A large toiletry distributor claims that 35% of all individuals who purchase toilet paper from the stores that carry its product choose original toilet paper, 28% choose sensitive toilet paper, 20% choose ultra-strong toilet paper, and 17% choose ultra-soft toilet paper. To investigate this claim, researchers collected data from a random sample of customers in a large city. The results were 170 packages of original, 105 sensitive, 80 ultra-strong, and 45 ultra-soft toilet paper purchases. Are the data from the sample consistent with the distributor's claim

Question

Mathematics

Ashton Miles

23 July, 01:30

A large toiletry distributor claims that 35% of all individuals who purchase toilet paper from the stores that carry its product choose original toilet paper, 28% choose sensitive toilet paper, 20% choose ultra-strong toilet paper, and 17% choose ultra-soft toilet paper. To investigate this claim, researchers collected data from a random sample of customers in a large city. The results were 170 packages of original, 105 sensitive, 80 ultra-strong, and 45 ultra-soft toilet paper purchases. Are the data from the sample consistent with the distributor's claim

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Rosa Porter · Answer 1

Step-by-step explanation:

Only a few of the data from the sample is consistent with the distributor's claim.

The total of the sample is 400.

From the calculations of proportion from each item in the sample, we have 43%, 26%, 20% and 11%.

This is not exactly consistent with the distributor's claim of 35%, 28%, 20% and 17%.

To further confirm and verify this, a test needs to be carried out and set to a significance level.