In the neighborhood of Silver Hills, the Hot Press Newspaper reports that residents (homes) per street purchase their newspaper.
1 answer:
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Answer:
B. There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.
Step-by-step explanation:
The following information has been availed;
n = 1501
sample proportion = 20% = 0.2
Level of significance = 0.01 = 1%
We are required to test the claim that less than 25% of the population believes that there is no solid evidence of global warming. In mathematical notation this claim can be written as;
p < 0.25, where p is the population proportion. From this information, we can formulate the following set of hypotheses;
H0: p ≥ 0.25
Ha: p < 0.25 (claim). This will be a left-tailed test.
The test statistic for hypothesis on population proportions is z, defined by the formula;
where p is the population proportion under the null hypothesis, that is p = 0.25.
Using the given information , the test statistic becomes;
The next step is to compute the p-value in our left-tailed test;
p-value = P(Z < -4.4736) = 0
Our p-value is less than the level of significance and thus we reject the null hypothesis in favor of the alternative hypothesis which is also our claim. The final conclusion is thus;
There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.
Answer:
Asim will need 84 stones to cover the path and it will cost £210.
Step-by-step explanation:
This question is incomplete, here is the complete question.
"Asim is going to cover the path with paving.Each paving stone is a square of side 30 cm.Each paving stone costs £2.50. How may paving stones will it take to cover the path and how much will they cost Asim to buy?
The diagram shows a rectangular garden path
The length is 630 cm
The width is 120cm"
Dimensions of the rectangular garden path = 630 × 120 cm
Area of the garden path = Length × Width
Area = 630 × 120 = 75,600 cm²
Each square paving stone has each side = 30 cm
Area of each paving stone = 30 × 30 = 900 cm²
The number of stones it will take to cover the path =
= 84 stones.
Cost of each paving stones = £2.50
Cost of 84 paving stones = 84 × 2.50
= £210
Asim will need 84 stones to cover the path and it will cost £210.