Answer:
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
Step-by-step explanation:
The value of the chi-square test statistic was 7.82 and the p- value is 0.02. This means that if the null hypothesis were true there is a 2 percent chance of obtaining a chi square value of at least 7.82
The p- value is defined as obtaining the test statistic under H0 as extreme as observed.
When the p- value is less than 0.05 in the chi square goodness fit test it means that the null hypothesis is rejected.
There fore option C is the best answer.
A)There is a 2 percent chance that the company's claim is correct.
B) There is a 2 percent chance of obtaining a chi-square value of at least 7.82.
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
D) If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.
E) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.
The accuracy in the research done by university is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.
Given sample size of 58205 and proportion of people donated 576. Cutoff is 0.5.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.
TP=total people donated in sample, TN=total number of people,FP=donation,FN=No donation
Accuracy is calculated as under:
=(TP+TN)/(TP+TN+FP+FN)
=(268+23439)/(238+23439+5375+20)
=23707/29102
=0.81
Accuracy=0.81
Sensitivity is calculated as under:
=TP/(TP+FN)
=268/(268+20)
=268/288
=0.93
Precision is calculated as under:
=TP/(TP+FP)
=268/(268+5375)
=268/5643
=0.047
Their values are the probabilities in itself.
Hence accuracy is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.
Learn more about probability at brainly.com/question/24756209
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The restaurant would make 88cents in profit if one egg cost 11cents and they sold on scrambled egg for 99 cents.
Answer:
160 dollars
Step-by-step explanation:
So you would add 6.19 and 9.81 together. Then divide it by 2. You would get 8. Then multiply it by 20 and you would get 160 dollars
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
