SOLUTION: A study conducted last year indicated that adults spent an average of 14 hours on household chores during the weekend. A research group wishes to determine if the average hours spe

Question 750836: A study conducted last year indicated that adults spent an average of 14 hours on household chores during the weekend. A research group wishes to determine if the average hours spent on household chores during the weekend this year is different from the 14 hours of last year. Consequently, the research group selects a random sample of 64 adults and finds the mean hours spent on household chores during the weekend to be 15.05 hours. The population standard deviation is known to be 3.0 hours.

a) Formulate and test the appropriate hypotheses using the p-value approach. What is the p-value of the test? would you reject the null hypotheses at σ =0.01? What would be your conclusion?

b) Would you reject the null hypothesis at σ =0.01? What would be your conclusion?

c) How strong is the evidence against Ho?
show full steps. thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A study conducted last year indicated that adults spent an average of 14 hours on household chores during the weekend. A research group wishes to determine if the average hours spent on household chores during the weekend this year is different from the 14 hours of last year.
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Consequently, the research group selects a random sample of 64 adults and finds the mean hours spent on household chores during the weekend to be 15.05 hours. The population standard deviation is known to be 3.0 hours.
a) Formulate and test the appropriate hypotheses using the p-value approach. What is the p-value of the test? would you reject the null hypotheses at σ =0.01? What would be your conclusion?
Ho: u = 14
Ha: u # 14
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z(15.05) = (15.05-14)/3 = 1.05/(3/sqrt(64)) = 2.8
p-value = 2*P(z > 2.8) = 2* = 0.0051
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b) Would you reject the null hypothesis at σ =0.01? What would be your conclusion?
Since the p-value is less that 1% reject Ho.
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c) How strong is the evidence against Ho?
Not very strong.
Cheers,
Stan H.
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