Sandy has 16 roses,8daisies,and32 tulips.She wants to arrangee all the flowers in bouguets.Each bouguet has the same number of f
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Answer:
No, there is not enough evidence at the 0.02 level to support the strategist's claim.
Step-by-step explanation:
We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.
And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;
Null Hypothesis, : p = 0.54 {means that the percentage of residents who favor construction is 54%}
Alternate Hypothesis, : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, p = actual percentage of residents who favor construction = 0.54
= percentage of residents who favor construction in a sample of
1300 voters = 0.57
n = sample of voters = 1300
So, Test statistics =
= 2.185
Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.
Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.
Given: It is given that the length of the painting is 24 inches and the width is 11 inches.
To find: Area of the mat
Solution:
The watercolor painting is 24 inches long by 11 inches wide.
So, the area of the painting is:
The length of painting with mat is = 24 in + 3 in + 3 in = 30 in
The width of painting with mat = 11 in + 3 in + 3 in = 17 in
Now to calculate the area of mat subtracts the area of painting from the area of the mat.
Hence, the area of the mat is 246 in².