The gallup poll organization recently reported that from a r

The gallup poll organization recently reported that from a random sample of over 1000 adults this fall, 16% reported being victims of identity theft. Has the rate of identity theft changed from the 2014 rate of 14%? Conduct a hypothesis test with significance level 0.05.

The researchers found a z-score of 1.84. Calculate the p-value from this test.

Solution

Given n = 1000; sample proportion p=0.16 ; P=0.14

Null hypothesis: There is no change in proporation from 2014 . P=0.14

alternate hypothesis: There is change in proporation.

Calculations:

If the Z- score is 1.84, then p-value = 2*P(Z>1.84) = 2*0.032884 = 0.065786