A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. But you believe that the proportion of people who are confident is smaller than 50%, 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 500 people, 43% of them said they are confident of meeting their goals. The null and alternative hypothesis would be: Ho :p 2 0.5 Ho:p < 0.5 Ho:p = 0.5 HA:p < 0.5 HA:p > 0.5 HA:p # 0.5 The test is: two-tailed left-tailed right-tailed The test statistic is: (to two decimals) The p-value is: (to four decimals) Based on this we fail to reject the null hypothesis, Ho reject the null hypothesis, Ho

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A well-known brokerage firm executive claimed that
50% of investors are currently confident of meeting
their investment goals.
But you believe that the proportion of people who
are confident is smaller than 50%, 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 500 people, 43% of them
said they are confident of meeting their goals.
The null and alternative hypothesis would be:
Но: р > 0.5 Нo:p< 0.5 Но:р — 0.5
НА:р < 0.5 Нд:р> 0.5 Нд:р + 0.5
The test is:
two-tailed left-tailed right-tailed
The test statistic is:
(to two decimals)
The p-value is:
(to
four decimals)
Based on this we
fail to reject the null hypothesis, Ho
reject the null hypothesis, Ho
Transcribed Image Text:A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. But you believe that the proportion of people who are confident is smaller than 50%, 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 500 people, 43% of them said they are confident of meeting their goals. The null and alternative hypothesis would be: Но: р > 0.5 Нo:p< 0.5 Но:р — 0.5 НА:р < 0.5 Нд:р> 0.5 Нд:р + 0.5 The test is: two-tailed left-tailed right-tailed The test statistic is: (to two decimals) The p-value is: (to four decimals) Based on this we fail to reject the null hypothesis, Ho reject the null hypothesis, Ho
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