Perform a hypothesis test to determine if a significant positive correlation exists. Use alpha = 5%. a) State the null hypothesis: Ho: p=0 b) State the altermative hypothesis: Hai p>0 State the decision rule: c) Reject the null and accept the alternative when: 2.776 d) Fail to reject the null when: t-2.776 e) Calculate the sample correlation coefficient, r, to TWO decimals: 0.17 f) Is there a correlation? (Yes or No): yes

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A researcher working for the Sunglass Shack Corporation wants to investigate whether there is a significant positive correlation
between daily temperature and sunglasses sold at its Brooklyn location. The following data pairs represent some sample data collected:
Temperature (degrees F) Number of Sunglasses Sold
80
131
61
20
56
101
99
62
101
44
95
189
Perform a hypothesis test to determine if a significant positive correlation exists. Use alpha = 5%.
a) State the null hypothesis: Ho: p=0
b) State the alternative hypothesis: Ha: p>0
State the decision rule:
c) Reject the null and accept the alternative when: 2.776
d) Fail to reject the null when: t<2.776
e) Calculate the sample correlation coefficient, r, to TWO decimals: 0.17
f) Is there a correlation? (Yes or No): yes
Transcribed Image Text:A researcher working for the Sunglass Shack Corporation wants to investigate whether there is a significant positive correlation between daily temperature and sunglasses sold at its Brooklyn location. The following data pairs represent some sample data collected: Temperature (degrees F) Number of Sunglasses Sold 80 131 61 20 56 101 99 62 101 44 95 189 Perform a hypothesis test to determine if a significant positive correlation exists. Use alpha = 5%. a) State the null hypothesis: Ho: p=0 b) State the alternative hypothesis: Ha: p>0 State the decision rule: c) Reject the null and accept the alternative when: 2.776 d) Fail to reject the null when: t<2.776 e) Calculate the sample correlation coefficient, r, to TWO decimals: 0.17 f) Is there a correlation? (Yes or No): yes
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