Question

*Identify the null and alternative hypotheses for an experiment with one population proportion *Compute the value...

*Identify the null and alternative hypotheses for an experiment with one population proportion

*Compute the value of the test statistic (z-value) for a hypothesis test for proportion

*Determine the p-value for a hypothesis test for proportion

*Make a conclusion and interpret the results for a hypothesis test for proportion using the P-Value Approach

1. In manufacturing processes, it is of interest to know with confidence the proportion of defective parts. Suppose that we want to be reasonably certain that less than 5% of a company’s widgets are defective. To test this, we obtain a random sample of 300 widgets from a large batch. Each of the 300 is tested for defects, and 10 are determined to be defective, based upon the manufacturer’s standards. Using α = 0.01, is this evidence that less than 5% of the company’s widgets are defective? State the hypotheses, check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.

2. In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1472 U.S. adults (selected randomly) during 2010 revealed that 677 had never smoked cigarettes. Using α = 0.05, test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. State the hypotheses, check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.33, and...
A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.33, and uses 0.10 for the level of significance. a. If the calculated value for the associated test statistic equals -1.71, determine the p-VALUE for the test b. If you compare the p-VALUE from Part a to the level of significance, what decision do you make?
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. A simple random sample of 55 adults is obtained from a normally distributed population, and each person’s red blood cell count (in cells per microliter) is measured. The sample mean is 5.26 and the sample standard deviation is 0.54. Use α = .07 to test the claim that the sample is from a population...
Perform a hypothesis for the null and alternative hypotheses: ??:?? =? ??:?? <? The following is...
Perform a hypothesis for the null and alternative hypotheses: ??:?? =? ??:?? <? The following is the sample information. ?̅=?.? ?? =?.? ?=?? ?=?.?? a. (1 point) Calculate the appropriate test statistic, p-value, and give a general conclusion of reject or fail to reject the null hypothesis based on the significance level. Show all work b. (1 point) Now suppose you know ?? = 1.2. Calculate the appropriate test statistic, p-value and give a general conclusion of reject or fail...
Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion...
Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion about the null hypothesis, and final conclusion that addresses the original claim (Don’t just say Reject the null hypothesis or fail to reject the null hypothesis). 3. Test the claim that for the population of female college students, the mean weight is given by μ=132 lb Sample data are summarized as n=20,x ̅=137lb and s=14.2. Use a significance level of α=0.10.
Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion...
Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion about the null hypothesis, and final conclusion that addresses the original claim (Don’t just say Reject the null hypothesis or fail to reject the null hypothesis). 4. Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n=25,x ̅=24.4,and s=9.2. Use a significance level of α=0.05.
A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.79, and...
A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.79, and uses 0.01 for the level of significance. a. If the calculated value for the associated test statistic equals -2.71, determine the p-VALUE for the test: 0.0068 0.0034 0.0272 0.0136
For each problem a) State the null and alternative hypotheses, b) Verify that the requirements that...
For each problem a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of the normal model to test the hypothesis are satisfied, c) Show work for calculating the test statistic, d) Compare the critical value with the test statistic, and e) State the conclusion. 1) The proportion of people who cover their mouth when they sneeze is 0.733. Sue observed 150 randomly selected people sneeze and found that 114 covered their mouth when they...
a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of...
a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of the normal model to test the hypothesis are satisfied, c) Show work for calculating the test statistic, d) Compare the critical value with the test statistic, and e) State the conclusion. The mean annual cost of raising a child (age 2 and under) by husband-wife families in the U.S. is $13,960. In a random sample of husband-wife families in the U.S., the mean annual...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1000 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 980 hours with a standard deviation of 80 hours. If α = 0.05, test the manufacturer's claim.
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A survey of 1025 adults found that 113 of them, or 11%, said they or a household member had been a victim of a computer or internet crime on their home computer in the past year. At the 0.05 level of significance, test the claim that the rate of internet crime victims is less than 12%.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT