Directions: Follow the steps in testing the hypothesis to answer the following problems.a. Identify the given in the problem.b. State the null and alternative hypotheses.c. Determine the test statistic, then compute its value.d. Find the critical value and draw the critical region.e. Draw a conclusionA teacher believes that less than 20% of the students like Mathematics. If 13 out of the 60randomly selected students like mathematics, is the teachers' claim valid? Use 90% confidencelevel.

a) The hypothesized proportion is 0.20.

Answered: Directions: Follow the steps in testing…

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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1. A marketing manager for a cell phone company claims that more than 35% of children aged 10 – 11 have cell phones. In a survey of 5000 randomly selected children ages 10 – 11, 1805 of them had cell phones. Based on the sample data, can you conclude that the manager's claim is true? Use a 1% level of significance. a. Define the population proportion to be tested and write the null and alternative hypotheses. b. Check the conditions required for the test.
2. We ask whether people will score higher or lower on a questionnaire of their well-being when they are exposed to sunshine compared to when they're not exposed to sunshine. A sample of 8 people is first measured after low levels of sunshine exposure and then again after high levels of exposure. We get the following pairs of scores: Low: 14 13 17 15 18 17 14 16 High: 18 12 20 19 22 19 19 16 a. State the null and alternative hypotheses. b. Using an alpha = 0.05, what is t (crit)? c. Using SPSS, calculate t (obu) (Use paired/related sample t test to obtain this info) d. What should you conclude?
1. A Pew Poll taken in 2010 surveyed 830 randomly selected people ages 18 – 29, and found that 166 of them had one or more tattoos. Based on the sample data, can you conclude that the percentage of people aged 18 – 29 who have a tattoo is less than 25%? Use a 1% level of significance. a. Define the population proportion to be tested and write the null and alternative hypotheses. b. Check the conditions required for the test. c. Compute the test statistic.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O C. Ho: H=31 O A. Ho: H> 31 Hai H531 O B. Ho: H231 Ha:H31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject H because the P-value is less than the…
2. Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 137 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%. a. State the null hypothesis. b. State the alternative hypothesis. c. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a.
a. Identify the null and alternative hypotheses for this test. Choose the correct answer below. b. Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test. d. Identify the conclusion for this hypothesis test. e. Do the results support the belief that 51.3% of newborn babies are boys?
aps Microsoft Word -... 12) and 13) Hypothesis testing for proportions You must show your work: 1. Clearly state the significance level, sample size, sample proportion 2. Clearly state the null hypothesis and alternative hypothesis 3. Present the test statistics (z-score) and P-value 4. Decided if the null hypothesis should be rejected for the alternative or not. 5. Write out the conclusion to the question. ► The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that…
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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