Question

A researcher wants to test if the mean annual salary of all lawyers in a city...

A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers selected from the city reveals a mean annual salary of $105000. Assume that σ=$20000, and that the test is to be made at the 2% significance level.

What are the critical values of z?

-1.645 and 1.645

-1.28 and 1.28

-2.33 and 2.33

-2.05 and 2.05

What is the value of the test statistic, z, rounded to three decimal places?

Enter you answer; What is the value of the test statistic, z?

What is the p-value for this hypothesis test, rounded to four decimal places?

Enter you answer; What is the p-value for this hypothesis test?

Should you reject or fail to reject the null hypothesis in this test?

Choose your answer; Should you reject or fail to reject the null hypothesis in this test?

Reject.Fail to reject.

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 current survey of 38 lawyers found an average salary of $120,000, with a sample standard...
A current survey of 38 lawyers found an average salary of $120,000, with a sample standard deviation of $10,000. We don’t know the true population mean or variance for lawyers’ salaries. Suppose that US news publishes an article saying the average lawyer’s salary in the US is $125,000, and you want to test for whether the true average salary is different than that amount What is the null and alternative hypothesis for the above test? (1 POINT) What are the...
In a hypothesis test with hypotheses Ho: μ ≥ 80 and H1: μ < 80 and...
In a hypothesis test with hypotheses Ho: μ ≥ 80 and H1: μ < 80 and , a random sample of 105 elements selected from the population produced a mean of 74.6. Assume that σ= 23.3, and that the test is to be made at the 5% significance level. -What is the critical value of z? -1.96, 1.645, 1.96 or -1.645 -What is the value of the test statistic, z, rounded to three decimal places? -What is the p-value for...
9% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of...
9% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 382 people from the inner city surveyed, 23 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.10? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would...
In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 :...
In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠ 90 , a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 10% significance level. Assume the population is normally distributed. What are the critical values of t? -1.341 and 1.341 -1.746 and 1.746 -1.753 and 1.753 -1.645 and 1.645 What is the...
The average annual salary of employees at Wintertime Sports was $28,750 last year. This year the...
The average annual salary of employees at Wintertime Sports was $28,750 last year. This year the company opened another store. Suppose a random sample of 18 employees had an average annual salary of x = $25,810 with sample standard deviation of s = $4,230. Use a 1% level of significance to test the claim that the average annual salary for all employees is different from last year’s average salary. State the null and alternate hypotheses. Is the test left-tailed, right-tailed,...
Suppose you have a two sided hypothesis test, Ha: ? ? ?0 with a test statistic...
Suppose you have a two sided hypothesis test, Ha: ? ? ?0 with a test statistic z=2.70.  Determine the p-value and give the decision of this test. Use a 5% level of significance. a) P-value of 0.0035, reject the null hypothesis. b) P-value of 0.0035, fail to reject the null hypothesis. c) P-value of 0.9931, fail to reject the null hypothesis. d) P-value of 0.0069, reject the null hypothesis.
Multiple Choice: How often do you go out dancing? This question was asked by a professional...
Multiple Choice: How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of 95 single men showed that 24% went out dancing occasionally. Another random sample of 92 single women showed that 21% went out dancing occasionally. Is the proportion of single men who go out dancing occasionally higher than the proportion of single women? Use a 5% level of significance. If men are...
Is the proportion of wildfires caused by humans in the south greater than the proportion of...
Is the proportion of wildfires caused by humans in the south greater than the proportion of wildfires caused by humans in the west? 403 of the 481 randomly selected wildfires looked at in the south were caused by humans while 514 of the 640 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the 0.10 level of significance? H0: Psouth = Pwest H0: Psouth <, >, or not equal to Pwest? Test statistic:...
Some researchers claim that herbal supplements improve human memory. To test this claim, a researcher selects...
Some researchers claim that herbal supplements improve human memory. To test this claim, a researcher selects a sample of n = 25 college students. Each student is given herbal supplements daily for 6 weeks and then all the participants are given a standardized memory test. For the population, scores on the tests are normally distributed with µ = 70 and σ= 15. The sample of n = 25 students had a mean score of M = 75. Can we conclude...
In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 :...
In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 : μ > 45 , a random sample of 69 elements selected from the population produced a mean of 47.3. Assume that σ = 7.3, and that the test is to be made at the 2.5% significance level. What is the critical value of z? -1.96 1.96 -1.65 1.65 What is the value of the test statistic, z, rounded to three decimal places? What is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT