Question

A researcher claims that less than 30% of the Ash trees in a forest are healthy....

A researcher claims that less than 30% of the Ash trees in a forest are healthy. A random sample of 80 Ash trees is selected and of those, only 20 are healthy. Use the sample data to test the researcher’s claim at a significance level of 0.05.
(a) State the claim, null hypothesis, and alternative hypothesis.
Claim: H0: H1:
(b) What tail is the test? If we find a test statistic of z = −1.12, find the corresponding P-value and state the conclusion of the hypothesis test.

Tailed: p−value: Conclusion:

(c) Interpret your conclusion.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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)...
3.3 Q: A supplier of digital memory cards claims that a proportion of less than 20%...
3.3 Q: A supplier of digital memory cards claims that a proportion of less than 20% of the cards are defective. In a random sample of 145 memory cards, it is found that 6 are defective. At the 5% level of significance, use the given sample to test the manufacturer’s claim that less than 20% of the items are defective. Identify the null hypothesis and alternative hypothesis, test statistic, P -value, conclusion about the null hypothesis, and final conclusion that...
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...
A researcher claims that 85% percent of American think they are unlikely to contract the Zika...
A researcher claims that 85% percent of American think they are unlikely to contract the Zika virus. In a random sample of 300 Americans, 225 think they are unlikely to control the Zika virus. At 5% level of significance, is there enough evidence to reject the researcher's claim? What is the Null hypothesis (H0); Alternate hypothesis (H1); and the direction of the test? Which distribution is used in this case? What is the critical value? What is the Test Statistic...
A researcher claims that the mean annual production of cotton is 3.5 million bales per country....
A researcher claims that the mean annual production of cotton is 3.5 million bales per country. A random sample of 44 countries has a mean of annual production of 2.1 million bales and a standard deviation of 4.5 million bales. Use a 0.05 significance level to test the researcher’s claim. a. Hypothesis (steps 1-3): b. Value of Test Statistic (steps 5-6): c. P-value (step 6): d. Decision (steps 4 and 7): e. Conclusion (step 8):
A researcher claims that the mean annual production of cotton is 3.5 million bales per country....
A researcher claims that the mean annual production of cotton is 3.5 million bales per country. A random sample of 44 countries has a mean of annual production of 2.1 million bales and a standard deviation of 4.5 million bales. Use a 0.05 significance level to test the researcher’s claim. a. Hypothesis (steps 1-3): b. Value of Test Statistic (steps 5-6): c. P-value (step 6): d. Decision (steps 4 and 7): e. Conclusion (step 8):
A researcher suspected that age is related to depression. It is known that the general population...
A researcher suspected that age is related to depression. It is known that the general population average μ=40 on a standard depression test. The researcher obtained a sample of individuals who are more than 75 years old. The depression score of this sample are as follows: 48, 38, 42, 48, 39, 47, 41, 42, 42. On the basis of this sample, is depression for elderly people significantly different from depression in the general population at α=0.05 level? 1) State the...
A humane society center claims that less than 63% of households in a certain country own...
A humane society center claims that less than 63% of households in a certain country own a pet. In a random sample of 400 households in that country, 236 say that they own a pet. At α=0.0​1, is there enough evidence to support the society's center's claim? Complete parts​ (a) through​ (d) below. (a) Identify the claim and state H0 and Ha. Let p be the population proportion of​ successes, where a success is a household in the country that...
A medical researcher says that less than 25?% of adults in a certain country are smokers....
A medical researcher says that less than 25?% of adults in a certain country are smokers. In a random sample of 250 adults from that? country, 18?% say that they are smokers. At =0.05, is there enough evidence to support the researcher's claim? 1. Stat the null and alternative hypothesis 2. What is the P-Value? 3. What is the Test Statistic? 4. State the conclusion in Text
Test the claim that the mean GPA of night students is significantly different than 2.3 at...
Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.05 significance level. The null and alternative hypothesis would be: H0:p=0.575 H1:p>0.575 H0:μ=2.3 H1:μ≠2.3 H0:p=0.575 H1:p≠0.575 H0:p=0.575 H1:p<0.575 H0:μ=2.3 H1:μ>2.3 H0:μ=2.3 H1:μ<2.3 The test is: right-tailed two-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 2.26 with a standard deviation of 0.04 The test statistic is:______ (to 2 decimals) The positive critical value is:________ (to 2 decimals) Based...