Which situation involves a change modeled by a positive number but an end result modeled by a negative number? A.Leo enters an e
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There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
<h3>What are null hypotheses and alternative hypotheses?</h3>In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
It Is said That 60% of families own a pet.
Of a sample of 95 families, 70 owned pets.
Whether the percent of families who own pets is different than 60%.
Let P be a proportion of the family who owns pets
Then by the test, we have
H₀: P = 0.60
Hₐ: P ≠ 60
Then by the test statistic, we have
Where
= sample proportion
P₀ = hypothesis proporion
n = sample size
Then we have
= x/n
= 70/95
= 0.74
Then the test statistic will be
z₀ = 2.785
Then the critical region will be
Critical value = ±
α = 0.05
α/2 = 0.025
Then we have
z₀.₀₂₅ = 1.96
Then the critical value will be
Critical value = ± 1.96
We reject if
We have
2.79 > 1.96
We reject the null hypothesis at a 5% significance level.
There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
More about the null hypotheses and alternative hypotheses link is given below.
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Answer:
The final expression will be
Step-by-step explanation:
We have given expression
We know the property of exponent that when there is exponent to exponent then both exponent are multiplied with each other
So
Now again there is property of exponent that when there is multiplication of two function then exponent will be added
So
So the final expression will be