Math help What are the solutions

musickatia [10]

Answer is 0.31. Hope this helps.

6 0

3 years ago

A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac

Reptile [31]

Answer:

Null hypothesis: $p=0.4$

Alternative hypothesis: $p \neq 0.4$

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

$\hat p=\frac{81}{144}=0.5625$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to verify

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.: Null hypothesis:[tex]p=0.4$

Alternative hypothesis: $p \neq 0.4$

the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0

3 years ago

A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a. <br> Pls

ZanzabumX [31]

Answer:

It passes through the point (3,4). Given that the center of the circle is the point (0,0). We know that the equation of the circle is given by : (x-a)^2 + (y-b)^2 = r^2 where (a,b) is the center and r is the radius.

6 0

3 years ago

Read 2 more answers

Peter processed two catering orders at the sandwich shop where he works. The first order was for 7 trays of club sandwiches and

timama [110]

So if one tray of vegetarian sandwiches cost $10, that means that 10 trays of vegetarian sandwiches would cost $100 (10x10)

Going back to the first order, if we know that 10 trays of vegetarian sandwiches costs $100, then we can subtract that from our overall of $149, leaving us with the cost of 7 trays of club sandwiches

$149 - $100 = $49

therefore, $49 is the cost of 7 trays of club sandwiches

to find the cost of 1 tray, we need to divide $49, by 7

$49 / 7 = $7

therefore, one tray of club sandwiches costs $7 and one tray of vegetarian sandwiches costs $10

hope that was helpful :)

4 0

3 years ago

37. A square has an area of 75 square meters.

alina1380 [7]

Answer:

C. 8.7 meters will be closest length

3 0

3 years ago

Math help What are the solutions​

Math help What are the solutions