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1) In 2014, the percentage of households that owned a 4K TV was found to be 18%. Using a sample of 300 households in which 60 of them owned a 4K TV, do we have sufficient evidence that the percentage of households with a 4K TV has increased? Use a level of significance of 0.10.

Respuesta :

Hello there. To solve this question, we need to calculate the percentage of households that owns a 4K TV with the values given in the sample and compare with the other percentage to see if the value has increased.

Using that sample of 300 households, in which 60 of them owns a 4K TV, we get that the percentage will be calculated by the ratio:

60/300

Simplify the fraction by a factor of 60

1/5

Multiply it by 100%

20%, equal to 0.20

In 2014, we had that percentage being equal to 18%, which is equal to 0.18

So, we do have sufficient evidence that the percentage of households satifying this situation have increased with the time.

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