SOLUTION: A study claims that all adults spend an average of 14hours or more on chores dring a weekend.A reseacher wanted to check if this claim is true.A random sample of 200 adults taken b

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Question 1116361: A study claims that all adults spend an average of 14hours or more on chores dring a weekend.A reseacher wanted to check if this claim is true.A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.65 hours on chores during a weekend.The population standard deviation is known to be 3.0hours.
A.Find the p-value for the hypothesis test with the alternative hypothesis that all adults spend more than 14hours on chores during a weekend.will you reject the null hypothesis at alpha=0.01?
B.Test the hypothesis of part a using the critical-value approach and aplha=0.01?
Answer by stanbon(75887) (Show Source):
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A study claims that all adults spend an average of 14 hours or more on chores during a weekend.A researcher wanted to check if this claim is true.
A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.65 hours on chores during a weekend.
The population standard deviation is known to be 3.0hours.

A.Find the p-value for the hypothesis test with the alternative hypothesis that all adults spend more than 14hours on chores during a weekend.will you reject the null hypothesis at alpha=0.01?
Ho: u <= 14
Ha: u > 14
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test stat:: z(14.65) = (14.65-14)/3 = 0.2167
z-value = p(z > 0.2167) = normal(0.2167,100) = 0.4142
Since the p-value is greater than 1%, fail to reject Ho
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B.Test the hypothesis of part a using the critical-value approach and alpha=0.01?
The critical values are z >= -invNorm(0.01) = 2.3263
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Cheers,
Stan H.