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Some people who bought X-Game gaming systems complained about having received defective systems. The industry standard for such systems has been ninety-eight percent non-defective systems. In a sample of 120 units sold, 6 units were defective.



a.

Compute the proportion of defective items in the sample.

b.

Compute the standard error.

c.

At 95% confidence using the critical value approach, test to see if the percentage of defective systems produced by X-Game has exceeded the industry standard.

d.

Show that the p-value approach results in the same conclusion as that of part b.

Respuesta :

ramirezdamian160
The x game factor is a little more confusing but the Answer is 3 units
ashishdwivedilVT

a) The proportion of defective items in the sample is 1/20.

b)Standard error is 5%.

c)The percentage of defective systems equals the industry standard.

Total number of items = 120

Number of defective items = 6

What is a proportion?

A proportion is an equation in which two ratios are set equal to each other.

So, the proportion of defective items in the sample = 6/120 =1/20.

Standard error = (6/120)*100 = 5%

95% confidence =5 percentile

5 percentile = 5*120/100 = 6 i.e. 5% of total items

So, percentage of defective items = 5 percentile

Hence, a) The proportion of defective items in the sample is 1/20.

b)Standard error is 5%

c)The percentage of defective systems equals the industry standard.

To get more about proportions visit:

https://brainly.com/question/870035

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