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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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A hypothesis test is performed with a significance level of a = 0.01 on
Ho: µ = 313
H: µ + 313
where the null hypothesis is the claim.
Suppose that the p-value is p = 0.0085.
%3D
a.) Determine if we should reject or fail to reject the null hypothesis.
O reject the null hypothesis
o fail to reject the null hypothesis
b.) Set up the beginning of the conclusion:
There is
evidence to
the claim that...

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The test statistic z=1.42 is obtained when testing the claim that p>4 a) find the p value B) using a significance level that alpha =0.01, should we reject the null hypothesis or fail to reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level.The null and alternative hypothesis would be: H0:μ≥0.1H0:μ≥0.1Ha:μ<0.1Ha:μ<0.1 H0:p≤0.1H0:p≤0.1Ha:p>0.1Ha:p>0.1 H0:μ≤0.1H0:μ≤0.1Ha:μ>0.1Ha:μ>0.1 H0:μ=0.1H0:μ=0.1Ha:μ≠0.1Ha:μ≠0.1 H0:p=0.1H0:p=0.1Ha:p≠0.1Ha:p≠0.1 H0:p≥0.1H0:p≥0.1Ha:p<0.1Ha:p<0.1 The test is: right-tailed left-tailed two-tailed Based on a sample of 600 people, 2% owned catsThe test statistic is: (Round to 2 decimals)The p-value is: (Round to 2 decimals)Based on this we: Do not reject the null hypothesis Reject the null hypothesis
In doing a hypothesis test of the population proportion at α=0.02 level of significance, we got the p-value to be 0.006. What would our conclusion to the test be? Why? A. Do NOT Reject H0 since the p-value > α B. Reject H1 since the p-value < α C. Reject H0 since the p-value < α D. Do NOT Reject H0 since the p-value < α
Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.05. Z-Test Z-Test Inpt: Data Stats μ≠50 μ0:50 z=−2.95145915 σ:3.75 p=0.00316276 x:48.25 x=48.25 n:40 n=40 μ: ≠μ0 <μ0 >μ0 Calculate Draw Choose the correct answer below. A. Since the P-value is greater than α, fail to reject the null hypothesis. B. Since the P-value is less than α, reject the null hypothesis. C. Since the P-value is greater than α, reject the null hypothesis. D. Since the P-value is less than α, fail to reject the null hypothesis.
Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.05. Z-Test Z-Test Inpt: Data Stats μ≠50 μ0:50 z=−1.40859042 σ:5.25 p=0.15895631 x:48.75 x=48.75 n:35 n=35 μ: ≠μ0 <μ0 >μ0 Calculate Draw Choose the correct answer below. A. Since the P-value is greater than α, reject the null hypothesis. B. Since the P-value is less than α, reject the null hypothesis. C. Since the P-value is less than α, fail to reject the null hypothesis. D. Since the P-value is greater than α, fail to reject the null hypothesis.
Test the claim that the proportion of people who own cats is smaller than 50% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p≤0.5H0:p≤0.5Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5Ha:μ>0.5Ha:μ>0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned catsThe test statistic is: (Round to 2 decimals)The p-value is: (Round to 2 decimals)Based on this we: Reject the null hypothesis Do not reject the null hypothesis
The P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06
Test the claim that the proportion of men who own cats is smaller than 70% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 Correct The test is: left-tailed right-tailed two-tailed Correct Based on a sample of 300 people, 69% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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