Question

You interview a random sample of 50 adults. The results of the survey show that 50%...

You interview a random sample of 50 adults. The results of the survey show that 50% of the adults said they were more likely to buy a product when there are free samples. At alphaαequals=0.01 can you reject the claim that at least 56% of the adults are more likely to buy a product when there are free samples?

A. Determine the critical value(s)

The critical value(s) is/are

Find the z-test statistic

What is the result of the test?

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

Homework Answers

Answer #1

To Test :-

H0 :- P = 0.56

H1 :- P 0.56



n = 50
P = X / n = 25 / 50 = 0.5


Test Statistic :-


Z = -0.85


Test Criteria :-
Reject null hypothesis if

Critical value

= -0.85 < 2.326, hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0


Decision based on P value
P value = P ( Z > -0.85 )
P value = 0.8023
Reject null hypothesis if P value <
Since P value = 0.8023 > 0.01, hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0


There is insufficient evidence to support the claim that  that at least 56% of the adults are more likely to buy a product when there are free samples.

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
An online survey asked 1,000 adults “What do you buy from your mobile device?” The results...
An online survey asked 1,000 adults “What do you buy from your mobile device?” The results indicated that 61% of the females and 39% of the males answered clothes. The sample sizes for males and females were not provided. Suppose that both samples were 500 and that 195 out of the 500 males and 305 out of the 500 females reported they buy clothing from their mobile device. Using the Excel output below, answer the following questions: Z Test for...
In a survey of 150 senior executives, 52% said that the most common job interview mistake...
In a survey of 150 senior executives, 52% said that the most common job interview mistake is to have little or no knowledge of the company. Use a 0.01 significance level to test the claim that in the population of all senior executives, 45% say that the most common job interview mistake is to have little or no knowledge of the company. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that...
In a survey of 145 senior​ executives, 48.3​% said that the most common job interview mistake...
In a survey of 145 senior​ executives, 48.3​% said that the most common job interview mistake is to have little or no knowledge of the company. Use a 0.01 significance level to test the claim that in the population of all senior​ executives, 40​% say that the most common job interview mistake is to have little or no knowledge of the company. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that...
According to a 2018 survey by a research group, 30% of adults typically run the water...
According to a 2018 survey by a research group, 30% of adults typically run the water for a period of 6 to 10 minutes while taking the shower). Suppose that in a recent survey of 400 adults, 104 stated that they typically run the water for a period of 6 to 10 minutes when they take a shower. At the 5% significance level, can you conclude that the proportion of all adults run the water for a period of 6...
In a survey of 155 senior​ executives, 45.8​% said that the most common job interview mistake...
In a survey of 155 senior​ executives, 45.8​% said that the most common job interview mistake is to have little or no knowledge of the company. Use a 0.01 significance level to test the claim that in the population of all senior​ executives, 45​% say that the most common job interview mistake is to have little or no knowledge of the company. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that...
2. 7.4 QUESTION 5 A research center claims that at most 77% of adults in a...
2. 7.4 QUESTION 5 A research center claims that at most 77% of adults in a certain country think that drivers are safer using hands-free cell phones instead of using hand-held cell phones. In a random sample of 150 adults from that country, 80% think that drivers are safer using hands-free cell phones instead of using hand-held cell phones. At αequals=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. b. (a)Identify HO and...
In an Accountemps survey of 255 senior executives, 113 said that the most common job interview...
In an Accountemps survey of 255 senior executives, 113 said that the most common job interview mistake is to have little or no knowledge of the company. Test the claim, at the 5% level that in the population of all senior executives, 40% say that the most common job interview mistake is to have little or no knowledge of the company. What important lesson is learned from this survey? State the null and alternative hypothesis What is the test statistics?...
A medical researcher says that less than 82​% of adults in a certain country think that...
A medical researcher says that less than 82​% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600 adults in that​ country, 80​% think that healthy children should be required to be vaccinated. At alphaαequals=0.01​, is there enough evidence to support the researcher's claim? Complete parts​ (a) through​ (e) below. c) Find the standardized test statistic z. z= ??? d) Decide whether to reject or fail to reject...
Testing the Difference Between Two Proportions. In Exercises 7–12, (a) identify the claim and state H0...
Testing the Difference Between Two Proportions. In Exercises 7–12, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic z, (d) decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent. 9. Young Adults In a survey of 1750 females ages 20 to 24 whose...
A simple random sample of 50 adults is obtained, and each person’s height is measured.The sample...
A simple random sample of 50 adults is obtained, and each person’s height is measured.The sample mean is 68 inches. The population standard deviation for heights is 2.35. • Use a 0.01 significance level to test the claim that the sample is from a population with a mean equal to 73, against the alternative hypothesis that the mean height is less than 73. (ASSUME Normal). If Z0.01=−2.32 and Z0.005=−2.57 are numbers s.t. P(Z < Z0.01) = 0.01 and P(Z <...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT