s) Answer the following True or False.If the level of confidence is increased from 90% to 95% then themargin of error will be increased.A researcher hypothesizes that the average student spends less than20% of their total study time reading the textbook. The appropriatehypothesis test is a left tailed test for a population mean.We want to test whether the mean height of eighth graders is less than66 inches. The correct statements of the null and alternativehypotheses are as follows:Ho:µ > 66Ha:H < 66A researcher conducted a hypothesis test to see if students on averageperform better on exams given in the morning than exams given in theafternoon. The a selected was 0.05. This means that there is a 5percent chance that the researcher will reject the null hypothesis.Comparing the daily high temperatures in Edison, NJ and Newark, NJfor each day of the winter is an example of matched pairs.

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MATLAB: An Introduction with Applications

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Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.
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19.
Suppose we wanted to compare the average BMI of a sample of Charleston County residents to the average BMI of US adults (u-26.5). Use the data in the table below to conduct the appropriate hypothesis test to see if the average BMI of our sample of Charleston County residents is significantly different than the US adult average. CHS Sample BMI 25.3 27.5 24.2 27.5 28.6 28.6 24.2 22 23.1 29.7 20.9 25.3 26.4 22 29.7 28.6 26.4 24.2 20.9 25.3 What is the value for the test statistic? (round to two decimal places)
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
45. Dr. Susan Benner is an industrial psychologist. She is currently studying stress among executives of Internet companies. She has developed a questionnaire that she believes measures stress. A score above 80 indicates stress at a dangerous level. A random sample of 15 executives revealed the following stress level scores. 94 78 83 90 78 99 97 90 97 90 93 94 100 75 84 Construct a 95% confidence level for the population mean. According to Dr. Benner's test, is it reasonable to conclude that the mean stress level of Internet executives is 80? Explain. a. b. C. d. X±Z p±z\ p(1-P) n x ±1 -3 n= Za e. None of these. Which formula? 106
According to the most recent General Social Survey, 70% of adults watch TV nightly. A researcher believes that the proportion of college students who watch TV nightly is less than this. To test this claim the research samples 400 college students and finds that 276 watch TV nightly. At the 0.05 level of significance does this data provide evidence to suggest that the proportion of college students who watch TV nightly is less than 70%? What is the p-value for this hypothesis test? Round to three decimal places.
According to a poll, 79% of California adults (398 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find a 90% confidence interval for the population proportion. (Round your answers to three decimal places.) Additional Materials Reading
An article claims that 70% of adults over 50 take vitamin supplements. To test this claim, you take a sample and do your math. Based on your results, you end up rejecting the claim. Later it turns out that the claim was in fact correct. What type of error did you make, if any? No error was made. A type II error A type I error
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A clothing designer creates a unisex outfit and wants to be 95% certain that it’ll fit both men and women; it was designed to fit an individual of 65 inches height. An assistant gathers the heights of random men and women walking down the street (see the attached data). Using the data, determine if the outfit will fit both men and women with 95% confidence. Need a hypothesis test included. Data Table: Women Men 63.0 71.4 65.7 69.9 65.2 73.2 65.9 69.7 60.8 70.4 62.9 66.3 69.6 78.7 67.5 69.8 63.4 73.5 63.8 68.1 63.0 68.1 63.7 76.0 66.1 68.0 61.9 69.8 63.5 71.1 68.1 68.1 60.8 76.4 65.4 66.4 65.3 72.9 64.0 67.3 64.9 64.8 61.1 70.7

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