Question

A researcher claims that more than 75% of the adults believe in global warming. Mimi conducted...

A researcher claims that more than 75% of the adults believe in global warming. Mimi conducted a survey on a random sample of 200 adults. The survey showed that 155 adults in the sample believe in global warming. Assume Mimi wants to use a 0.05 significance level to test the researcher’s claim.

(a) What is the appropriate hypothesis test to use for this analysis? Please identify and explain why it is appropriate.

(b) Identify the null hypothesis and the alternative hypothesis.

(c) Determine the test statistic. Round your answer to two decimal places. Describe method used for obtaining the test statistic

(d) Determine the p-value. Round your answer to three decimal places. Describe method used for obtaining the p-value

(e) Compare p-value and significance level α. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why? (f) Is there sufficient evidence to support the researcher’s claim that more than 75% of the adults believe in global warming? Explain your conclusion.

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 USA Today article claims that the proportion of people who believe global warming is a...
A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.66, but given the number of people you've talked to about this same issue, you believe it is less than 0.66. The hypotheses for this test are Null Hypothesis: p ≥ 0.66, Alternative Hypothesis: p < 0.66. If you randomly sample 28 people and 22 of them believe that global warming is a serious issue, what is your test statistic and...
A USA Today article claims that the proportion of people who believe global warming is a...
A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.6, but given the number of people you've talked to about this same issue, you believe it is different from 0.6. The hypotheses for this test are Null Hypothesis: p = 0.6, Alternative Hypothesis: p ≠ 0.6. If you randomly sample 29 people and 19 of them believe that global warming is a serious issue, what is your test statistic and...
A USA Today article claims that the proportion of people who believe global warming is a...
A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.78, but given the number of people you've talked to about this same issue, you believe it is different from 0.78. The hypotheses for this test are Null Hypothesis: p = 0.78, Alternative Hypothesis: p ≠ 0.78. If you randomly sample 23 people and 15 of them believe that global warming is a serious issue, what is your test statistic and...
A grocery store manager is interested in testing the claim that banana is the favorite fruit...
A grocery store manager is interested in testing the claim that banana is the favorite fruit for more than 50% of the adults. The manager conducted a survey on a random sample of 100 adults. The survey showed that 56 adults in the sample chose banana as his/her favorite fruit. Assume the manager wants to use a 0.05 significance level to test the claim.   (a) What is the appropriate hypothesis test to use for this analysis? Please identify and explain...
A USA Today article claims that the proportion of people who believe global warming is a...
A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.5, but given the number of people you've talked to about this same issue, you believe it is greater than 0.5. The hypotheses for this test are Null Hypothesis: p ≤ 0.5, Alternative Hypothesis: p > 0.5. You take a random sample and perform a hypothesis test, getting a p-value of 0.3256. What is the appropriate conclusion? Conclude at the 5%...
A USA Today article claims that the proportion of people who believe global warming is a...
A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.59, but given the number of people you've talked to about this same issue, you believe it is greater than 0.59. The hypotheses for this test are Null Hypothesis: p ≤ 0.59, Alternative Hypothesis: p > 0.59. You take a random sample and perform a hypothesis test, getting a p-value of 0.9623. What is the appropriate conclusion? Conclude at the 5%...
In a recent poll of 745 randomly selected​ adults, 586 said that it is morally wrong...
In a recent poll of 745 randomly selected​ adults, 586 said that it is morally wrong to not report all income on tax returns. Use a 0.01 significance level to test the claim that 75% of adults say that it is morally wrong to not report all income on tax returns. 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. Use the normal...
5. A researcher claims that 75% percent of Americans think they are unlikely to contract the...
5. A researcher claims that 75% percent of Americans think they are unlikely to contract the Zika virus. In a random sample of 230 Americans, 215 think they are unlikely to contract the Zika virus. At α = 0.05, is there enough evidence to reject the researcher’s claim? (a) identify the claim and state H0 and H1 (b) find the critical value (c) find the test statistic (d) decide whether to reject or fail to reject the null hypothesis (e)...
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when...
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.050.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to​ agree,...
In a recent poll of 745 randomly selected​ adults, 586 said that it is morally wrong...
In a recent poll of 745 randomly selected​ adults, 586 said that it is morally wrong to not report all income on tax returns. Use a 0.05 significance level to test the claim that 75​% of adults say that it is morally wrong to not report all income on tax returns. 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. Use the normal...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT