significance level, whether or not the guest satisfaction rates are different between the two hotels. What do you conclude ? (In your answer, show the steps involved with testing) 3) What is the p-value of your test in part 2?
- Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."We discuss how to test for an association between two categorical variables in Section 6.8. A marine research team records the number of fish from 3 species that they find at different depth categories in the ocean. They are interested in assessing whether or not there is a relationship between the depth category (close to surface, mid-level, ocean floor) and the fish species found (species A, species B, species C). A two-way table showing the classification of a sample of 150 observations is given below. If the variables for the ocean depth category and the species are independent, how would you calculate the expected number of fish that are at the mid-level and from species C? Expected number =7) Students in a class were divided in two batches of 10. One batch was given a quiz in the morning before their lectures and the same quiz was given to the other batch in the afternoon after their lectures. The quiz scores out of 10 are given below. Morning Batch Afternoon Batch Scores Scores 658.5 7 9 55 2.5 | 10| 10| 4.5 |5.5 9.5 6.5 10 8.5 7 8 Use the run test to determine whether the time of the quiz has an effect on the scores. 3
- 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…A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. A button hyperlink to the SALT program that reads: Use SALT. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using ? = 0.05. (Use pgirls − pboys.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Reject H0. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who…