# hypothesis testing - find critical value

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#1
A hotel owner in Cardiff is interested in what factors hotel guests think are important when staying at a hotel. From a hotel booking website he collects the ratings for ‘Cleanliness’,‘Location’, ‘Comfort’ and ‘Value for money’ for a random sample of 17 Cardiff hotels.(Each rating is the average of all scores awarded by guests who have contributed reviews using a scale from 1 to 10, where 10 is 'Excellent'.)The scatter graph showsthe relationship between ‘Value for money’ and ‘Cleanliness’for the sample of Cardiff hotels.

-shows a scatter graph with positive correlation-

The product moment correlation coefficient for ‘Value for money’ and ‘Cleanliness’ for the sample of 17 Cardiff hotels is 0.895. Stating your hypotheses clearly, test, at the 5% level of significance, whether this correlation is significant. State your conclusion in context.

I understand the process of getting the answer, it's just that I don't know how to get the critical value. It is 0.4821 but how is that the value?
Last edited by username2871748; 2 years ago
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2 years ago
#2
(Original post by kurro)
A hotel owner in Cardiff is interested in what factors hotel guests think are important when staying at a hotel. From a hotel booking website he collects the ratings for ‘Cleanliness’,‘Location’, ‘Comfort’ and ‘Value for money’ for a random sample of 17 Cardiff hotels.(Each rating is the average of all scores awarded by guests who have contributed reviews using a scale from 1 to 10, where 10 is 'Excellent'.)The scatter graph showsthe relationship between ‘Value for money’ and ‘Cleanliness’for the sample of Cardiff hotels.

-shows a scatter graph with positive correlation-

The product moment correlation coefficient for ‘Value for money’ and ‘Cleanliness’ for the sample of 17 Cardiff hotels is 0.895. Stating your hypotheses clearly, test, at the 5% level of significance, whether this correlation is significant. State your conclusion in context.

I understand the process of getting the answer, it's just that I don't know how to get the critical value. It is 0.4821 but how is that the value?
Looked up in tables / formula book.

17 observations, 5%, two-tailed.

Damn! TSR strikes again - it's reduced the size of the image!

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#3
(Original post by ghostwalker)
Looked up in tables / formula book.

17 observations, 5%, two-tailed.

Damn! TSR strikes again - it's reduced the size of the image!

Ahh I'm so stupid, i totally forgot about that table.
Thanks so much! 😁
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#4
(Original post by ghostwalker)
Looked up in tables / formula book.

17 observations, 5%, two-tailed.

Damn! TSR strikes again - it's reduced the size of the image!

This is an off-topic question but why can I not see your reps?
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2 years ago
#5
(Original post by kurro)
This is an off-topic question but why can I not see your reps?
'Cause I choose not to display them. It's an option in the profile.
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#6
(Original post by ghostwalker)
'Cause I choose not to display them. It's an option in the profile.
oh I see, thanks for the info
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