5. The following are the outputs from a TI-83 after a hypothesis test was performed on the calculator. Answer the questions relating to the hypothesis test performed. Assume that all tests are to be performed at the 5% significance level unless you are told otherwise. 1-PropZTest Would you reject H0 ? EXPLAIN why or wh not. prop<.052 Z = -1.429961766 %3D p = .076364042 p = . 04 n = 700 What were the null and alternative hypothesis for this test? What were the values of x and n used to calculate p?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The outputs from a TI-83 after performing a hypothesis test are shown below. Answer the following questions while assuming all tests are carried out at a 5% significance level unless stated otherwise.

**1-PropZTest:**

- Would you reject \(H_0\)? Explain why or why not.
  - prop < 0.052
  - z = -1.429961766
  - p = 0.076364042
  - \(\hat{p} = 0.04\)
  - n = 700

- What were the null and alternative hypotheses for this test?

- What were the values of x and n used to calculate \(\hat{p}\)?

**T-Test:**

- Would you reject \(H_0\)? Explain why or why not.
  - \(\mu > 100\)
  - t = 3.666666667
  - p = 2.5328946E-4
  - \(\bar{x} = 111\)
  - SX = 24
  - n = 64

- What were the null and alternative hypotheses for this test?

- Find a 95% confidence interval for \(\mu\).

**Question:**

True or False? Explain your answer. It is not sufficient to just answer true or false.

- When performing a hypothesis test, if we get a p-value of 0.316, we have proven that the null hypothesis is true.
Transcribed Image Text:The outputs from a TI-83 after performing a hypothesis test are shown below. Answer the following questions while assuming all tests are carried out at a 5% significance level unless stated otherwise. **1-PropZTest:** - Would you reject \(H_0\)? Explain why or why not. - prop < 0.052 - z = -1.429961766 - p = 0.076364042 - \(\hat{p} = 0.04\) - n = 700 - What were the null and alternative hypotheses for this test? - What were the values of x and n used to calculate \(\hat{p}\)? **T-Test:** - Would you reject \(H_0\)? Explain why or why not. - \(\mu > 100\) - t = 3.666666667 - p = 2.5328946E-4 - \(\bar{x} = 111\) - SX = 24 - n = 64 - What were the null and alternative hypotheses for this test? - Find a 95% confidence interval for \(\mu\). **Question:** True or False? Explain your answer. It is not sufficient to just answer true or false. - When performing a hypothesis test, if we get a p-value of 0.316, we have proven that the null hypothesis is true.
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