Question

please help me get test statistic for this hypothesis test using technology. preferrably a calculator. thank you!!

In a program designed to help parents stop smoking, 204 patients were given sustained care and 81.9% of them were no longer smoking after one month Us 0.05 significance level to test the claim to's of patients stop smoking when given sustained Identify the ruland alternative hypotheses for this test Choose the correct answer below DAH D03 HD=0 BH 0 H08 CHOD03 HD08 H 08 Identify the best statistic for this typomenis tot The test static for this hypothesis (Round to two decimal places as needed)

Answer 1

Test statistic for a one sample proportion test is given by :

P - PO po(1-po) n

where ,

$\\\hat p= sample \ \ proportion \\ p_0 = hypothesized \ proportion \\ n = sample size$

So test statistic is :

$z = \frac{0.819-0.8}{\sqrt{\frac{0.8(1-0.8)}{204}}} = 0.68$