Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15 rating? At the a = 0.01 level of significance, test the claim that SPF 30 sunscreen is better at preventing sunburn than SPF 15 sunscreen. Let p15 represent the proportion of SPF 15 sunscreen wearers who get a sunburn and p30 represent the proportion of SPF 30 sunscreen wearers who get a sunburn.(Round your results to three decimal places) Which would be correct hypotheses for this test? Ho:P15 < P30, H1:P15 > P30 O Ho:P15 = p30, H1:P15 > p30 O Ho:P15 = P30, H1: P15 P30 O Ho: P15 = P30, H1: P15 < P30 A random sample of 100 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour. 16 of them later reported a sunburn. Another random sample of 100 beach-goers were given SPF 30 sunscreen and asked to lay in the sun for 1 hour. 13 of them later reported a sunburn. Find the test statistic: Give the P-value: Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? O There is not significant evidence to suggest that SPF 30 sunscreen is better at preventing sunburns than SPF 15 sunscreen. O There is significant evidence to suggest that SPF 30 sunscreen is better at preventing sunburns than SPF 15 sunscreen.

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Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15
rating? At the a = 0.01 level of significance, test the claim that SPF 30 sunscreen is better at preventing
sunburn than SPF 15 sunscreen. Let pi5 represent the proportion of SPF 15 sunscreen wearers who get a
sunburn and p30 represent the proportion of SPF 30 sunscreen wearers who get a sunburn.(Round your
results to three decimal places)
Which would be correct hypotheses for this test?
O Ho:P15 < p30, H1:P15 > p30
O Ho: P15 = P30, H1: P15 > P30
O Ho:P15 = p30, H1: P15 7 P30
O Ho:P15 = P30, H1:P15 < P30
A random sample of 100 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour. 16
of them later reported a sunburn. Another random sample of 100 beach-goers were given SPF 30 sunscreen
and asked to lay in the sun for 1 hour. 13 of them later reported a sunburn. Find the test statistic:
Give the P-value:
Which is the correct result:
O Do not Reject the Null Hypothesis
O Reject the Null Hypothesis
Which would be the appropriate conclusion?
O There is not significant evidence to suggest that SPF 30 sunscreen is better at preventing sunburns
than SPF 15 sunscreen.
O There is significant evidence to suggest that SPF 30 sunscreen is better at preventing sunburns than
SPF 15 sunscreen.
Transcribed Image Text:Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15 rating? At the a = 0.01 level of significance, test the claim that SPF 30 sunscreen is better at preventing sunburn than SPF 15 sunscreen. Let pi5 represent the proportion of SPF 15 sunscreen wearers who get a sunburn and p30 represent the proportion of SPF 30 sunscreen wearers who get a sunburn.(Round your results to three decimal places) Which would be correct hypotheses for this test? O Ho:P15 < p30, H1:P15 > p30 O Ho: P15 = P30, H1: P15 > P30 O Ho:P15 = p30, H1: P15 7 P30 O Ho:P15 = P30, H1:P15 < P30 A random sample of 100 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour. 16 of them later reported a sunburn. Another random sample of 100 beach-goers were given SPF 30 sunscreen and asked to lay in the sun for 1 hour. 13 of them later reported a sunburn. Find the test statistic: Give the P-value: Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? O There is not significant evidence to suggest that SPF 30 sunscreen is better at preventing sunburns than SPF 15 sunscreen. O There is significant evidence to suggest that SPF 30 sunscreen is better at preventing sunburns than SPF 15 sunscreen.
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