Listed below are the numbers of words spoken in a day by each member of eight differentrandomly selected couples.The numbers of words spoken in a dayMale16,15226,0481426793419,32615,83713,82225,728Female 25,20313,53918,89517,80512,95516,67516,68519,262(a) Use a 0.01 significance level to test the claim that among couples, males speak fewer words in aday than females.Ho: Hd[ Select ][ Select ]wordsH1: Pd[ Select ][ Select ]v words

Given : the numbers of words spoken in a day by each member of eight different randomly selected…

Answered: The numbers of words spoken in a day…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: “How often do you read a book outside of work or school: regularly, sometimes, or never?” The results are summarized in the following table: OBSERVED READING HABITS Regularly Sometimes Never Total Male 42 72 10 124 Female 72 74 7 146 Total 107 146 17 270 A)Suppose the chi-square test statistic is 3.7329254 with 2 degrees of freedom. Using the chi-square table, what is the p-value for this test? B)Suppose the p-value is 0.11. At the a = 0.05 level, what conclusion should be made?
Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 294 people over the age of 55, 78 dream in black and white, and among 291 people under the age of 25, 10 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below indentify test statistic p value= the 90% confidence interval is
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…
Ten randomly selected people took an IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below. Person A B C D E F G H I J Test A 103 86 93 116 89 104 124 97 108 80 Test B 104 87 96 121 90 104 123 97 112 78 1. Consider (Test A - Test B). Use a 0.05 significance level to test the claim that people do better on the second test than they do on the first. (Note: You may wish to use software.) (a) What test method should be used?A. Two Sample t B. Two Sample z C. Matched Pairs (b) The test statistic is ........ (c) The critical value is .......... (d) Is there sufficient evidence to support the claim that people do better on the second test? A. Yes B. No2. Construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B). .......<μ<..........
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 320 people over the age of 55, 72 dream in black and white, and among 313 people under the age of 25, 15 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1≠p2 B. H0: p1=p2 H1: p1>p2 C. H0: p1≥p2 H1: p1≠p2 D. H0: p1≠p2 H1: p1=p2 E. H0: p1≤p2 H1: p1≠p2 F. H0: p1=p2 H1:p1<p2 Identify the test statistic. z=_____ (Round to…
2
Every year during home football games the Carroll College fans do push-up contests to see how many they can do. Suppose that a curious stats student in the stands kept track of the number of push-ups completed for several students of both genders. Males 31 31 24 18 30 16 28 13 26 23 Females 16 11 10 1 26 26 6 9 16 32 Consider the hypothesis that males in this contest can do more pushups than females. Use an significance level to test the claim. The test statistic is Construct a 99% confidence interval for the mean of the differences between males and females.
The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Was the Challenge to the Call Successful? Yes No Men 246 790 Women 351 550
1
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Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.

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