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In a head-to-head taste test of store-brand foods versus national brands, a company found that it was hard to find a taste difference in the two. If the national brand is indeed better than the store brand, it should have been judged as better more than 50% of the time but that conclusion could not be confirmed. However, if the store brand has a better taste than the national brand, then the store brand should be judged as better more than 50% of the time. Test the hypothesis that the store-brand has a better taste than the national brand.

Respuesta :

MrRoyal

Answer:

We fail to reject the null hypothesis.

There's no sufficient evidence to reject the claim that the national board is better than the store board

Step-by-step explanation:

There are some missing information in the question you posted.

They are: sample size, number of success and significance level.

The values of these are given below.

Given that

n = Sample Size = 35

x = Number of Success = 8

∝ = Significance level = 5% = 0.05

First we need to state the null and alternative hypothesis.

Given that proportion is more than 50%.

The claim is either null hypothesis or the alternative hypothesis.

The null hypothesis states that; the proportion is equal to the claimed value while that alternative hypothesis is the opposite of the null hypothesis.

See attachment for more explanation

Ver imagen MrRoyal

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