Right tailed, mu.
Left tailed, p.
Double-tailed, o.
Right tailed, p.
Left tailed, mu.
Double-tailed, o.
HO: p = .105
HA: p > .105
Type I error: Determining the true proportion p of births to teenage mothers is greater then .105 when it is not.
Type II error: Determining the true proportion p of births to teenage mothers is not greater then .105 when it is.
HO: mu = $218,600
HA: mu < $218,600
Type I error: Determining the true mean price mu of an existing family home is less than $218,600 when it is not.
Type II error: Determining the true mean price mu of an existing family home is not less than $218,600 when it is.
HO: o = 0.7 psi
HA: o < 0.7 psi
Type I error: Determining the true standard deviation o in the pressure required to open a certain valve is less than 0.7 psi when it is not.
Type II error: Determining the true standard deviation o in the pressure required to open a certain valve is not less than 0.7 psi when it is.
HO: mu = $47.47
HA: mu ≠ $47.47
Type I error: Determining the true mean monthly cell phone bill is different from $47.47 when it isn’t.
Type II error: Determining the true mean monthly cell phone bill is not different from $47.47 when it is.
np(1-p) = 200(.3)(1-.3) = 42 is greater than or equal to 10.
P-value = 0.0104
Reject the Null Hypothesis.
np(1-p) = 150(.55)(1-.55) = 37.13 is greater than or equal to 10.
P-value = 0.2296
Do not reject the Null Hypothesis.
np(1-p) = 500(.9)(1-.9) = 45 is greater than or equal to 10.
P-value = 0.1362
Do not reject the Null Hypothesis.
About 27 out of 100 samples have a proportion greater than or equal to 0.5 than the one obtained if the proportion is truly 0.5. Do not reject the Null Hypothesis because there is not sufficient evidence that p > 0.5.
P-value = 0.2578
Do not reject the Null Hypothesis, there is not sufficient evidence at the α = 0.01 level of significance that p > 0.019.
P-value = 0.1401
Do not reject the Null Hypothesis, there is not sufficient evidence at the α = 0.05 level of significance that p > 0.5 (the majority of adults in the US believe they don’t have enough money in retirement).
P-value = 0.0047
Reject the Null Hypothesis, there is sufficient evidence at the α = 0.05 level of significance that p > 0.56.