Question

5. (10pts) We found that 15 customers from a random sample of 60 would be willing...

5. (10pts) We found that 15 customers from a random sample of 60 would be willing to buy a software upgrade that costs $100. If the upgrade is to be profitable, we will need to sell it to more than 20% of our customers. Do the sample data give good evidence that more than 20% are willing to buy?

(a) Give the null and alternative hypotheses, compute the test statistic and the P-value, and draw the conclusion at the significance level α = 0.05. (5 pts)

(b) Give a 95% CI for the percentage of customers willing to buy. (5pts)

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
Your company must charge $100 for a software upgrade to make a profit on its development....
Your company must charge $100 for a software upgrade to make a profit on its development. You must find out if your customers are willing to pay this much. A random sample of 72 customers finds that 21 would pay $100 for the upgrade. If the upgrade is to be profitable, you will need to sell it to more than 25% of your customers. Do the sample data provide good evidence that more than 25% are willing to buy at...
A sample of 60 even older chips had an average speed of 391.2 MHz with a...
A sample of 60 even older chips had an average speed of 391.2 MHz with a standard deviation of 17.2 MHz. Someone claims that the new chips average more than 100 MHz faster than these very old chips. Do the data provide convincing evidence for this claim? State the appropriate null and alternative hypotheses, use Minitab to compute the p-value of the test, then state your conclusion. Use a significance level of α=.05. Please solve using minitab and show the...
We take a random sample of 10 eggs and measure their fat content. It is found...
We take a random sample of 10 eggs and measure their fat content. It is found that for this sample the average fat content is 5.5 g with a standard deviation of 0.4 g. We are interested in determining if the mean fat content of eggs is greater than 5 g. (a) Define the parameter of interest, and state the hypotheses in terms of the parameter. (b) State the test statistic you will use. What distribution (including degrees of freedom,...
In a sample of 160 children selected randomly from one town, it is found that 32...
In a sample of 160 children selected randomly from one town, it is found that 32 of them suffer from asthma. At the 0.05 significance level, suppose we want to test if these data provide sufficient evidence to conclude the proportion of all children in the town who suffer from asthma is different from 14%? A. State the null and alternative hypotheses. (b) Based on the sample information, calculate the test statistic. (c) Find the P-value. (d) Test the hypothesis...
We are interested in soda consumption among UW-Madison students. We have data from a sample of...
We are interested in soda consumption among UW-Madison students. We have data from a sample of 29 Soc 360 students. For these purposes we will consider our sample a SRS from the population of interest. Assume that 29 is a large enough n so that the sampling distribution will be Normal. Further suppose we know that the standard deviation of the number of bottles/cans of soda consumed in a day among UW-Madison students is 0.72. The mean number of bottle/cans...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n =20​, x overbar =57.8 ​words, s =15.9 words. Given that this dictionary has 1494 pages with defined​ words, the claim that there are more than​ 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 46.9 words. Use a 0.10 significance level to test the...
A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy....
A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5​ years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.4 and sample standard deviation...
In a study of health behavior, a random sample of 500 subjects from a major city...
In a study of health behavior, a random sample of 500 subjects from a major city was surveyed. In this random sample, 310 responded that they had dinner mostly after 8 PM. At 5% level of significance, does the data support that more than 60% of the residents in this city had dinner after 8 PM? (Must state null and alternative hypotheses and use p-value to conclude the test. You can use Chi-square Goodness of fit test or Binomial test...
In a study of health behavior, a random sample of 500 subjects from a major city...
In a study of health behavior, a random sample of 500 subjects from a major city was surveyed. In this random sample, 310 responded that they had dinner mostly after 8 PM. At 5% level of significance, does the data support that more than 60% of the residents in this city had dinner after 8 PM? (Must state null and alternative hypotheses and use p-value to conclude the test. You can use Chi-square Goodness of fit test or Binomial test...
The manager of a supermarket would like the variance of the waiting times of the customers...
The manager of a supermarket would like the variance of the waiting times of the customers not to exceed 4.0 minutes-squared. She would add a new cash register if the variance exceeds this threshold. She regularly checks the waiting times of the customers to ensure that the variance does not rise above the allowed level. In a recent random sample of 28 customer waiting times, she computes the sample variance as 6.5 minutes-squared. She believes that the waiting times are...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT