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CARAT COLOR CLARITY CERT PRICE 0.3 D VS2 GIA 1302 0.3 E VS1 GIA 1510 0.3 G VVS1 GIA 1510 0.3 G VS1 GIA 1260 0.31 D VS1 GIA 1641 0.31 E VS1 GIA 1555...
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Question

Refer to the DIAMONDS data , data from a random sample of diamonds sold on the open market. We'd like to use the data to estimate p = proportion of all diamonds sold on the open market that are certified by the Gemological Institute of America (GIA).

Copy the data to a Minitab worksheet.

 Question 1 of 5 2.0 Points
Check the conditions necessary for the validity of the z-interval.

 Question 2 of 5 1.0 Points

Give the point estimate of p.

_____________(4 decimal places)

 Question 3 of 5 2.0 Points

Use Minitab to calculate a 99% confidence interval for p.  Use the appropriate method based on your sample size checks.

( _________ ,  _______ )    (6 decimal places)

 Question 4 of 5 3.0 Points

Interpret the confidence interval in the context of this problem.

 Question 5 of 5 3.0 Points

Explain what the phrase "99% confident" means in the context of this problem.

CARAT COLOR CLARITY CERT PRICE 0.3 D VS2 GIA 1302 0.3 E VS1 GIA 1510 0.3 G VVS1 GIA 1510 0.3 G VS1 GIA 1260 0.31 D VS1 GIA 1641 0.31 E VS1 GIA 1555 0.31 F VS1 GIA 1427 0.31 G VVS2 GIA 1427 0.31 H VS2 GIA 1126 0.31 I VS1 GIA 1126 0.32 F VS1 GIA 1468 0.32 G VS2 GIA 1202 0.33 E VS2 GIA 1327 0.33 I VS2 GIA 1098 0.34 E VS1 GIA 1693 0.34 F VS1 GIA 1551 0.34 G VS1 GIA 1410 0.34 G VS2 GIA 1269 0.34 H VS1 GIA 1316 0.34 H VS2 GIA 1222 0.35 E VS1 GIA 1738 0.35 F VS1 GIA 1593 0.35 G VS1 GIA 1447 0.35 H VS2 GIA 1255 0.36 F VS1 GIA 1635 0.36 H VVS2 GIA 1485 0.37 F VS2 GIA 1420 0.37 H VS1 GIA 1420 0.4 F VS1 GIA 1911 0.4 H VS1 GIA 1525 0.41 F VS1 GIA 1956 0.43 H VVS2 GIA 1747 0.45 I VS1 GIA 1572 0.46 E VVS2 GIA 2942 0.48 G VVS2 GIA 2532 0.5 E VS1 GIA 3501 0.5 E VS1 GIA 3501 0.5 F VVS2 GIA 3501 0.5 F VS1 GIA 3293 0.5 G VS1 GIA 3016 0.51 F VVS2 GIA 3567 0.51 G VS1 GIA 3205 0.52 D VS2 GIA 3490 0.52 E VS1 GIA 3635 0.52 F VVS2 GIA 3635 0.52 F VS1 GIA 3418 0.53 D VS1 GIA 3921 0.53 F VVS2 GIA 3701 0.53 F VS1 GIA 3480 0.53 G VVS2 GIA 3407 0.54 E VS1 GIA 3767 0.54 F VVS1 GIA 4066 0.55 E VVS2 GIA 4138 0.55 F VS1 GIA 3605 0.55 G VVS2 GIA 3529 0.56 F VS1 GIA 3667 0.56 I VVS2 GIA 2892 0.57 G VVS2 GIA 3651 0.59 G VVS2 GIA 3773 0.6 F VS1 GIA 4291 0.62 E VVS1 GIA 5845 0.63 G VVS2 GIA 4401 0.64 G VVS1 GIA 4759
0.66 H VVS1 GIA 4300 0.7 F VS1 GIA 5510 0.7 G VS1 GIA 5122 0.7 H VVS2 GIA 5122 0.7 I VS2 GIA 3861 0.71 F VVS2 GIA 5881 0.71 F VS1 GIA 5586 0.71 F VS2 GIA 5193 0.71 H VVS2 GIA 5193 0.72 F VS2 GIA 5263 0.8 I VVS2 GIA 5441 0.82 I VS2 GIA 4948 0.84 H VS2 GIA 5705 0.85 F VS2 GIA 6805 0.86 H VVS2 GIA 6882 0.89 H VS1 GIA 6709 0.9 I VVS2 GIA 6682 0.5 E VS1 GIA 3501 0.5 G VVS1 GIA 3432 0.51 F VVS1 GIA 3851 0.55 H IF GIA 3605 0.56 E VS1 GIA 3900 0.57 H VVS1 GIA 3415 0.6 H IF GIA 4291 0.63 E IF GIA 6512 0.7 E VS1 GIA 5800 0.7 F VVS1 GIA 6285 0.7 F VS2 GIA 5122 0.7 F VS2 GIA 5122 0.7 G VS1 GIA 5122 0.7 H VVS2 GIA 5122 0.71 D VS1 GIA 6372 0.71 E VS1 GIA 5881 0.71 H VVS2 GIA 5193 0.72 E VS1 GIA 5961 0.72 H VVS1 GIA 5662 0.73 E VS2 GIA 5738 0.73 H VS1 GIA 5030 0.73 H VS1 GIA 5030 0.73 I VVS1 GIA 4727 0.73 I VS1 GIA 4221 0.74 G VVS2 GIA 5815 0.74 H VS2 GIA 4585 0.75 D VVS2 GIA 7368 0.75 I VVS2 GIA 4667 0.75 I VS1 GIA 4355 0.76 D IF GIA 9885 0.77 F VVS1 GIA 6919 0.78 H VS1 GIA 5386 0.8 I VS2 GIA 4832 0.83 E VS2 GIA 7156 0.9 F VS1 GIA 7680 1 D VVS1 GIA 15582 1 D VS1 GIA 11419 1 E VS1 GIA 10588 1 E VS2 GIA 9757 1 F IF GIA 13913 1 F VVS2 GIA 10588 1 F VS1 GIA 10713 1 F VS2 GIA 9480 1 G VVS2 GIA 9896 1 G VS1 GIA 9619 1 G VS2 GIA 9169 1 G VS2 GIA 9203
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