Please help me!!! Please give me the right answer.. Please...... Assignment#1 In

Question

Please help me!!! Please give me the right answer.. Please......

Assignment#1 Instruction.

1) When performing a hypothesis test, you must state the null and alternate hypotheses (S1), calculated value of the test statistic (S2), the level of significance and the critical value (S3), and your decision to reject or not to reject the null hypothesis based on the critical value (S4) and/or the p-value (S5), and your conclusion in managerial terms.

2) If the level of significance, LS, is not specified, then assume it is 5%.

Question.

In newly designed and fabricated computer microprocessor chips, 2.5% of the chips could be defective. In a sample of 50 such microprocessors, it is found that 4 microprocessors are defective. Does this indicate that the true population proportion of defective microprocessor chips is more than 3%? (Hint: Calculate the p-Value to reach your conclusion). Caveat: Do not simply use any approximation indiscriminately.

Explanation / Answer

Test statistic: One Group Proportion

p-value=P(z>2.075)=1-P(z<2.075)=1-0.981=0.019
Significance level()=0.05
As,p-value<0.05,We reject the null hypothesis i.e. H0:p=0.03 and we accept the alternate hypothesis i.e. Ha: p>0.03.
Hence, We conclude that true population proportion is greater than 0.03.
Z-tests and Z-intervals for One proportion on Minitab:
To calculate a confidence interval and perform a hypothesis test for a single population proportion when you have summarized data:
Select Stat. Select Basic Statistics. Select 1 Proportion.
Click on the button in front of Summarized data. Type in n, the number in the random sample, in the box labeled Number of trials. Type in X, the number of successes, in the box labeled Number of successes.
Click on Options... In the box after Confidence Level, type your desired confidence level. In the box after Test Proportion, specify the value of the proportion in your null hypothesis. Under Alternative, select the desired direction of your alternative hypothesis. Click on box before Use test and interval based on normal distribution. Select OK.
Select OK. The output will appear in the Session Window.
Test and Confidence Interval for One Proportion

Test of p = 0.03 vs p > 0.03

Sample X N Sample p Z-Value P-Value
1 4 50 0.08 2.075 0.019

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