Clinical Trial Test

Question

(show Work) A clinical trail tests a method designed to increase the probability of conceiving a girl. In the study 354 babies were born and 200 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this method the probability of a baby being a girl is greater than 0.5. use this information to answer the following questions

(a) Which of the following is the hypothesis tests to be conducted

(b) What is the test statistic z=____

(c) what is the p-value

(d) what is the conclusion

(e) does the method appear to be effective?

Question

(show Work) The eruption height and the time interval after eruption of a geyser were measured and are shown below.

Height 120, 135, 130, 160, 140, 130, 150, 135

Interval after 75, 82, 104, 97, 60, 104, 102, 111

(a) Find the value of the linear correlation coefficient r

(b) Find the critical values of r form the table drawing the critical values for the Pearson correlation coefficient using a=0.05. the critical values are.?

(c) Is there sufficient evidence to conclude that there is a linear correlation between the two variables

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