A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. But you believe that the proportion of people who are confident is smaller than 90%, and decide to test your claim at the 0.05 significance level. Your survey, conducted over a two week period, found that in a sample of 200 people, 85% of them said they are confident of meeting their goals. The null and alternative hypothesis is: HA:p ≥ 0.9 HA:p < 0.9 The test statistic is: ____ (to two decimals) The p-value is: ____ (to four decimals)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals.

But you believe that the proportion of people who are confident is smaller than 90%, and decide to test your claim at the 0.05 significance level.

Your survey, conducted over a two week period, found that in a sample of 200 people, 85% of them said they are confident of meeting their goals.

The null and alternative hypothesis is:
HA:p ≥ 0.9 HA:p < 0.9


The test statistic is: ____ (to two decimals)

The p-value is: ____ (to four decimals)

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