4. What is the p-value for this data? 5. What is your decision about the null hypothesis?:  Reject or  Fail to Reject? 6. Summarize the conclusion in the context of the problem.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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I NEED QUESTIONS 4-6 SOLVED, THE OTHER QUESTIONS ARE HERE FOR REFERENCE

 

To conduct a hypotheses test of a single proportion, select option 5:1-PropZTest. The null hypothesis is H0: p = p0. Enter the value of p0. The number of successes is designated by the value x. Enter the value. The sample size or number of trials is n. The alternate hypothesis will be prop ≠ p0, < p0, or > p0. Highlight the appropriate choice. Finally highlight Calculate and press ENTER. The Draw option is also available to show the results on the standard normal distribution.

 

For the following exercises, use the calculator to conduct the following hypothesis test.  Remember to use the correct test on the calculator.

Your Turn:

Women athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67%.  Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated.  Does this indicate that the population proportion of women athletes who graduate from the University of Colorado, Boulder, is now less than 67%?   

    1. State the null (H0) and alternative (Ha) hypotheses.

Null Hypothesis: H0 : P0 = 0.67

That is, there is no evidence to conclude that the population proportion of women athletes who graduate from the University of Colorado, Boulder, is now less than 0.67

Alternate Hypothesis: Ha: P0 < 0.67

That is, there is no evidence to conclude that the population proportion of women athletes who graduate from the university of Colorado, Boulder, is now less than 0.67




2. What are the confidence intervals for this data?

Between 0.3945 & 0.7107




3. What is the value of the test statistic?

The value of test statistic is -1.54




4. What is the p-value for this data?




5. What is your decision about the null hypothesis?: 

Reject or  Fail to Reject?




6. Summarize the conclusion in the context of the problem.

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