In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: "Should Americans replace passwords with biometric security (fingerprints, etc)?" Among the respondents, 53% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.Number and Proportiona. Identify the actual number of respondents who answered "yes."b. Identify the sample proportion and the symbol used to represent it.

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, α = 0.05.

The hypothesis can be defined as follows:  

H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.  

Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.  

The information provided is:

[tex]n = 510\\\hat p=0.53[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

    [tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 [tex]p-value=P(Z>1.35)[/tex]

                 [tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]

p-value = 0.088 > α = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Ernie worked at his job on Saturday and Sunday last weekend, earning $14 per hour. His
sister, Perla, also worked on the weekend and earned a total of $126.
If Ernie and Perla earned the same amount of money at their jobs last weekend, how many
hours did Ernie work?

Your goal is to save $50. So far, you have saved $34. How much more money do you need to save? Write your answer as a rational number.

The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?

Solve: -19x- 1 = -12x + 34

The daily high temperatures in a vacation resorts in approximately normal, with a mean temperature of 75 Fahrenheit and a standard deviation of 6 degrees. What percentage of days have a high temperature between 66 and 88?
A.17.01%
B.35.62%
C.64.37%
D.72.99%

2.5 puzzle time Which month has 28 days

Which are removable discontinuities?
x = -2
x = -2 and x = 0
x = 0 and x = 4
x = -2, x = 0, and x = 4

A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.

How do we shift the graph of y=f(x) to get the graph of y = f(x) +5?
A Move the graph down by 5 units.
B Move the graph up by 5 units.

What’s the rule it’s algebra 1

Help me please math is a pain...

841/4 how much is it

(x² + 4x – 22) + (x + 6)

It costs $3.45 to buy3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning. l​

1. A pitched roof is built with a 1:3 ratio of rise to span. If the rise of the roof is 10 meters, what is the span

2) -9u-17 = -5u -7

Yallll help meeeI’ve been stuck

18. Simplify the following expression: 35+ (-13) + (+8) -(-6).
O A.50
O B. 24
O C.44
O D.36

find the missing
number
+ 16 = 28​

if f(x) = 6(x - 2)3 + 5, what is the y- intercept?​

what is the slope of the line that contains these points? please help

Sarah traveled 145 miles in
2.5 hours. How fast was
Sarah driving?
Ma

Evaluate using the order of operations. Enter the answer in simplest form.
3/5+1/7÷3

What is the inverse of the function f(x) = 1/4x – 12?

h(x) = 48x – 4
h(x) = 48x + 4
h(x) = 4x – 48
h(x) = 4x + 48

Round off the following numbers to 2 significant figures.
156

In each case below, we describe a study to determine whether exercise helps increase certain mood enhancing chemicals in the brain. Indicate whether each describes an experiment or an observational study.
a). Using a random sample of 100 people, we randomly assign half of them to participate in a regular exercise program for a six-week period while the other half makes no changes. At the end of the time period, we measure the brain chemicals.
b). We contact a random sample of 100 people and record how much each person exercises and also measure the chemicals in the brain for each person.

Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
AAS Congruence Theorem

Whats the mean of 62,78,59and 89

What expression equals to 3^15

2(x + 7) + 3x = 12 (given)
2x + 14 + 3x - 12 (?)
5x + 14 - 12 (simplify)
5x = -2 (subtraction)
x = -2/5(division)
What is the missing reason?
A)
Addition
B)
Subtraction
c)
Reflexive Property
D)
Distributive Property

Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators? (1 point) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level. Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level. Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1. Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.