Please please help me with all parts, i have one last attempt for it and Im just stucked.. Thank you so much!

Q 1.

UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what their actual majors were. The results for females are shown in the table below. The second column in the table does not add to 100% because of rounding. Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors. (Use a significance level of 0.05.) Major Women - Expected Major Women - Actual Major Art & Humanities 14.0% 670 Biological Sciences 8.4% 410 Business 13.1% 685 Education 13.0% 650 Engineering 2.6% 145 Physical Sciences 2.6% 125 Professional 18.9% 975 Social Sciences 13.0% 605 Technical 0.4% 15 Other 5.8% 300 Undecided 8.0% 420 Part (a) State the null hypothesis. O The actual college majors of graduating females and their expected majors are independent events. The actual college majors of graduating females do not fit the distribution of their expected majors. The distributions of the actual college majors of graduating females and their expected majors are the same. The actual college majors of graduating females and their expected majors are dependent events. The actual college majors of graduating females fit the distribution of their expected majors.State the alternative hypothesis. 0 The actual college majors of graduating females and their expected majors are dependent events. 0 The actual college majors of graduating females do not t the distribution of their expected majors. O The distributions of the actual college majors of graduating females and their expected majors are not the same. 0 The actual college majors of graduating females t the distribution of their expected majors. O The actual college majors of graduating females and their expected majors are independent events. What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) |H State the distribution to use for the test. 0 t\El Part (0 What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. 0 If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. 0 If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. El Part (9) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the pvalue. pvalue pvalue E1 Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = :1 (ii) Decision: 0 reject the null hypothesis 0 do not reject the null hypothesis (iii) Reason for decision: 0 Since a p-value, we reject the null hypothesis. 0 Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: 0 There is sufcient evidence to conclude that the distribution of actual college majors of graduating females do not t the distribution of their expected majors. 0 There is not sufcient evidence to conclude that the distribution of actual college majors of graduating females do not t the distribution of their expected majors. Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 5 106.6 7 119.3 10 137.1 14 157.5 El Part (:1) Decide which variable should be the independent variable and which should be the dependent variable. 0 Independent: height; Dependent: age 0 Independent: age; Dependent: height Part (b) Draw a scatter plot of the data. Height (cm) Height (cm) 150 150 100 100 Age Age 2 4 6 8 10 12 14 2 4 6 8 12 14 O 0 O Age Age 14 12 150 10 100 Height (cm) NA 2 4 6 8 10 12 14 Height (cm) O 60 80 100 120 140 160 O Part (c) Does it appear from inspection that there is a relationship between the variables? Why or why not? Yes, it appears that height decreases as age increases. Yes, it appears that height increases as age increases. No, there is no visible relationship between the variables.Part (d) Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) y = 1 X Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? Yes O No - Part (f) Find the estimated average height for a one-year-old. (Use your equation from part (d). Round your answer to one decimal place.) cm Find the estimated average height for a thirteen-year-old. (Use your equation from part (d). Round your answer to two decimal places.) cm Part (9) Does it appear that a line is the best way to fit the data? Why or why not? O A line is the best way to fit the data because there is only one correct line that will fit a data set. A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive. A line is not the best way to fit the data because it does not touch all the data points. O A line does appear to be the best way to fit the data because the data points follow a positive linear trend.Are there any outliers in the data? 0 Yes, (0, 50.8) is an outlier. 0 Yes, (14, 157.5) is an outlier. 0 Yes, (0, 50.8) and (14, 157.5) are outliers. O No, there are no outliers. Use the least squares line to estimate the average height for a ltythreeyearold man. (Use your equation from part (d). Round your answer to one decimal place.) l_cm Do you think that your answer is reasonable? Why or why not? 0 Yes, because the answer is posit'we. O No, because 53 is outside the domain of the least squares line. What is the slope of the least squares (best-t) line? (Round your answer to three decimal places.) I: Interpret the slope. (Round your answer to three decimal places.) As age increases by one year, the average height by :] centimeters. A graphing calculator is recommended. A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that the table below shows the results of a study. Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. (Let 1 = CNN, 2 = FOX, and 3 = Local.) El Part (a) State the null hypothesis. 0 H0: At least two of the group means [41, [42, [13 are not equal. OHqu1=u2=Ms I3 Part (In) State the alternative hypothesis. 0 HaIF1=I42=143 0 Ha: At least two of the group means I41, [42, [43 are not equal. E] Part (a) Enter an exact number as an integer, fraction, or decimal. df(num) = Enter an exact number as an integer, fraction, or decimal. % s r State the distribution to use for the test. 0 .5" 3: O I." a N O 1" 4. a O 5" a O .2" m 3: What is the test statistic? (Round your answer to two decimal places.) |U What is the p-value? (Round your answer to four decimal places.) :1 Explain what the p-value means for this problem. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. 0 If H0 is true, then there is a chance equal to the pvalue that the value of the test statistic will be equal to or less than the calculated value. 0 If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. Part (h) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. 1/2(p-value) 1/2(p-value) p-value F F 1/2(p-value) 1/2(p-value) p-value F FPart (i) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write appropriate conclusions. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision: Since a > p-value, we reject the null hypothesis. Since a p-value, we do not reject the null hypothesis. Since a