A line extends from a side of a triangle. Which new angle is created by extending one side of a triangle? a remote interior angl
2 answers:
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Answer:
Altogether Gavin and Jim won £95.
Step-by-step explanation:
We are given the following in the question:
Ratio of money won by Gavin and Jim = 5:2
Gavin gets £39 more than Jim.
Let x be the amount of money Won by Jim.
Then, money won by Gavin =
Thus, we can write the equation:
Solving, we get,
Thus, Gavin won £65 and Jim won £26.
Money won altogether =
Thus, altogether Gavin and Jim won £95.
Answer:
a) Failed to reject the null hypothesis (P-value=0.09).
b) The 95% CI for the difference in proportions is:
Step-by-step explanation:
a) We have to perform a hypothesis test for the difference of proportions.
The null and alternative hypothesis are:
The significance level is 0.05.
The proportion of the passenger cars owners is:
The proportion of commercial truck owners is:
The weigthed average p is
The estimated standard deviation is
We can calculate the z-value as:
The P-value for z=-1.362 is P=0.0866.
The P-value (0.09) is greater than the significance level (0.05), so it failed to reject the null hypothesis. There is no enough evidence to prove that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
b) We can construct a 95% CI, according to the significance level of 0.05.
The z-value for this CI is 1.96.
We have to recalculate the standard deviation:
The lower limit is then:
The upper limit is:
The 95% CI for the difference in proportions is:
In this case, we can conclude that the difference between the proportions, with 95% confidence, can still be equal or greater than zero, meaning that it is possible passenger car owners violate laws more than truck owners.