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lanc3r3vo
03.11.2020 •
Mathematics
The current advertising campaign for a major soft drink brand would be changed if less than 30 percent of the consumers like it. A random sample of 300 consumers was surveyed, and 84 respondents indicated that they liked the campaign, equivalent to 28%. What are the null and alternative hypothesis? If the test-statistic is calculated to be -0.7407, at significance level of 5% with critical value of 1.64, can we reject the null and say we should the campaign be changed?
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Ответ:
The null and alternative hypotheses are;
Null hypothesis; H0: p ≥ 0.3
Alternative hypothesis; Ha: p < 0.3
The conclusion of the hypotheses is that; We reject the null hypothesis and conclude that;
The current advertising campaign for the major soft drink brand should be changed.
We are given;
Population proportion; p' = 30% = 0.3
Sample proportion; p = 28% = 0.28
Sample size; n = 300
Thus;
Null hypothesis; H0: p ≥ 0.3
Alternative hypothesis; Ha: p < 0.3
We are not given the standard deviation and so the formula for z-score here is;z = (p' - p)/(√(p(1 - p)/n)
We are told the test statistic is calculated as z = -0.7407This z-value is less than the critical value of 1.64.This means that our calculated z-score falls to the left of the rejection region and as such we will reject the null hypothesis and conclude that;
The current advertising campaign for the major soft drink brand should be changed.
Read more on hypotheses testing at;link
Ответ:
|Z| = | -0.747 | = 0.747 < 1.64 at 5% level of significance
Null Hypothesis is accepted at 5% level of significance
The current advertising campaign for a major soft drink brand would be changed if less than 30 percent of the consumers like it and not be changed
Step-by-step explanation:
Step(i):-
Given Population proportion P = 30 percentage
P = 0.30
sample proportion
Null Hypothesis :-
P = 0.30
Alternative Hypothesis:-
P ≠ 0.30
Step(ii):-
Test statistic
Z = -0.747
|Z| = | -0.747 | = 0.747
tabulated value Z = 1.64 at 5% level of significance
|Z| = | -0.747 | = 0.747 < 1.64 at 5% level of significance
Null Hypothesis is accepted at 5% level of significance
The current advertising campaign for a major soft drink brand would be changed if less than 30 percent of the consumers like it.
Ответ:
b. 54
Step-by-step explanation:
45 is original perimeter for ABC. You subtract 16 and 9 from 45 to get the missing side B which is 20. To answer the the perimeter for triangle CRB you add 20 to the other sides which is 15 and 19. The total is 54.