Question

Conduct a test at the alpha equals 0.05 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1 greater than p2. The sample data are x1 = 123​, n 1 = 242​, x2 = 137​, and n2 = 312.

If there is anyway you can explain how to get the answer via Stat Crunch, I would greatly appreciate it.

Answer 1

By hand

a)

The null and alternative hypothesis are define as,

b)

The z-statistic is computed using the formula,

Where,

c)

The P-value is obtained from z distribution table for z = 1.618 for 2 tailed test statistic,

Since, P-value is greater than significance level = 0.05, it is concluded that the null hypothesis is not rejected.

Using StatCrunch

Step 1: Stat > Proportion Stats > Two sample > With Summary

Step 2: Fill the boxes,

sample 1:

# of successes: 123

# of observations: 242

sample 2:

# of successes: 137

# of observations: 312

Perform: select hypothesis test

then click compuute