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Null and Alternative hypothesis for the following cases

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Please state your null and alternative hypothesis for the following cases. Please explain how do you make that decision on which is alternative and which is null.

Remember that it comes to the point that what a researcher would like to test for. For example, when I test to see if a sereal box weighs as it is stated, I am testing as a consumer. The producers will test for different information to cover themselves frome being legally liable, or not to give extra to the consumers.

Also remember please that usually alternative is what you wish to become true and be accepted, on the other hand the null is what you would like to reject.

Q1- Is the population average amount of TV viewing 12 hours?

State the question statistically:
State the opposite statistically:

Select the alternative hypothesis:
State the null hypothesis:

Q2- Is the population average amount of TV viewing different from 12 hours?

State the question statistically:
State the opposite statistically:

Select the alternative hypothesis: Ha:
State the null hypothesis: H0:

Q3- Is the average cost per hat less than or equal to $20?

State the question statistically:
State the opposite statistically:

Select the alternative hypothesis: Ha:
State the null hypothesis: H0:

Q4- Is the average amount spent in the bookstore greater than $25?
State the question statistically:
State the opposite statistically:

Select the alternative hypothesis: Ha:
State the null hypothesis: H0:

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Solution Summary

The solution examines a null and alternative hypothesis.

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Q1- Is the population average amount of TV viewing 12 hours?

State the question statistically: Is the population mean amount of TV viewing 12 hours?
State the opposite statistically: Is the population mean amount of TV viewing NOT 12 hours?

Select the alternative hypothesis: the population mean amount of TV viewing is NOT 12 hours
State the null hypothesis: the population mean amount of TV viewing is 12 hours

Q2- Is the ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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