Question

study of 360 women who lived in certain country found that there was roughly a linear relationship between y= life-length (in years) and x = number of sons the woman had, with a slope estimate of -0.83 (se 0.48). Answer parts a-c. Interpret the sign of the slope. Is the effect of having more boys good, or bad? O A. The positive sign of the slope indicates that as the number of boys increases, the life-length increases, so having more boys is good. O B. The negative sign of the slope indicates that as the number of boys increases, the life-length decreases, so having more boys is bad. O C. The positive sign of the slope indicates that as the number of boys increases, the life-length decreases, O D. The negative sign of the slope indicates that as the number of boys increases, the life-length increases, so having more boys is good. o having more boys is bad. Show all steps of the test of the hypothesis that life-length is independent of the number of sons, for the two-sided altemative hypothesis. Choose the correct assumptions that are made. O A. Assume randomization, linear trend with normal conditional distribution for y and the same standard deviation at different values of x O B. Assume randomization, linear trend with normal conditional distribution for y and different standard deviations at different values of x. O c. Assume randomization, linear trend with uniform conditional distribution for y and the same standard deviation at different values of x Choose the correct null hypothesis (H) and alternative hypothesis (H) Hr The variables are dependent (B0). H: The variables are independent (B 0). H The variables are independent (B 0) O H: The variables are dependent (B 0) What the test statistic t? 1.279 (Round to three decimal places as needed.) Only one of the following answers can be the correct P-value. Which one it? O A. 0.296 O c. 0.042 O B. 0.139 OD. 0.085 Use the P-value and a significance level of 0.05 to form a conclusion. O Reject Ho and conclude that the variables are dependent or associated. Fail to reject H and conclude that the variables could be independent. c. Construct a 95% confidence interval for the population slope. (Round to two decimal places as needed.) Is it plausible that the true slope is 0? O Yes C No

Answer 1

Slope-083 As a decseeares incaeases au seE E8.0- -1- 29 -walne 36o option o.0S ajbet optin failto C I 951 ta,/2 se o.1 (-1.48, ue