Hospital director is told that 25% of the treated patients are uninsured. The di

Question

Hospital director is told that 25% of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is under the expected percentage. A sample of 380 patients found that 81 were uninsured. Perform a proper test at significance level 0.10. Answer clearly all parts, write your answers in the place provided, and show your work or write what calculator procedure you used to get the answer. State the null and alternative hypotheses(use proper symbol rho or mu) H_0: __________ H_a: ___________ Specify if the test is one-tailed or two-tailed, circle proper answer LEFT-TAILED TEST RIGHT-TAILED TEST TWO-TAILED TEST. Find the value of the proper test statistic. Show your computation or clearly state what procedure you have used. ANSWER: __________ Compute the p-value. Explain how you found the answer P-VALUE ___________ Make the decision and explain why this was your conclusion (in words) CONCLUSION ____________ WHY:

Explanation / Answer

Ho: p=0.25

Ha:p<0.25

b) left tailed test

c)p=0.25 ; n=380

hence std error=(p(!-p)/n)1/2 =0.0222

phat=81/380=0.213

test stat z=(X-mean)/std error =(0.213-0.25)/0.0222 =-1.6586

d) p value =0.0486

e)as p value is less then 0.10 level we reject null hypothesis and conclude that % of uninsured patients is under 25%

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