A well-known brokerage firm executive claimed that 30% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 38% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 30% at the 0.05 significance level. The null and alternative hypothesis would be:   �0:�≥0.3 �1:�<0.3 �0:�≤0.3 �1:�>0.3 �0:�≥0.3 �1:�<0.3 �0:�=0.3 �1:�≠0.3 �0:�≤0.3 �1:�>0.3 �0:�=0.3 �1:�≠0.3 The test is:   two-tailed left-tailed right-tailed The test statistic is:  (to 3 decimals) The p-value is:  (to 4 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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A well-known brokerage firm executive claimed that 30% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 38% of them said they are confident of meeting their goals.

Test the claim that the proportion of people who are confident is larger than 30% at the 0.05 significance level.

The null and alternative hypothesis would be:

 

�0:�≥0.3
�1:�<0.3
�0:�≤0.3
�1:�>0.3
�0:�≥0.3
�1:�<0.3
�0:�=0.3
�1:�≠0.3
�0:�≤0.3
�1:�>0.3
�0:�=0.3
�1:�≠0.3



The test is:

 

two-tailed
left-tailed
right-tailed



The test statistic is:  (to 3 decimals)

The p-value is:  (to 4 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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