A researcher would like to know whether there is a consistent, predictable relationship between verbal skills and math skills for high school students. A sample of 200 students is obtained, and each student is given a standardized English test and a standardized math test. Based on the test results, students are classified as high or low for verbal skills and for math skills. The results are summarized in the following frequency distribution: Verbal Skills Math Skills High Low High 59 41 Low 31 69 1. Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Test at the .05 level of significance. 2. Compute the phi-coefficient to measure the strength of the relationship and report and discuss your findings.

A researcher would like to know whether there is a consistent, predictable relationship between verbal skills and math skills for high school students. A sample of 200 students is obtained and each student is given a standardized English test and a standardized math test. Based on the test results, students are classified as high or low for verbal skills and for math skills. The results are summarized in the following frequency distribution:   High verbal skills Low verbal skills High Math skill 50 30 Low Math skill 50 70 Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Test at the .05 level of significance.ii. Compute the phi-coefficient and evaluate the strength of the relationship.

A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other Protestant 96 93 110 Catholic 57 56 97 Jewish 18 23 21 Other 62 75 89

Suppose you are representing the employees at a large corporation during contract negotiations. You have a list of the salaries of all the employees at the corporation (The salaries include the many lower level employees and the few high paid management employees) and you plan to find a measure of center (e.g. mean, median, or mode).a. Which measure or center would you use to represent the employees in an effort to support your claim that the average salary of lower level employees is much lower than the national average (for lower level employees) and thus should be increased?  Mean Mode Median   b. Why is this the better choice?

There is a communication ability test conducted on 50 students. To assess the test, the test results are attached in the following table: 74 98 82 51 81 82 61 60 64 83 69 82 97 51 58 93 58 75 82 70 78 94 97 53 72 88 64 86 100 90 100 80 100 96 78 61 67 78 66 76 87 59 90 74 84 88 60 51 72 74 Based on the above case, make it Frequency Table Rated Frequency Frequency Relative Value Cumulative Frequency Value

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 = smooth-yellow, 2=smooth-green, 3= wrinkled-yellow, and 4 = wrinkled-green. Do the results make sense? 3 1 3 2 2 4 2 1 3 3 3 2 1 3 (a) The mean phenotype code is (Round to the nearest tenth as needed.) (b) The median phenotype code is (Type an integer or a decimal.) (c) Select the correct choice below and fill in any answer boxes within your choice. OA. The mode phenotype code is (Use a comma to separate answers as needed.) OB. There is no mode. (d) The midrange of the phenotype codes is (Type an integer or a decimal.) Do the measures of center make sense? O A. Only the mode makes sense since the data is nominal. O B. All the measures of center make sense since the data is numerical. O C. Only the mean, median, and mode make sense since…

A local park district is planning to build a recreation center. The park district conducted a poll to find out the types of physical activities the local population would be interested in. The poll was based on telephone responses from 1013 randomly selected adults. The table shows the percentages of people who expressed interest in various activities.    Is it reasonable to conclude that 62% expressed interest in either biking or aerobics? A. Yes, because the percentages can always be added in relative frequency tables.   B. No, because the poll is not based on a large-enough number of individuals.   C. Yes, because these categories do not overlap.   D. No, because these categories overlap.   E. No, because the percentages in relative frequencies tables can never be added.

How young is too young to have a cell phone? A group of eighth-grade boys and girls were surveyed and asked if they had a cell phone, with the following results. Cell Phone No Cell Phone Boys 54 46 Girls 57 43 (a) Draw a stacked bar chart to describe the data. I Cell Phone I No Cell Phone 1 Cell Phone I No Cell Phone 1 Cell Phone I No Cell Phone Frequency Frequency Frequency 100 100 100 80 80 80 60 60 60 40 40 40 20 20 20 Gender- Gender- Gender Boys Girls Вoys Girls Воys Girls Cell Phone No Cell Phone Frequency 100 80 60 40 20

The results of a survey of 150 students about the type of movie they prefer are shown in the two-way frequency table. Complete the table. How many boys were surveyed? Preferred Movie Type Gender Comedy Drama Science Fiction Total Girl 23 35 14 72 Boy 31 13 34 78 Total 54 48 48 150 boys were surveyed.

Each of eighty-four middle school students was asked, "What is your favorite subject?" Here are the results: • Among the girls surveyed, 15 chose "Social Studies", 6 chose "Science", 11 chose "English", and 10 chose "Math". • Among the boys surveyed, 16 chose "Social Studies", 5 chose "Science", 12 chose "English", and chose "Math". Construct a two-way frequency table for the data: Girls Boys Social Studies Sclence English Math