The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A BC 22 46 52 28 24 28 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is independent of variable Q. H: Variable P is not independent of variable Q. O Ho: The column variable is independent of the row variable. H: The column variable is not independent of the row variable. O Ho: Variab P is not independent of Q. Variable P is independent of variable Q. O Ho: The column variable is not independent of the row variable. H: The column variable is independent of the row variable. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable. Reject Ho. We conclude that there is an association between the column variable and the row variable. Do not reject Ho. We cannot conclude that the column and row variables are independent. O Reject Ho. We conclude that the column and row variables are independent.

The following data represent a sample of people's smoking habits and their usage of seat belts while in a car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the researcher's claim at the a = 0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll a. Determine the null and alternative hypotheses. O Ho: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. O Ho: Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. b. Determine the test Statistic. Round to two decimal places. c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. Reject the null hypothesis. O Fail to reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that smoking habits and seat belt usage are related. O…

4 4G I. moodle.unizwa.edu.om a | Quiz3 Time left 0:00:21 Question 3 Answer saved Marked out of 2.00 P Flag question Which one of the following choices describes a problem for which an analysis of variance would be appropriate? O A. Comparing the proportion of successes for three different treatments of anxiety. Each treatment is tried on 100 patients O B. Analyzing the relationship between high school GPA and college GPA O . Analyzing the relationship between gender and opinion about capital punishment (favor or oppose). O D. Comparing the mean birth weights of newborn babies for three different hospitals. O E. None of these Clear my choice Previous page Next page 1 2w-ANOVA(3) Jump to... Quiz navigation 7 +

3.  Can SAT scores predict college performance?  Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation.  A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58   The scatter diagram for the SAT score and GPA is given below:   (a)  Find the sample correlation coefficient r.  Truncate to two decimal places.  What does the value tell you about the data? (b)  Find the equation of the least squares line .  Truncate to four decimal places.  What does the slope mean? (c)  Find the value of the coefficient of determination .  Truncate to two decimal places.  What does this number mean? (d)  What is the predicted GPA if a computer science major got a…

The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Decorated Jar Sherds (Noncooking) Ceremonial Ranking Cooking Jar Sherds Row Total A 89 46 135 89 56 145 74 80 154 Column Total 252 182 434 n USE SALT Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Họ: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are independent. O Ho: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are not independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are not independent. (b) Find the value of the…

The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Ceremonial Ranking Cooking Jar Sherds Decorated Jar Sherds(Noncooking) Row Total A 87 48 135 B 87 58 145 C 74 80 154 Column Total 248 186 434

Here is a link to a data set concerning treatment groups A and B. Before performing a t-test to determine if the two groups are different, researchers must first ascertain if the variance in the two groups is the same using an F test. Indicate whether the hypothesis below is the null or alternate hypothesis for the F test.  The variance in group A is equal to the variance in group B   Calculate the F statistic for this data set and report it in the box below, rounded to two decimal places.   Use the formula =(1-(f.dist(F, df1,df2,true) in Excel to calculate the P value for the F statistic, and report it in the box below. Do not use the rounded value for F when calculating the P value. Use the value in the spreadsheet that has not been rounded.   Based on this p value, would you recommend using a Student's t test or a Welch's t test to determine if the two treatment groups have different means? Enter either Student's or Welch's in the box below.

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Но: HF Ho: UM = µF Ho:PM — pF Ho:рм PF Ho: им — MF Ho:; PF Нi: рм > иF Hi: рм # pF Hi:рм рF Hi: рм < pF Hi:рм # pғ The test is: right-tailed two-tailed left-tailed Based on a sample of 80 men, 25% owned cats Based on a sample of 40 women, 50% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis

Five observations taken for two variables follow. xi 6 11 15 21 27 yi 6 9 5 18 12 a. compute the sample covarinace  b. Compute the sample correlation coefficient. (Round your answer to three decimal places.)

A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. α = 0.10 significance level.   Cardio Weight Machines Free Weights White 80 98 87 Hispanic 99 99 85 Black 65 40 62 Other 42 70 44 The test-statistic for this data =_____  (Please show your answer to three decimal places.) The p-value for this sample =______ (Please show your answer to four decimal places.)