Conclusion is that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.

Step-by-step explanation:

We are given;

Population proportion; p = 60% = 0.6

Sample mean: x¯ = 315

Sample size; n = 500

Significance level = 0.09

Defining the hypothesis, we have;

Null Hypothesis; H0: p = 0.6

Alternative hypothesis; Ha: p > 0.6

z-score formula in this case is;

z = (x¯ - np)/√(np(1 - p))

Plugging in the relevant values;

z = (315 - (500 × 0.6))/√(500 × 0.6(1 - 0.6))

z = 1.72

From z-distribution table, the p-value at z = 1.72 is;

1 - P(Z ≤ z-score)

This gives:

p-value = 1 - 0.95728 = 0.04272

Thus p-value is less than the significance level of 0.09, thus we will reject the null hypothesis and conclude that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.

6 0

3 years ago

Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

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Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 9, d = 8 in the equation

$\:a_n=9+8n-8$

$a_n=8n+1$

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

6 0

3 years ago