The manager of Tea for Us has been ordering stock based on the assumption that 40% of her customers prefer black teas. The following hypotheses are given:

H₀: p = 0.40

H₁: p 0.40

She sampled 144 of her customers and found that only 30% of those preferred black teas. At the 0.10 significance level, can the null hypothesis be rejected?

a)State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.)

H0(state: reject or no reject) and H1(state: and accept or reject) if z>________ or z<_______

b)Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic _________

c)What is your decision regarding the null hypothesis?

The null hypothesis is: (state: reject or no reject)