Question

1. A new Jam prevention device was tried on a group of 230 telecommunication systems.  Forty-five (45) systems were jammed after four minutes. In a control group of 230 systems, 70 were jammed after four minutes. We want to test whether the devices reduce the proportion of Jamming systems.

1. Test if the new prevention devices reduce the proportion of jamming in the system.
2. What are the assumptions needed to run the test in part (a)

( i need the solution written not by hand please )

Answer 1

The hypotheses are

The test statistic

Here the estimated proportions are

and

a)The test statistic

The P-value is

Since , we can reject the null hypothesis.

We are 95% confident the new prevention devices reduce the proportion of jamming in the system.

b)We assume that the test statistic follows normal distribution according to CLT.