Help me with this please.

In a recent Dunkin Donuts (DD) commercial, it states that 58% of Americans prefer to drink their coffee. Of the five hundred ran

Sergio [31]

Answer:

We conclude that the proportion of Americans who prefer to drink DD coffee is actually more than what was advertised.

Step-by-step explanation:

We are given that in a recent Dunkin Donuts (DD) commercial, it states that 58% of Americans prefer to drink their coffee.

Of the five hundred randomly selected people who were asked if they preferred DD coffees, 325 said they did.

Let p = proportion of Americans who prefer to drink DD coffee

SO, Null Hypothesis, $H_0$ : p $\leq$ 58% {means that the proportion of Americans who prefer to drink DD coffee is actually less than or equal to what was advertised}

Alternate Hypothesis, $H_A$ : p > 58% {means that the proportion of Americans who prefer to drink DD coffee is actually more than what was advertised}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of people who prefer to drink DD coffee in a sample of 500 people = $\frac{325}{500}$ = 65% or 0.65

n = sample of people = 500

So, test statistics = $\frac{0.65-0.58}{{\sqrt{\frac{0.65(1-0.65)}{500} } } } }$

= 3.282

Now at 0.05 significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the proportion of Americans who prefer to drink DD coffee is actually more than what was advertised.

6 0

3 years ago

The range of F(x) = logbx is the set of all positive real numbers.

shtirl [24]

Answer:

The range of F(x) = logbx is the set of all positive real numbers is TRUE

Step-by-step explanation:

Given:

A function which logarithmic i.e F(x)=logbX=logx/logb with base 10

To Find;

Range belongs to All set are positive real numbers.

Solution:

The domain is function for which all set of inputs are defined and range for function is that set of all output that functions takes.

So Simple logarithmic function y=logbX is

$X=b^y$

So The functions has domain of all real values and range set of all real number.

In general the function F(x) = logbx where X>0 and b≠1 is continuous and one to one function.

logarithmic function is not defined for negative numbers or for zero.

And Also function approaches y-axis as x-tends to infinity but never touches the it.

Hence the Given statement is true

7 0

4 years ago

Please help!! im very bad at math

Romashka [77]

Answer:

The expression was rewritten using the associative property. (6·3) · 2 equals 18 · 2, which equals 36.

6 · (3·2) equals 6 · 6, which equals 36.

3 0

3 years ago

Which equations for the measures of the unknown angles x and y are correct? Check all that apply. x = cos–1(StartFraction a Over

Dvinal [7]

the answers are:

b. x = sin -1 (c/b)

c. x = tan -1 (c/a)

e. x = cos -1 (c/b)

8 0

3 years ago

Someone helpp commonn

vitfil [10]

Answer:

Step-by-step explanation:

⁷

3 0

3 years ago