Is the true level of significance larger or smaller than .05? Is the true critical value larger or smaller than that for the critical z?
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Q: You wish to test the following claim (Ha) at a significance level of a = 0.002. H,:µ = 68.3 Ha:p +…
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Q: You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho:μ = 68.6 Ha: μ >…
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A: As per company guidelines I solved exactly three subparts of the question.thank you
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Q: You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 67.7 Ha:µ <…
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Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hypothesis at the .05 level of significance. Is the true level of significance larger or smaller than .05? Is the true critical value larger or smaller than that for the critical z?
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- It was reported that last year the average price of gallons of gasoline in a city X was $3.15. This year a sample of 50 gas stations had an average price of $3.10 for a gallon. We assume that the population standard deviation of prices is $0.15. We are interested in determining whether this year's mean price is less than last year. Perform a hypothesis test at the level of significance α=0.05.You test the null hypothesis Ho : µ = 17 against the alternative hypothesis Ha: µ ≠ 17. You use the Standard Normal Curve to find the P-value corresponding to your test statistic of 1.71. What is the P-value of your experiment? A. 0.1700 B. 0.0872 C. 0.0436 D. 0.9564 E. 0.9308You wish to test the following claim (Ha) at a significance level of a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?
- You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 90.2 Ha:u + 90.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 80.7 89.4 86.3 86.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =You wish to test the following claim (Ha) at a significance level of a = 0.01. H.: µ = 62.4 Ha:H > 62.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 31 with mean M 63.6 and a standard deviation of SD = 10.9. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 74.9 H.:p 74.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 84 with mean M = 74 and a standard deviation of SD = 6.4. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
- The test statistic of z = -2.13 is obtained when testing the claim that p<0.15. a. Using a significance level of a = 0.01, find the critical value(s). b. Should we reject Ho or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Standard normal distribution table (page 1) a. The critical value(s) is/are z = (Round to two decimal places as needed. Use a comma to separate answers as needed.) NEGATIV E z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT 01 .02 03 04 05 06 07 08 09 -3.50 and 0001 lower -3.4 0003 .0003 0003 0003 0003 0003 .0003 .0003 0003 .0002 -3.3 0005 0005 0004 0004 .0004 0004 0004 0004 .0003 -3.2 0007 0007 0006 0006 0006 0006 0006 .0005 .0005 .0005 -3.1 0010 0009 0009 0009 0008 0008 .0008 0008 .0007 .0007 -3.0 0013 0013 0013 0012 0012 .0011 0011 .0011 .0010 .0010 -2.9 0019 0018 0018 0017 0016 0016 0015 0015 .0014 0014 -2.8 0026 0025…You wish to test the following claim (Ha) at a significance level of a = 0.005. H.: µ = 60.8 H.:u > 60.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 92.4 61.2 97.2 82.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a This test statistic leads to a decision to... o reject the null o accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. The sample data support the claim that the population mean is greater than 60.8. There is…You wish to test the following claim (H.) at a significance level of a 0.02. H,:p = 79.3 H: u > 79.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with mean M 105.5 and a standard deviation of SD= l6.5. %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This p-value leads to a decision to... reject the null Oaccept the null fail to reject the null As such, the final conclusion is that... 5There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. | There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. The sample data support the claim that the population mean is greater than 79.3. There is not sufficient sample evidence to support the claim that the population mean is greater than 79.3.
- Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.0003. 1. State the null hypothesis and alternative hypothesis. 2. What kind of test would this be - two-tailed, left-tailed or right-tailed? 3. Sketch a normal distribution curve and highlight the region of significance. On your graph, next highlight the P-value. 4. State a conclusion about the null hypothesis (reject H0 or fail to reject H0).You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 68.6 Ha:u # 68.6 You believe the population is normally distributed and you know the standard deviation is a= 16.5 .You obtain a sample mean of M = 72.9 for a sample of size n = 25. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = | The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O The sample data support the claim that the population mean is not equal to 68.6.…You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 79.2 Ha:µ < 79.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 27 with mean M = 74.8 and a standard deviation of SD = 12.8. What is the test statistic for this sample? (Report answer accurate to three decimal places.)" test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 79.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 79.2. O The sample data support the claim that the population mean is…