SOLUTION: Research in the gaming industry showed that 10% of all slot machines in the United States stop working each year. Short's Game Arcade has 60 slot machines and only 3 failed last ye
Algebra.Com
Question 1054051: Research in the gaming industry showed that 10% of all slot machines in the United States stop working each year. Short's Game Arcade has 60 slot machines and only 3 failed last year. Use the five-step hypothesis-testing procedure at the 0.05 significance level to test whether this data contradicts the research report.
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)
H0: π =
H1: π ≠
(b)
State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)
H0 is rejected if z is not between
and
.
(c-1)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
z value is
(c-2) What is your decision regarding H0?
Reject
Do not reject
(d) Determine the p-value. (Round your answer to 4 decimal places.)
p-value
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
0.05 significance level
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)
sample proportion = p-hat = 3/60 = 1/20 = .05
Ho: p = .10
Ha: p ≠ .10
(b)
State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)
H0 is rejected if z is not between -1.96 and 1.96
|
(c-1)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
test stat:: z(0.05) = (0.05-0.1)/sqrt[0.1*0.9/60] = -.05/.0387 = -1.291
|
(c-2) What is your decision regarding H0? -1.291 > -1.96 Do not Reject
|
(d) Determine the p-value. (Round your answer to 4 decimal places.)
p-value = InvNorm(-1.291) = .0984
RELATED QUESTIONS
Research in the gaming industry showed that 10% of all slot machines in the United States (answered by stanbon)
Slot machines are now video games, with outcomes determined by random number generators.... (answered by Boreal)
In the 2012–2013 school year, approximately 820,000 foreign students studied in the... (answered by ikleyn)
how many gallons of gasoline do cars use each year in the united states?
(answered by Alan3354)
THIS IS DUE TODAY PLEASE HELP !!!!
In a recent year, wind machines in the United States... (answered by JulietG)
In a recent year, wind machines in the United States generated 16.6 billion... (answered by JulietG)
In the United states 154,000,000 tons of garbage are produced annually. On an average,... (answered by josmiceli)
Slot machines are now video games, with winning determined by electronic random number... (answered by Boreal)
At year end, Ted's Company balance sheet showed total assets of $60 million, total... (answered by Mathtut)