Question

Question 19 4 pts A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question regarding a dating problem. If 43 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the hypothesis of no difference in the proportions. Use a -0.02. Identify the null hypothesis and alternative hypothesis. OH:P, = P2 H :IP, P2 Ho: P1P2 H/:P, = P2 Ho: P = P2 H]:P +P2 OH:P= P2 H :P, P2

did i get this correct?

Answer 1

Yes are right.

Let $P_{1}$ be the population proportion of students who turned to their mother for financial help.

And $P_{2}$ be the population proportion of students who turned to their mother for dating problem.

We have to test the hypothesis of no difference in the population proportions.

We know that null hypothesis is the hypothesis of no difference

Therefore

Since difference can be negative or positive alternative hypothesis should be two tailed hence

$H_{1}: P_{1}\neq P_{2}$