X + y = 12

A study by Consumer Reports showed that 64% of supermarket shoppers believesupermarket brands to be as good as national brands.

Elina [12.6K]

Answer:

$z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652$

The p value would be given by:

$p_v =P(z$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Step-by-step explanation:

Information given

n=145 represent the random sample taken

X=89 represent the number of people who believed the supermarket brand was as good as the national brand

$\hat p=\frac{89}{145}=0.614$ estimated proportion of people who believed the supermarket brand was as good as the national brand

$p_o=0.64$ is the value to test

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is less than 0.64, the system of hypothesis are.:

Null hypothesis: $p \geq 0.64$

Alternative hypothesis: $p < 0.64$

The statistic is given by:

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

Replacing the info we got:

$z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652$

The p value would be given by:

$p_v =P(z$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

5 0

2 years ago

A student has four sticks of wood that measures 3 inches, 4 inches, 5 inches, and 6 inches.Can the student use any three of thes

saw5 [17]

Answer:

Yes, the student can use three of these sticks to make a right triangle.

Step-by-step explanation:

The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.

Now, in a right angled triangle, by PYTHAGORAS THEOREM the three sides of the triangle base, perpendicular and hypotenuse are in the given following relation :

$(Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}$

Now, here among all four sticks

$(3)^{2} +(4)^{2} = 9 + 16 = 25$

and $25 = (5)^{2}$

So, there exists three sticks of length 3 in, 4 in and 5 inches which satisft Pythagoras Theorem , such that:

$(3)^{2} + (4)^{2} = (5)^{2}$

So, the required length sticks are 3 inches, 4 inches and 5 inches.

Hence, the student use three of these sticks to make a right triangle.

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2 years ago

In the figure above, triangle ABC is similar to<br> triangle DEF. What is the value of cos(E)?

Effectus [21]

Answer:

Answer is 12/13 B

Step-by-step explanation:

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2 years ago

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If ⅔ part of a land cost Rs 45000 find the cost of ⅘ part of land

Vika [28.1K]

Answer:

GG from Shahs I am not a good time to meet you and your company and the other side of the year and the other hand the year and a good time and money by simply beautiful day in the future of our lives to the other hand I

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2 years ago

Factor using the trinomial<br> 10.<br> X2 + 13x + 12

Rudik [331]

Answer:

Factoring the trinomial: $x^2+13x+12$ we get the factors $\mathbf{(x+1)(x+12)}$