Question

. Listed below are blood pressure (mm Hg) taken from same women. Test the claim that no more than 45% of women have blood pressure less then 100. Use α = 0.05

102   101   94     79     99   135    121

105   109   97     96     87  157  108

a) Do you need any assumptions? If yes, make the assumption.

b) State the null and alternative hypotheses:          H₀:     _________      v.s.   H₁ :  __________

c) Name the test and compute the p-value (specify the type of test).  

d) Your decision is:       Reject H₀      or         Fail to reject H₀        (Circle one)

e) Is there sufficient evidence to support the claim? Circle one:           Yes        or                    No     

Answer 1

a)Yes we need to assume that the distribution is Normal

b)Here the claim is that as null Hypothesis always has equal sign and

c)As we have assumed distribution is normal we will use Z-test

Here P value is P(Z>0.910)=0.1814

d)As P-value is > α = 0.05 we fail to reject

e)There is sufficient evidence to support the claim.So answer is Yes