Statistical Hypothesis Testing: Null & Alternative Explained

A. State the alternative hypothesis. B. State the null hypothesis. C. Find the appropriate value to use for standard error D. Calculate the test statistic E. Calculate the p-value F. Would you reject or fail to reject the null hypothesis? (Type "reject" or "fail G. Is there enough evidence to conclude more than 50% favor your brand? (An 0.035355339059327 0.565685424949238 0.285803822476666 <<For all part E questions in this practice, if your answer is off a small amount, fail to reject consider whether you have used the correct distribution (normal no Make sure you understand when to use each one. H A : H 0 : H A : p > 0.50 H 0 : p ≤ 0.50 You wish to claim that a majority (more than 50%) of consumers favor your brand over Brand X. Your market testing of 200 consumers finds that 52% of them favor your brand. Answer the questions below. Here are some symbols that you can copy/paste: ≤ ≥ µ σ ≠ Use the 5% signficance level for all problems in this assignment.

l to reject" in the box) nswer "yes" or "no" in the box) , l versus T).

A. State the alternative hypothesis. B. State the null hypothesis. C. Find the appropriate value to use for standard error D. Calculate the test statistic E. Calculate the p-value F. Would you reject or fail to reject the null hypothesis? (Type "reject" or "fail G. Is there enough evidence to conclude the mean weight is not 16.00 ounces? H. Is there a way to draw a conclusion based on the test statistic (part D) alone I. To find the p-value, did you multiply by 2? Subtract from 1? Why? 0.036742346141748 3.2659863237109 0.003396962088651 reject yes H. Yes. A test statistic of 3.27 shows your sample to be more than 3 standard errors away from the null I. Both subtraction from 1 and multiplication by 2 for an alternative hypothesis "not equal to" when the H A : H 0 : H A : µ ≠ 16.0 H 0 : µ = 16.0 Your product is supposed to contain 16.00 ounces of chicken. You have received several complaints from consumers suggesting that some packages contain too little chicken, while some contain too much. You therefore believe that your product does not contain the right amount of chicken, and you wish to test that. Your sample of 24 packages has a mean of 16.12 ounces of chicken, with a standard deviation of 0.18 ounces. Answer the questions below. Here are some symbols that you can copy/paste: ≤ ≥ µ σ ≠

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

l to reject" in the box) ? (Answer "yes" or "no" in the box) e? How? l hypothesis. Reject for sure. (See Critical value method) e test statistic is positive.

A. State the alternative hypothesis. B. State the null hypothesis. C. Find the appropriate value to use for standard error D. Calculate the test statistic E. Calculate the p-value F. Would you reject or fail to reject the null hypothesis? (Type "reject" or "fail G. Is there enough evidence to conclude the average age is less than 40? (Answ 0.522557811793745 -1.53093108923948 0.063953396923135 fail to reject no H A : H 0 : H A : µ < 40 H 0 : µ ≥ 40 Your plant manufactures circuit boards. You are worried that your production process is unusually faulty today. Normally, 8% of circuit boards are faulty. You will sample 15 boards. Find the probabilities described below by placing the appropriate formulas in the green boxes. Your managers have always believed that the users of your product have a mean age of 40 or older. However, you believe that the average age of your users is less than 40. Your sample of 150 customers finds ages distributed with mean 39.2 and standard deviation 6.4. Answer the questions below. Here are some symbols that you can copy/paste: ≤ ≥ µ σ ≠

l to reject" in the box) wer "yes" or "no" in the box)

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

A. State the alternative hypothesis. B. State the null hypothesis. C. Find the appropriate value to use for standard error D. Calculate the test statistic E. Calculate the p-value F. Would you reject or fail to reject the null hypothesis? (Type "reject" or "fail G. Is there enough evidence to conclude the average starting salary is more th H. How would answer E change if the *population* standard deviation was kn 305.686840482943 2.2899252021909 0.012194992532071 reject yes 0.011012826499206 because you can use the normal distribution when population standard deviati H A : H 0 : H A : µ > 75000 H 0 : µ ≤ 75000 The director of a state agency believes that the average starting salary for IT employees in the state is more than $75,000 per year. To test her hypothesis, she has collected a simple random sample of 90 starting IT salaries from across the state and found the sample mean $75,700 with standard deviation $2,900. Answer the questions below. Here are some symbols that you can copy/paste: ≤ ≥ µ σ ≠

l to reject" in the box) han $75,000? (Answer "yes" or "no" in the box) nown to be $2,900? tion is known. This should never be the case in reality though.

A. State the alternative hypothesis. B. State the null hypothesis. C. Find the appropriate value to use for standard error D. Calculate the test statistic E. Calculate the p-value F. Would you reject or fail to reject the null hypothesis? (Type "reject" or "fail G. Is there enough evidence to conclude that the proportion is NOT 0.30? (Ans I. To find the p-value, did you multiply by 2? Subtract from 1? Why? 0.01870828693387 -3.20713490294909 0.001340641117229 reject yes Only multiplication by 2 for an alternative hypothesis "not equal to" when the test statistic is negative. H A : H 0 : H A : p ≠ 0.30 H 0 : p = 0.30 A news report has claimed that 30% of consumers have a negative view of your company, and you want to prove that report to be wrong. In you sample of 600 consumers, 24% have a negative view of your company. Answer the questions below. Here are some symbols that you can copy/paste: ≤ ≥ µ σ ≠

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

l to reject" in the box) swer "yes" or "no" in the box)

Practice for Module 7

Related Documents