Question

In: Statistics and Probability

In a recent Gallup poll, 507 adults aged 18 and older were surveyed and 269 said...

In a recent Gallup poll, 507 adults aged 18 and older were surveyed and 269 said they believed they would not have enough money to live comfortably in retirement. Use a 0.01 significance level to test the claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 60%.

The test statistic is?: ["-2.73", "-3.19", "-3.55", "-4.21", "-1.61"]

The p-value is?: ["0.0002", "0.0024", "0.0032", "0.0007", "0.0001"]

Based on this we?: ["Fail to reject the null hypothesis", "Reject the null hypothesis"]

Conclusion?: There ["does", "does not"] appear to be enough evidence to support the claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 90%.

Expert Solution

269 out of 507 adults believed that they would not have enough money to live comfortably in retirement.

The claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 60%.

The null and alternative hypothesis are,

The test statistics is given by,

Z = -3.19 (b)

P-value is, = 0.0007 (c) < 0.01

Based on this we reject null hypothesis.

Conclusion ; There does appear to be enough evidence to support the claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 60%.

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orchestra answered 2 years ago

In a recent Gallup poll, 507 adults age 18 and older were surveyed and 269 said...

In a recent Gallup poll, 507 adults age 18 and older were surveyed and 269 said they believed they would not have enough money to live comfortably in retirement. Use a 0.01 significance level to test the claim that the proportion of adults who do not believe they will have enough money to live comfortably in retirement is smaller than 60%. The test statistic is: [ Select ] ...

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