Answer to Question #346132 in Statistics and Probability for minmin

Question

Given the following situations, write A, if it is two tailed, B if one tailed (left tailed), and C if one tailed (right tailed).

6.Determine the degree of relationship between height and weight of a certain person.

7.Comparing the survey results of votes to the actual votes received by a candidate in an election.

8.A government official claims that the traffic violations occurring in the city is not as much as 5 violations a day.

9-10.In a test of hypothesis about a mean, the critical value for 𝛼=005and a two tailed

test is 1.96. The resulting statistic value for the sample data is -1.75.What is the correct decision on the null hypothesis based on the given information?

Answer 1

6 -- C(right-tailed), because we want to determine the degree of relationship, to ascertain if there is any relationship between variables in a right direction.

7 -- A(two-tailed), because we want to compare the survey results of votes to the actual votes. So, we believe that µ is different from the value stated in $H_0$ . Hence, it is two-tailed test.

8 -- B (left-tailed test), because "is not as much as 5 violations " means that we believe that µ is less than value stated in $H_0$ .

9 -10 The rejection region for this two-tailed test is $R=\left\{z:∣z∣>1.96\right\}.$

Since 1.75<1.96, z is not at rejection region.

Thus, $H_0$ should not be rejected.