State the hypotheses. Ho: P ? Ha: P ? Calculate the test statistic. Round to four decimal places. p= Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value State your decision. O Since the p-value is less than .05, fail to reject Ho. Since the p-value is greater than .05, reject Ho.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Question
According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity
theft. In that year, Pennsylvania had 748 complaints of identity theft out of 3493 consumer complaints. Does
this data provide enough evidence to show that Pennsylvania had a higher proportion of identity theft than
20% ? Test at the 5% level.
State the hypotheses.
Ho: P ?
Ha: P ?
Calculate the test statistic. Round to four decimal places.
p=
Calculate the standardized test statistic. Round to three decimal places.
Z=
Find the p-value. Round to four decimal places.
p-value =
State your decision.
O Since the p-value is less than .05, fail to reject Ho.
O Since the p-value is greater
reject Ho.
O Since the p-value is greater than .05, fail to reject Ho.
O Since the p-value is less than .05, reject Ho.
Interpret the results.
O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due
to identity theft in Pennsylvania is more than 20%.
O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due
to identity theft in Pennsylvania is not equal to 20%.
O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due
to identity theft in Pennsylvania is less than 20%.
O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints
due to identity theft in Pennsylvania is more than 20%.
O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints
due to identity theft in Pennsylvania is less than 20%.
O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints
due to identity theft in Pennsylvania is not equal to 20%.
O
Transcribed Image Text:According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, Pennsylvania had 748 complaints of identity theft out of 3493 consumer complaints. Does this data provide enough evidence to show that Pennsylvania had a higher proportion of identity theft than 20% ? Test at the 5% level. State the hypotheses. Ho: P ? Ha: P ? Calculate the test statistic. Round to four decimal places. p= Calculate the standardized test statistic. Round to three decimal places. Z= Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is less than .05, fail to reject Ho. O Since the p-value is greater reject Ho. O Since the p-value is greater than .05, fail to reject Ho. O Since the p-value is less than .05, reject Ho. Interpret the results. O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Pennsylvania is more than 20%. O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Pennsylvania is not equal to 20%. O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Pennsylvania is less than 20%. O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Pennsylvania is more than 20%. O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Pennsylvania is less than 20%. O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Pennsylvania is not equal to 20%. O
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