Question

What is the p -value when the population proportion of successes is 50% , the sample size is 65 , and the number of successes in the sample is 30 if we believe that the population proportion of successes is less than 50% ?

1. -1.382

2.-0.620

3. 0.268

4. None of the above

Answer 1

Given :-

n=65

x=30

P^ = (x/n)

Test Hypothesis :

H0 : p=0.50

Ha : p<0.50

p-value = 0.268

Answer : Third option is correct.

Here using ti-83 calculator.