Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 11.2, Problem 2BSC
Ear Preference for Cell Phone Use
2. Hypotheses Refer to the data given in Exercise 1 and assume that the requirements are all satisfied and we want to conduct a hypothesis test of independence using the methods of this section. Identify the null and alternative hypotheses.
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Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is u = 12.00 Mbps. The sample size isn=11 and the test statistic is t= - 1.298.
(Round to three decimal places as needed.)
P-value =
Research Question: Is there a difference between the average height of male and female basketball players in the club?
28 male and 25 female basketball players from the club were randomly selected. Use the following image to answer the questions below.
Carry out an appropriate hypothesis test to answer the above Research Question.
Q1) The null and alternative hypotheses are : Choose one from below
-H0: μ = 0, H1: μ ≠ 0
-H0: μ = 170, H1: μ ≠ 170
-H0: μm- μf = 167.489, H1: μm- μf ≠ 167.489
-H0: μm- μf = 0, H1: μm- μf ≠ 0
H0: μm- μf = 170.27, H1: μm- μf ≠ 170.27
Q2) What is the assumption you need to make ? Choose one from below
-The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population
-None of these
-Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution
-The boxplots…
Only 25% of registered voters voted in the last election. Will voter participation higher for the upcoming election? Of the 600 randomly selected registered voters surveyed, 192 of them will vote in the upcoming election. Perform a hypothesis test and use a = .05 level of significance? Step (1) Determine the null and alternative hypotheses. Ho: p= 0.25 Ho: p0.25 Step (2) Determine the test statistic and p-value. Test Statistic: 3.9598 p-value = 0.0003 Step (3) Find the critical value for the rejection region ZV Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. Step (4) Compare the p-value to alpha
Chapter 11 Solutions
Essentials of Statistics (6th Edition)
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- Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is u = 12.00 Mbps. The sample size isn= 19 and the test statistic is t= - 2.084. P-value = (Round to three decimal places as needed.)arrow_forwardI have 20 chickens and I average 16 eggs per day. Using this data, how would I find the null and alternative hypotheses. Define the population parameter, the appropriate test statistic formula, and if the hypothesis test is left-tailed, right-tailed, or two-tailed. Be sure to set up your hypotheses, too. How did you decide on constructing these hypotheses? What level of significance would you use? Why? The population parameters that you should use for this discussion are: μ: the population mean or p: the population proportion Be sure to include numerical values for your variables. Additionally, identify the Type I and Type II Errors that could occur with your decision‐making process.arrow_forwardThe critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z =-1.90, what is the correct statistical decision? Reject H0 Fail to reject H1 Reject H1 Fail to reject H0arrow_forward
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