I NEED TO KNOW HOW TO GET THESE ANSWERS USING TI-84 PLUS CALCULATOR. Identify th

Question

I NEED TO KNOW HOW TO GET THESE ANSWERS USING TI-84 PLUS CALCULATOR.

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim.

ANSWER: H0: p = 0.03. H1: p > 0.03. Test statistic: z = 1.57. P-value: p = 0.0582. Critical value: z = 2.33. Fail to reject null hypothesis. There is not sufficient evidence to warrant rejection of the manager's claim that production is not really out of control.

Explanation / Answer

Solution:

Follow the steps below to solve the above problem using the TI-84 plus:

(1). Press STAT and press the right arrow twice time to select TESTS.

(2). We Use the down arrow to select 5:1-PropZTes and Press ENTER to select 5:1-PropZTes .

(3). Enter hypothesized proportion, number of favorable outcomes, x, sample size, n, and select the alternate hypothesis.

(4). And then we use down arrow to select Calculate and press ENTER.

Finally we get the results:

H0: p = 0.03. H1: p > 0.03. Test statistic: z = 1.57. P-value: p = 0.0582. Critical value: z = 2.33. Fail to reject null hypothesis. There is not sufficient evidence to warrant rejection of the manager's claim that production is not really out of control.

Cheers!!

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