Smith is a weld inspector at a shipyard. He know from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be at substandard. Smith checks 7500 shifts completed that shift and finds that 300 of them are substandard. Find the sample proportion.

Question

Smith is a weld inspector at a shipyard. He know from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be at substandard. Smith checks 7500 shifts completed that shift and finds that 300 of them are substandard. Find the sample proportion.

Answer 1

P-hat = x/n=300/7500= .04

Answer 2

To find the sample proportion, we need to calculate the proportion of substandard welds in the sample.

The proportion is calculated by dividing the number of substandard welds by the total number of shifts checked. In this case, the number of substandard welds is 300, and the total number of shifts checked is 7500.

So, the sample proportion can be calculated as:

Sample Proportion = Number of Substandard Welds / Total Number of Shifts

Sample Proportion = 300 / 7500

Now, let's calculate the sample proportion:

Sample Proportion = 0.04