Question

Trydint" bubble-gum company claims that 9 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.

The null and alternative hypothesis in symbols would be:____________.
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9
The null hypothesis in words would be:_____________.
1. The proportion of all people that prefer Trydint gum is 0.9
2. The proportion of all people that prefer Trydint gum is greater than 0.9.
3. The proportion of people in a sample that prefer Trydint gum is not 0.9
4. The average of people that prefer Trydint gum is not 0.9.5. The proportion of all people that prefer Trydint gum is less than 0.9.6. The average of people that prefer Trydint gum is 0.9.7. The proportion of people in a sample that prefers Trydint gum is 0.9.

Answer 1

H0: p = 0.9

H1: p ≠ 0.9

1. The proportion of all people that prefer Trydint gum is 0.9

Explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The null hypothesis is that the proportion of all people that prefer Trydint gum is 0.9.

H0: p = 0.9

The alternative hypothesis is that the proportion of all people that prefer Trydint gum is not equal to 0.9.

H1: p ≠ 0.9

Answer 2

The null and alternative hypothesis in symbols would be:H0:μ=0.9

H1:μ≠0.9,

The null hypothesis in words would be:_____________.

1. The proportion of all people that prefer Trydint gum is 0.9

Explanation:

The Null hypothesis should always be precise such as the given coin is biased. The null hypothesis is assigned a numerical value.

For example the average height of all students in a college is 62 inches. Symbolically it is written as :H0:μ=62

An alternative hypothesis is any other hypothesis which we accept when the null hypothesis is rejected.If the null hpothesis of the height of students is :H0:μ=62 then alternative hypothesis is H1:μ≠ 62