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Mrac [35]
3 years ago
5

NO LINKS

Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

y = 3.5X - 6921.2

Step-by-step explanation:

Given the data :

X :

1990

1992

1994

1996

1996

Y :

45

51

57

61

75

Using an online regression calculator ; the regression model obtained is : y = 3.5X - 6921.2

Where ; slope = 3.5 ; intercept = - 6921.2

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Answer:

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Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

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(a) Now, we are given alternate hypothesis, H_1 : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

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Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

             P-value = P(Z > 0.41) = 1 - P(Z \leq 0.41)

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Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

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Step-by-step explanation:

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