(a) identity the claim and state H_0 and H_a, (b) determine the critical value,
ID: 3230989 • Letter: #
Question
(a) identity the claim and state H_0 and H_a, (b) determine the critical value, (c) find the test statistic, (d) decide whether to reject or fail to reject-the-nu hypothesis, and (e) interpret the decision in the context of the original claim. A labor organization estimates that the median hourly wage of podiatrists is at least $55.89. In a random sample of 23 podiatrists, 17 are paid less than $55.89 per hour, 5 are paid more than $55.89 per hour, and 1 is paid $55.89 per hour. At alpha = 0.05, can you reject the labor organization's claim?Explanation / Answer
ans:
H0:median >= $55.89(Claim)
Ha:median<$55.89
since alpha=0.05 we have critical value=-1.6449.
Out of 23 sample 17 -ve signs and 5 + ve signs when 0 are ignored the sample size=22 and x=5
z=((5+0.5)-0.5(22))/(sqrt(22)/2)=-2.345.(Test statistic)
since Z is less than the critical value it is in the rejection region.So you should reject the null hypothesis.
Interpretation:there is enough evidence at the 5% level of significance to reject the organization claim that the median of hourly wage is atleast $55.89.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.