Of 1000 randomly selected cases of lung cancer 823 resulted

Of 1000 randomly selected cases of lung cancer, 823 resulted in death. Is there sufficient evidence to say the true proportion of lung cancer deaths is different than 85% at a significance level of 5%.a) Are the normality assumptions satisfied? Explain why.

b) State hypotheses

c) Calculate the test statistic

d) (1 pt.) What is/are the critical value(s)? Provide graph with the critical values.

e) What is your decision?

f) What is the conclusion/interpretation of this decision?

g) Calculate the p-value for this test.

h) Construct a 95% confidence for the true proportion of lung cancer deaths

i) (3 pts.) How many cases are needed to estimate the true value within 1% having confidence of 95%?

Solution