**Tweet tweet:** An article reported that \(73\%\) of companies have Twitter accounts. An economist thinks the percentage is different at technology companies. She samples 70 technology companies and finds that 45 of them have Twitter accounts. Can she conclude that the percentage of technology companies that have Twitter accounts differs from \(73\%\)? Use the \(\alpha = 0.05\) level of significance and the critical value method.**Part: 0 / 5**### Part 1 of 5State the appropriate null and alternate hypotheses.\(H_0:\) \([ \, ]\)\(H_1:\) \([ \, ]\)This hypothesis test is a \((\text{Choose one} \, \blacktriangledown)\) test.**Graph/Diagram Explanation:**The diagram includes symbols for forming inequalities and tests, specifically for the hypotheses \(H_0\) and \(H_1\):- Option symbols such as \(<\), \(>\), \(\leq\), \(\geq\), \(=\), and \(\neq\).- A variable \(p\) indicating the proportion.Users are required to select the appropriate symbols to fill in the null and alternate hypotheses.

Given Data: p = 0.73 x = 45 n = 70 alpha = 0.05

Answered: Tweet tweet: An article reported that…

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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how does increasing the sample size influence the size of the t statistic in a hypothesis test. How does it influence the width of a 95% confidence level?
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1008 Chevrolet owners and found that 487 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p > 0.47; H1: p = 0.47H0: p = 0.47; H1: p ≠ 0.47 H0: p = 0.47; H1: p < 0.47H0: p = 0.47; H1: p > 0.47 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find the P-value of the test statistic. (Round your answer to four…
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A researcher goes to a local park to see how many people are wearing face masks. She counts 37 women in the park, of whom 24 are wearing face masks, while 14 out of 30 men are wearing face masks. Can she say that there is a significant difference of the percent of each gender who wears masks? (Use α = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:
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