Question

Null and alternative hypotheses for a test are given below. Give the notation ( x-bar for example) for a sample statistic we might record for each simulated sample to create the randomization distribution. H0: p=0.5 vs HA: p not= 0.5

Null and alternative hypotheses for a test are given below. Give the notation ( x-bar for example) for a sample statistic we might record for each simulated sample to create the randomization distribution. H0: p1=p2 vs HA: p1 not= p2

Answer 1

Q.1) The null and the alternative hypotheses are,

H0: p = 0.5 vs. HA: p not= 0.5

Randomization Distribution Simulate many samples assuming the null hypothesis is true.

This is one-proportion z test (two-tailed test)

Notation of sample statistic is:  

Where,

Q.2) The null and the alternative hypotheses are,

H0: p1 = p2 vs.HA: p1 not= p2

This is two-proportions z-test ( two-tailed test)

Notation for sample statistic are:

where,