According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, Rhode Island had 717 complaints of identity theft out of 3498 consumer complaints. Does this data provide enough evidence to show that Rhode Island had a higher proportion of identity theft than 20%? Test at the 5% level. State the hypotheses. Ho: PE Calculate the test statistic. Round to four decimal places. 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, reject Ho. O Since the p-value is greater than .05, fail to reject Hg. O Since the p-value is less than .05, fail to reject Ho. O Since the p-value is greater than .05, reject Hg. 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 Rhode Island 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 Rhode Island is not equal to 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 Rhode Island 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 Rhode Island 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 Rhode Island 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 Rhode Island is less than 20%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for
identity theft. In that year, Rhode Island had 717 complaints of identity theft out of 3498 consumer
complaints. Does this data provide enough evidence to show that Rhode Island had a higher proportion of
identity theft than 20%? Test at the 5% level.
State the hypotheses.
Họ: p ?
Ha: P
Calculate the test statistic. Round to four decimal places.
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, reject Ho.
O Since the p-value is greater than .05, fail to reject Hg.
O Since the p-value is less than .05, fail to reject Hg.
O Since the p-value is greater 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 Rhode Island 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 Rhode Island is not equal to 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 Rhode Island 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 Rhode Island 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 Rhode Island 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 Rhode Island is less than 20%.
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, Rhode Island had 717 complaints of identity theft out of 3498 consumer complaints. Does this data provide enough evidence to show that Rhode Island had a higher proportion of identity theft than 20%? Test at the 5% level. State the hypotheses. Họ: p ? Ha: P Calculate the test statistic. Round to four decimal places. 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, reject Ho. O Since the p-value is greater than .05, fail to reject Hg. O Since the p-value is less than .05, fail to reject Hg. O Since the p-value is greater 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 Rhode Island 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 Rhode Island is not equal to 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 Rhode Island 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 Rhode Island 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 Rhode Island 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 Rhode Island is less than 20%.
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