Elementary Statistics (Custom Package)
12th Edition
ISBN: 9781269598064
Author: Triola
Publisher: PEARSON
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Chapter 11.2, Problem 4BSC
To determine
To identify: The number of degrees of freedom and the critical value of
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In a sample of 950 adults, it is found that 48% are registered to vote in their state . Use a 0.05 significance level to test the claim that less than 50% of all adults are registered to vote for their state.
a. Find the test statstic
b. Find the Critical value
c. Find the p- value
d. What is the consclusion about the null hypothesis?
e. What is the final conclusion in nontechnical terms?
( use the z table )
Assume that the significance level is α=0.1. Use the given information to find the P-value and the critical value(s). The test statistic of z=1.44 is obtained when testing the claim that p>0.3.
1. What is the p-value?
2. What are the critical values?
(a) Determine the critical value(s) for a right-tailed test of a population mean at the α=0.05 level of significance with 20 degrees of freedom.
(b) Determine the critical value(s) for a left-tailed test of a population mean at the α=0.01 level of significance based on a sample size of n=15.
(c) Determine the critical value(s) for a two-tailed test of a population mean at the α=0.05 level of significance based on a sample size of n=18.
Chapter 11 Solutions
Elementary Statistics (Custom Package)
Ch. 11.2 - Prob. 1BSCCh. 11.2 - Prob. 2BSCCh. 11.2 - Prob. 3BSCCh. 11.2 - Prob. 4BSCCh. 11.2 - Prob. 5BSCCh. 11.2 - Prob. 6BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 9BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...
Ch. 11.2 - Prob. 11BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 13BSCCh. 11.2 - Prob. 14BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 17BSCCh. 11.2 - American Idol Contestants on the TV show American...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 20BSCCh. 11.2 - Prob. 21BSCCh. 11.2 - Prob. 22BSCCh. 11.2 - Benfords Law. According to Benfords law, a variety...Ch. 11.2 - Prob. 24BSCCh. 11.2 - Testing Goodness-of-Fit with a Normal Distribution...Ch. 11.3 - Smoking Cessation The accompanying table...Ch. 11.3 - Prob. 2BSCCh. 11.3 - Degrees of Freedom and Critical Value For the...Ch. 11.3 - Prob. 4BSCCh. 11.3 - Prob. 5BSCCh. 11.3 - Prob. 6BSCCh. 11.3 - Prob. 7BSCCh. 11.3 - Prob. 8BSCCh. 11.3 - In Exercises 5-18, test the given claim. 9. Is...Ch. 11.3 - Prob. 10BSCCh. 11.3 - In Exercises 5-18, test the given claim. 11....Ch. 11.3 - Prob. 12BSCCh. 11.3 - Soccer Strategy In soccer, serious fouls in the...Ch. 11.3 - Prob. 14BSCCh. 11.3 - Prob. 15BSCCh. 11.3 - In Exercises 5-18, test the given claim. 16....Ch. 11.3 - Prob. 17BSCCh. 11.3 - Prob. 18BSCCh. 11.3 - Prob. 19BSCCh. 11.3 - Prob. 20BSCCh. 11.3 - Prob. 21BBCh. 11.3 - Using Yatess Correction for Continuity The...Ch. 11 - Prob. 1CQQCh. 11 - Prob. 2CQQCh. 11 - Questions 1-5 refer to the sample data in the...Ch. 11 - Prob. 4CQQCh. 11 - Prob. 5CQQCh. 11 - Prob. 6CQQCh. 11 - Prob. 7CQQCh. 11 - Prob. 8CQQCh. 11 - Prob. 9CQQCh. 11 - Questions 6-10 refer to the sample data in the...Ch. 11 - Auto Fatalities The table below lists auto...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Home Field Advantage Winning-team data were...Ch. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - ICU Patients Listed below are the ages of randomly...Ch. 11 - Prob. 4CRECh. 11 - Boats and Manatees The table below lists the...Ch. 11 - Forward Grip Reach and Ergonomics When designing...Ch. 11 - Honesty Is the Best Policy In a USA Today survey...Ch. 11 - Probability and Honesty Based on the sample...Ch. 11 - Use Statdisk, Minitab, Excel, StatCrunch, a...Ch. 11 - Prob. 1FDD
