Answer:38
Step-by-step explanation:
triangle=3*1=3
decagon=10*1=10
pentagon=5*5=25
3+10+25=38
Part a)
p = population proportion of correct guesses
Null Hypothesis: p = 0.5
Alternative Hypothesis: p > 0.5
The claim that people can tell the difference of the two drinks is in the alternative hypothesis p > 0.5 meaning that it's more than just luck at play here. Saying p = 0.5 is basically saying there's a coin toss to determine the guess.
x = 53, n = 80
phat = x/n = 53/80 = 0.6625
SE = sqrt(p*(1-p)/n) = sqrt(0.5*(1-0.5)/83) = 0.05488212999484
z = (phat-p)/(SE)
z = (0.6625-0.5)/(0.05488212999484)
z = 2.96089091322218
z = 2.96
Use a table or calculator to find that
P(Z < 2.96) = 0.9985
So,
P(Z > 2.96) = 1-P(Z < 2.96)
P(Z > 2.96) = 1-0.9985
P(Z > 2.96) = 0.0015
The p-value is approximately 0.0015. This value is less than many alpha values commonly used (such as 0.01 or 0.05) so we reject the null hyptohesis that p = 0.5 and accept that p > 0.5 is true. So the participants aren't randomly guessing. The results are significantly better than random guesses.
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Part b)
The p value 0.0015 is the probability of observing 53 or more claims out of 80 claims, under the assumption that the null hypothesis is true. This p value is very very small, so there is a small chance that the null hypothesis is correct. The smaller the p value, the more likely we reject the null. The general rule is that if the p value is smaller than the significance level alpha, we reject the null. Your textbook will state what alpha is equal to. If not, then the default is alpha = 0.05
It means that everything the business took in was $419.18 less than everything it spent to be in business during the same period of time.
It doesn't tell you what either of those amounts was. Just the difference between them.
Answer: $108.75
Step-by-step explanation: 18.50+3.25=21.75 Per Person 21.75x5=108.75