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Data File 5: Statistical Hypothesis Testing: A Comprehensive Analysis of Proportions, Means, and Errors

Covers statistical hypothesis testing.

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Data File 5:Statistical Hypothesis Testing: A Comprehensive Analysis ofProportions, Means, and ErrorsData File 5Chapter NineShow all workProblem1)A skeptical paranormal researcher claims that the proportion of Americans that have seen aUFOis less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis fora test of significance.Here we want to test whether the statement made by the paranormal researcher is true or not thusthe null and alternative hypothesis are,𝐻0:𝑝β‰₯11000π‘Žπ‘›π‘‘π»π‘Ž:𝑝<11000Problem 2)At one school, the average amount of time that tenth-graders spend watching television eachweek is 18.4 hours. The principal introduces a campaign to encourage the students to watch lesstelevision. One year later, the principal wants to perform a hypothesis test to determine whetherthe average amount of time spent watching television per week has decreased. Formulate thenull and alternative hypotheses for the study described.Here the null and alternative hypotheses for the study are,𝐻0:ΞΌβ‰₯18.4π‘Žπ‘›π‘‘π»π‘Ž:ΞΌ<18.4Problem 3)A two-tailed test is conducted at the 5% significance level. What is the P-value required to rejectthe null hypothesis?We reject the null hypothesis if the p-value is smaller than the significance level thus here wewould reject the null hypothesis if p-value is smaller than 5% or 0.05.Problem 4)A two-tailed test is conducted at the 5% significance level. What is theright tail percentilerequired to reject the null hypothesis?

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