Consider testing the hypotheses: H0: p = 0.56 H1: p > 0.56 where p is the...
Consider testing the hypotheses:
H0: p = 0.56
H1: p > 0.56
where p is the true current proportion of employed U.S. adults who feel that basic mathematical skills are critical or very important to their job.
Suppose a larger sample is selected. Suppose we take a random sample of 160 employed adults and finds that 110 of them feel that basic mathematical skills are critical or very important to their job.
a) Using the larger sample of size n = 160, what would be the correct calculator command to run this hypothesis test?
b) Based on the larger sample of size n = 160, at level of significance 0.05, there ["is", "is not"] evidence that the true current ["proportion", "mean"] of employed U.S. adults who feel that basic mathematical skills are critical or very important to their job has increased since 2003.
Homework Answers
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Consider testing the
hypotheses:
H0: p = 0.56
H1: p > 0.56
where p is
the...
For the following questions, make sure you conduct a COMPLETE hypothesis test following all 5 steps,...
For the following questions, make sure you conduct a COMPLETE hypothesis test following all 5 steps, showing all work. In 2003, 56% of employed adults in the US reported that basic mathematical skills were very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has grown due to increased use of technology in the work place. The supervisor takes a random sample of 480 employed adults and finds that 297 of...
In 2008, 30% of employed adults in the United States reported that mathematical skills were very...
In 2008, 30% of employed adults in the United States reported that mathematical skills were very important to their job. A math professor at Hartwick College thinks this percentage has changed. He takes a random sample of 600 employed adults and finds that 157 of them feel that mathematical skills are very important to their job. Is there sufficient evidence to conclude that the percentage of employed adults who feel mathematical skills are very important to their job has changed...
If we are testing the hypothesis H0: p = 0.5 vs. H1: p > 0.5 where...
If we are testing the hypothesis H0: p = 0.5 vs. H1: p > 0.5 where p represents the proportion of American adults who would not be concerned if NSA collected records of personal telephone calls. When would you conclude that the data provide enough evidence that the proportion of adults who would not be concerned is 0.5? A. Never B. When exactly half of the people in the sample say they would not be bothered. C. When the p-value...
We wish to test H0:1p = 0.30 vs. H1: p > 0.30, where p is the...
We wish to test H0:1p = 0.30 vs. H1: p > 0.30, where p is the proportion of students who want to attend the game. Let X be the number of individuals in a random sample of n = 25 students who want to attend the game. a) As the sample size n increases, the power of the test also increases. Consider n = 150. For the rejection region "Reject Ho if X >= 53", find ... (i) the significance...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p <...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
Consider the following hypotheses: H0: p = 0.69 H1: p ≠ 0.69 416 Given that p...
Consider the following hypotheses: H0: p = 0.69 H1: p ≠ 0.69 416 Given that p = 0.606, n = 160, and a = 0.05, answer the following questions: a. What conclusion should be drawn? b. Determine the p-value for this test.
Testing: H0:μ=21.41H0:μ=21.41 H1:μ≠21.41H1:μ≠21.41 Your sample consists of 46 subjects, with a mean of 21.5 and standard...
Testing: H0:μ=21.41H0:μ=21.41 H1:μ≠21.41H1:μ≠21.41 Your sample consists of 46 subjects, with a mean of 21.5 and standard deviation of 3.58. Calculate the test statistic, rounded to 2 decimal places. t=t= Suppose are running a study/poll about the proportion of men over 50 who regularly have their prostate examined. You randomly sample 136 people and find that 75 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running:...
Consider the hypotheses below: H0: = 50 H1: 50 Given that sample mean x = 50,...
Consider the hypotheses below:
H0: = 50
H1:
50
Given that sample mean x = 50, s=20, n=25, and =0.05,
answer the question below:
A) What conclusion should be drawn? Determine the critical
values
B) Determine the p-value for this test
We wish to test H0:1p = 0.30 vs. H1: p > 0.30, where p is the proportion of students who want to attend the game. Let X be the number of individuals in a random sample of n = 25 students who want to attend the game. a) As the sample size n increases, the power of the test also increases. Consider n = 150. For the rejection region "Reject Ho if X >= 53", find ... (i) the significance...
Consider the hypotheses below:
H0: = 50
H1:
50
Given that sample mean x = 50, s=20, n=25, and =0.05,
answer the question below:
A) What conclusion should be drawn? Determine the critical
values
B) Determine the p-value for this test
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