**Scenario: Testing Customer Purchase Behavior After Receiving Texts**A store owner wanted to determine if more than 5% of customers made a purchase after receiving a text. He sent out 300 texts to 300 randomly selected customers. Out of these 300, 17 made purchases. Is this evidence that if he sent out texts to all of his customers more than 5% would make purchases? What is the appropriate null and alternative hypothesis?**Hypothesis Options:**- **Option 1:** \( H_0: p = 0.05 \) and \( H_a: p > 0.05 \)- **Option 2:** \( H_0: \text{phat} = 0.05 \) and \( H_a: \text{phat} > 0.05 \)- **Option 3:** \( H_0: p = 0.056 \) and \( H_a: p > 0.056 \)- **Option 4:** \( H_0: \mu = 0.05 \) and \( H_a: \mu > 0.05 \)Select the most appropriate hypothesis for the given scenario.

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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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A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected). They found the following frequency table: Newly infected mice Newly infected mice 4 5 6 7 8 9 10 11 Frequency 1 2 2 6 5 4 2 1 Determine the expected probability of transmission for this particular variant of disease. Round your answer to three decimal places.
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Give the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.25
A researcher is interested in the effect of the pandemic on social media use among college students. The researcher hypothesizes that college students spend more time on social media thanthey did before the pandemic. To test his hypothesis, he randomly selected 50 college students and asked how many hours do they spend on social media per day before and after the pandemic. a) What is the research question? b) What is/are the variable(s)? What graphs can be used to display the variable(s) visually? c) What statistical test can be used to answer the research question?
a particular strain of inbred mice has a disability. any one mouse born with specific paretnis is 0.25. if 20 offspring are raised from these parents.. 1.) what is the mean and variance 2.)what is teh probability of obseving 5 offspring with the disability?
A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
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)What are the appropriate hypotheses for this chi-square test? b)What are the appropriate degrees of freedom for this test?
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.
2 Define the random variable, its type of distribution, and compute for the variable/measure that is being asked. You can follow the example below
A recent study has shown that 28% of 18-34 year olds check their Facebook/Instagram feeds before getting out of bed in the morning,If we sampled a group of 150 18-34 year olds, what is the probability that the number of them who checked their social media before getting out of bed is:a.) At least 30? b.) No more than 54? c.) between 36 and 49 (including 36 and 49)? Use the Normal Approximation to the Binomial distribution to answer this question.
3. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews.
1.) Why does a large value of the F statistics provide evidence against the null hypothesis? 2.) An urn contains 20 colored golf balls: 8 white, 6 red, 4 blue, and 2 yellow. A child is allowed to draw balls until he gets a yellow one. The number of draws required is recorded. Determine what distribution the probability experiment represents and why?

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