The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take
2 answers:
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Answer:
square kilometers
Step-by-step explanation:
The surface area of a sphere can be found using the formula . Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.
The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base.
Answer:
There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (P-value = 0.01537).
Step-by-step explanation:
<em>The question is incomplete: the picture attached gives the missing sample data.</em>
This is a hypothesis test for the difference between proportions.
The claim that is going to be stated in the alternative hypothesis is that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent. This means that the proportions differ significantly.
Then, the null and alternative hypothesis can be written as:
The significance level is 0.05.
The sample 1 (Male celebrity), of size n1=150 has a proportion of p1=0.273.
The sample 2 (Female celebrity), of size n2=150 has a proportion of p2=0.407.
The difference between proportions is (p1-p2)=-0.133.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.01537) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (the proportions differ).
