Question

Question 3

A college professor claims the proportion of students that complete a homework assignment is 70%.     To test this claim, a random sample of students are monitored and checked if they completed the home the algebra class.

Assume that the test statistic for this hypothesis test is −1.73.

Since this is a two tailed hypothesis test, assume that the critical values for this hypothesis test are −1.96 and 1.96.

Come to a decision for the hypothesis test and interpret your results with respect to the original claim.

Select the correct answer below:

Reject the null hypothesis.
There is enough evidence to reject the claim that the proportion of students that complete a homework assignment is 70%.

Fail to reject the null hypothesis.
There is not enough evidence to reject the claim that the proportion of students that complete a homework assignment is 70%.

Answer 1

Null hypothesis ,

_Ho: the proportion of students that complete a homework assignment =p=70%=0.70

Alternative hypothesis;

H₁: p0.70

we see that the alternative hypothesis is two tailed or both tailed ,so we will use modulus of critical value and it is equal to 1.96

Now,

since the calculated test statistic (=-1.73) which is less than the tabulated z-value (1.96)at 5% level of significance..so,we will not reject or fail to reject the null hypothesis..

thus ,the second option is correct.