QUIZ
Hypothesis Tests for p
The ACME consumer product testing company stated that 15% of all refrigerators made by LG need to have repairs in their first year of use. The Consumers’ Reports wants to verify this statement. They take a survey of 800 purchasers of LG refrigerators and find that 96 had to have their refrigerators repaired in the first year.
1. Complete the hypothesis test to answer the question: Do the above data provide sufficient evidence (at a 5% level of significance) that ACME’s statement is incorrect?
a. State appropriate null and alternative hypotheses.
H0: ____________________ HA: ____________________
b. Give the point estimate (the sample proportion) for the proportion of LG refrigerators that needed repairs in the first year.
[pic] = __________
c. Compute (‘by hand’) the value of the test statistic, z
z = __________
d. find the P-value using the normalcdf
calculator input: normalcdf(_________________________________________)
P-value = ________________
e. (Reject H0/Fail to reject H0) _____________________
f. Write a properly worded and meaningful conclusion. (Use complete sentences please and recall that this must be an answer to the question at hand and not just about null or alternative hypotheses.)
2. Use your calculator (STAT/TESTS/5:1-PropZTest…) to check the above answer.
input: p0: __________, x: __________, n: __________, prop: _____ p0
Unrounded P-value result from your calculator: ____________________________
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