How many unit angles does the smaller angle of a tan pattern block turn through?

A computer manufacturer ships laptop computers with the batteries fully charged so that customers can begin to use their purchas

Nataly_w [17]

Answer:

The p value obtained and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.

Step-by-step explanation:

1) Data given and notation n

n=100 represent the random sample taken

X=96 represent the laptop's arrived with fully charged batteries.

$\hat p=\frac{96}{100}=0.96$ estimated proportion of laptop's arrived with fully charged batteries.

$p_o=0.85$ is the value that we want to test

$\alpha=0.05$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the new model’s rate is at least as high as the previous model.:

Null hypothesis: $p \leq 0.85$

Alternative hypothesis: $p > 0.85$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.96 -0.85}{\sqrt{\frac{0.85(1-0.85)}{100}}}=3.08$

4) Statistical decision

P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level is not provided, but we can assume $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =P(z>3.08)=0.0010$

So based on the p value obtained and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.

4 0

2 years ago

Arthur is conducting a study on the preferred study options of students from East County College. He randomly selected 32 studen

maksim [4K]

The sample size of the confidence interval test of a proportion is considered appropriately large if np and n(1 - p) > 5.

Given that Arthur is conducting a study on the preferred study options of students from East County College and that 25% of those surveyed preferred studying abroad. Thus, p = 25% = 0.25 and 1 - 0.25 = 0.75

np = 32(0.25) = 8

n(1 - p) = 32(0.75) = 24

Thus, the sample size is appropriately large.

The margin of error is given by:

 $\pm z_{ \alpha /2} \sqrt{ \frac{p(1-p)}{n} }$

The $z_{ \alpha /2}$ for 95% confidence interval is 1.96

Thus, the margin of error is given by:

$\pm1.96 \sqrt{ \frac{0.25(1-0.25)}{32} } =\pm1.96 \sqrt{\frac{0.25(0.75)}{32}} \\ \\ =\pm1.96 \sqrt{ \frac{0.1875}{32} } =\pm1.96 \sqrt{0.005859375} \\ \\ =\pm1.96(0.0765)=\pm0.15$

Therefore, the statement that holds true is "as the sample size is appropriately large, the margin of error is ±0.15".

8 0

2 years ago

In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one and one ( if he makes

Anna11 [10]

Situations:
1) he makes 1st shot + he makes 2nd shot
P(A) = 0.4 · 0.4 = 0.16 ( 16 % )
2) he makes 1 st shot + he misses 2nd shot
P(B) = 0.4 · 0.6 = 0.24 ( 24 % )
3) he misses 1st shot and he has no more attempts
P (C) = 0.6 ( 60 %)
0.16 · 2 + 0.24 · 1 + 0.6 · 0 = 0.32 + 0.34 = 0.56
The expected value is 0.56 points.

6 0

2 years ago

Read 2 more answers

A turtle walks 7/8 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?

yKpoI14uk [10]

Answer:

21/20

Step-by-step explanation:

a) One hour is equivalent to 60 minutes.

So we can multiply 50 minutes by the fraction $\frac{1 hour}{60 minutes}$ , so we could convert 50 minutes to hours.