Hi everyone, please could someone tell me which is the null hypothesis in the question below? I find the wording confusing.

"For the case of a known population standard deviation =2, test the

hypothesis that the population mean is larger than 49.15 against the alternative hypothesis that it is equal to 49.15, using a confidence level of 99%"

I am confused because the question refers to the alternative hypothesis being equal to 49.15, while every worked example I have seen shows that it's the null hypothesis that is set to be equal to a specific value. Can the null hypothesis be Ho>49.15 and H1=49.15, or should I ignore the wording in the question and set the null hypothesis to be Ho=49.15?

If the null hypothesis is Ho>49.15 (rather than =49.15), would we still reject it if Z exceeds the critical value?

Thank you in advance for any explanations you may be able to share!

"For the case of a known population standard deviation =2, test the

hypothesis that the population mean is larger than 49.15 against the alternative hypothesis that it is equal to 49.15, using a confidence level of 99%"

I am confused because the question refers to the alternative hypothesis being equal to 49.15, while every worked example I have seen shows that it's the null hypothesis that is set to be equal to a specific value. Can the null hypothesis be Ho>49.15 and H1=49.15, or should I ignore the wording in the question and set the null hypothesis to be Ho=49.15?

If the null hypothesis is Ho>49.15 (rather than =49.15), would we still reject it if Z exceeds the critical value?

Thank you in advance for any explanations you may be able to share!

Original post by beabramble

Hi everyone, please could someone tell me which is the null hypothesis in the question below? I find the wording confusing.

"For the case of a known population standard deviation =2, test the

hypothesis that the population mean is larger than 49.15 against the alternative hypothesis that it is equal to 49.15, using a confidence level of 99%"

I am confused because the question refers to the alternative hypothesis being equal to 49.15, while every worked example I have seen shows that it's the null hypothesis that is set to be equal to a specific value. Can the null hypothesis be Ho>49.15 and H1=49.15, or should I ignore the wording in the question and set the null hypothesis to be Ho=49.15?

If the null hypothesis is Ho>49.15 (rather than =49.15), would we still reject it if Z exceeds the critical value?

Thank you in advance for any explanations you may be able to share!

"For the case of a known population standard deviation =2, test the

hypothesis that the population mean is larger than 49.15 against the alternative hypothesis that it is equal to 49.15, using a confidence level of 99%"

I am confused because the question refers to the alternative hypothesis being equal to 49.15, while every worked example I have seen shows that it's the null hypothesis that is set to be equal to a specific value. Can the null hypothesis be Ho>49.15 and H1=49.15, or should I ignore the wording in the question and set the null hypothesis to be Ho=49.15?

If the null hypothesis is Ho>49.15 (rather than =49.15), would we still reject it if Z exceeds the critical value?

Thank you in advance for any explanations you may be able to share!

where is the question from/do you have the ans? Id agee the null/alternative should be the other way round, Treating it as a z, then sigma/4 =1/2 so the score 1.7 is well away from the 99% boundary, so much so that it sounds wrong.

(edited 4 months ago)

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