Reference no: EM13742749
The mean weekly unemployment benefit in the US was in 2003. A researcher in Virginia had a theory that the mean weekly unemployment benefit in Virginia was less than the national average. She took a random sample of 35 unemployment recipients in Virginia and found that the sample mean weekly unemployment benefit vow $231 with a sample standard deviation of $80. Use this information to answer questions 1 to 3.
1. State the appropriate hypotheses for this research hypothesis.
a. H0: µ > $238 HA: µ ≤ $23S
b. H0: µ ≥ $238 HA: µ < $238
c. H0: µ ≤ $238 HA: µ > $238
d. H0: µ = $238 HA: µ ≠ $238
e. H0: µ ≠ $238 HA: µ = $238
f. H0: µ < $238 HA: µ ≠ $238
2. Calculate a range for the p-value.
a. p-value < .01
b. .01 < p-value < .02
c. .02 < p-value < .05
d. .05 < p-value < .10
e. .10 < p-value < .20
f. p-value > .20
3. What is the researcher's conclusion?
a. Reject H0.
b. Accept H0.
c. Fail to reject H0.
d. Fail to reject HA.
e. Reject HA.
f. Accept HA.
The population proportion of US workers who belonged to unions in 2005 was 12.5%. Union officials want to know if their efforts to organize in 2006 increased union membership significantly. They took a sample of 400 US workers in 2006 and found that 52 belonged to unions. Use this information to answer questions 4 and 5.
4. What is the appropriate hypothesis test to determine whether union membership increased in 2006?
a. H0: µ > .125 HA: µ ≤ .125
b. H0: µ ≤ .125 HA: µ p > .125
c. H0: µ = .125 HA: 11 µ ≠ .125
d. H0: p ≥ .125 HA: p < .125
e. H0: p ≤ .125 HA: p > .125
f. H0: p = .125 HA: p ≠ .125
5. Calculate the p-value and state your conclusion using α = .05.
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: The mean weekly unemployment benefit in the US was in 2003. A researcher in Virginia had a theory that the mean weekly unemployment benefit in Virginia was less than the national average. What is the researcher's conclusion
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