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- A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 65%. If 173 out of a random sample of 255 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.05 level of significance? State the null hypothesis H0 and the alternative hypothesis H1 Find the z-test value Find the critical value Can we reject the aide's estimate that the proportion of college students who intend to vote is at most 65%? Yes or No?arrow_forward1. You are performing a two-tailed test with a sample size of 44.If α=.02α=.02, find the positive critical value, to four decimal places.tα/2= ? 2. You are performing a two-tailed test with a sample size of 88.If α=.01α=.01, find the positive critical value, to four decimal places.tα/2= ?arrow_forwardCalculate the critical zz-value(s) for each of the given hypothesis test scenarios below. If multiple critical values exist for a single scenario, enter the solutions using a comma-separated list. Round zz-values to two decimal places. Find the critical zz-value(s) for a left-tailed test of hypothesis for a proportion, with a sample size of 116 and a significance level of 10%. z= Find the critical zz-value(s) for a right-tailed test of hypothesis for a proportion, with a sample size of 38 and a significance level of 1%. z= Find the critical zz-value(s) for a two-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 58 and let α=0.001α=0.001. z= Find the critical zz-value(s) for a two-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 85 and a significance level of 2%. z=arrow_forward
- You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:p1−p2=0Ho:p1-p2=0 Ha:p1−p2<0Ha:p1-p2<0You obtain 582 successes in a sample of size 745 from the first population. You obtain 446 successes in a sample of size 563 from the second population.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value, zczc =arrow_forwardThe test statistic of z= - 1.56 is obtained when testing the claim that p < 0.51. A) using a significance level a=0.01, find the critical value’sarrow_forwardUse the data in picture to test Nabisco's “Chips Ahoy! 1,000 Chips Challenge.” a. Calculate the mean X ¯ and standard deviation (s) of the sample of bags of cookies. b. State the null and alternative hypotheses (H0 and H1 ) (allow for the possibility that the number of chips may either be less or greater than that claimed by Nabisco). c. Make a decision about the null hypothesis. 1. Calculate the degrees of freedom (df). 2. Set alpha (α), identify the critical values (draw the distribution), and state 429 a decision rule. 3. Calculate a statistic: t-test for one mean. 4. Make a decision whether to reject the null hypothesis. 5. Determine the level of significance. d. Draw a conclusion from the analysis. e. What are the implications of this analysis for those who disbelieve Nabisco's claim?arrow_forward
- Suppose a mechanic claims that a machine filling bottles with saline solution is not equal to 153 ml, on average. Several of his coworkers do not believe him, so the mechanic decides to do a hypothesis test, at a 1% significance level, to persuade them. He fills 18 bottles, collects the proper data, and works through the testing procedure: H0: μ=153; Ha: μ≠153 x¯=156 σ=13 α=0.01 (significance level) The test statistic is: z0=x¯−μ0σn√=156−1531318√=0.98 The critical values are −z0.005=−2.58 and z0.005=2.58 Conclude whether to reject or not reject H0, and interpret the results. -Reject H0. At the 1% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis. -Reject H0. At the 1% significance level, the data provide sufficient evidence to conclude that the mean filled bottle of saline solution is not equal to 153 ml. -Do not reject H0. At the 1% significance level, the test results are not statistically…arrow_forwardA neighborhood of 45 homes found that 75% (SD=2.1) had at least one pet. The city-wide average for neighborhoods is 71%. Find the critical value of t and the value of t we obtain (or observe) presuming a 2-tailed test. Also, calculate the effect size. Lastly, write a statement of the hypotheses with your findings.arrow_forwardLet X equal the number of female children in a three-child family. We shall use a chi-square goodness-of-fit statistic to test the null hypothesis that the distribution of X is b(3, 0.5) (a) Define the test statistic and critical region, using an a = 0.05 significance level. (b) Among students who were taking statistics, 52 came from families with three children. For these families, x = 0, 1, 2, and 3 for 5, 17, 24, and 6 families, respectively. Calculate the value of the test statistic and state your conclusion, considering how the sample was selected.arrow_forward
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