Question
In: Statistics and Probability
A nonprofit organization sent mailing labels along with a request for donations to a random sample...
A nonprofit organization sent mailing labels along with a request for donations to a random sample of 75,000 potential donors on their mailing list and received 5625 donations from the effort. In the past, the organization has had a contribution rate of 6%, but the director of the program hoped that the addition of the mailing labels would increase that rate. Perform a hypothesis test using α=0.05. Be sure to include the following:
State the null and alternative hypotheses in symbols and words. Assume conditions have been met.
Perform your hypothesis test "by hand" using the equation editor. Be sure to use the appropriate probability notation. Don't write your conclusion in this step.
Construct a 90% confidence interval, again showing calculations "by hand". Don't write your conclusion in this step.
State your FULL conclusion making sure to site whether we reject or fail to reject and what that means in context based on the p-value. Then support your conclusion with the results from your confidence interval. Then be sure to note whether the hypothesized value falls in our interval and what that means. (3 pts.)
Solutions
orchestra answered 1 year agoRelated Solutions
A nonprofit organization sent mailing labels along with a request for donations to a random sample...
A nonprofit organization sent mailing labels along with a
request for donations to a random sample of 75,000 potential donors
on their mailing list and received 5625 donations from the effort.
In the past, the organization has had a contribution rate of 6%,
but the director of the program hoped that the addition of the
mailing labels would increase that rate. Perform a hypothesis test
using α=0.05. Be sure to include the following:
State the null and alternative hypotheses in...
A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100...
A philanthropic organisation sent free mailing labels and
greeting cards to a random sample of 100 comma 000 potential donors
on their mailing list and received 5404 donations.
(a) Give a 90% confidence interval for the true proportion of
those from their entire mailing list who may donate.
(b) A staff member thinks that the true rate is 5.2%. Given the
confidence interval you found, do you find that rate
plausible?
A nonprofit organization appeals for donations by phoning or emailing recent college graduates. A random sample...
A nonprofit organization appeals for donations by phoning or
emailing recent college graduates. A random sample of 300 graduates
shows that 40% of the 150 who were contacted by telephone actually
made contributions compared to only 30% of the 150 who received
email requests.
Calculate a 95% confidence interval for the difference in the
proportions of graduates who may make donations if contacted by
phone or by email. Give your answer to at least 4 decimal
places.
(,)
Interpret the...
A random sample of 158 recent donations at a certain blood bank reveals that 86 were...
A random sample of 158 recent donations at a certain blood bank
reveals that 86 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of 0.01.
State the appropriate null and alternative hypotheses.
Calculate the test statistic and determine the P-value.
(Round your test statistic to two decimal places and...
A random sample of 154 recent donations at a certain blood bank reveals that 84 were...
A random sample of 154 recent donations at a certain blood bank
reveals that 84 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of
0.01.
State the appropriate null and alternative hypotheses.
Calculate the test statistic and determine the P-value.
(Round your test statistic to two decimal places and...
A random sample of 152 recent donations at a certain blood bank reveals that 88 were...
A random sample of 152 recent donations at a certain blood bank
reveals that 88 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of
0.01.
State the appropriate null and alternative hypotheses.
H0: p = 0.40
Ha: p > 0.40
H0: p = 0.40
Ha: p ≠ 0.40
H0:...
A random sample of 158 recent donations at a certain blood bank reveals that 88 were...
A random sample of 158 recent donations at a certain blood bank
reveals that 88 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of
0.01.
State the appropriate null and alternative hypotheses.
what is the z value?
What is the p-value
A random sample of 145 recent donations at a certain blood bank reveals that 81 were...
A random sample of 145 recent donations at a certain blood bank
reveals that 81 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of
0.01.
State the appropriate null and alternative hypotheses.
H0: p = 0.40
Ha: p > 0.40
H0: p = 0.40
Ha: p <
0.40 H0:...
Question 6 (1 point) The number of text messages sent by a random sample of students...
Question 6 (1 point)
The number of text messages sent by a random sample of students
at a local university was collected and the following histogram was
created:
Which of the following statements is likely true:
Question 6 options:
The distribution of number of text messages sent is
approximately symmetric, so the mean is approximately the same as
the median.
The distribution of number of text messages sent is skewed to
the left, so the mean is likely less than...
The Nellie Mae organization found that in a random sample of 100 undergraduate students taken in...
The Nellie Mae organization found that in a random sample of 100
undergraduate students taken in 2004, the average credit card
balance was $2169. Suppose sample standard deviation of these
credit card balances is $1000. Perform a test to test if the
average credit card debt exceeds $2000.
a)
Identify the population
Identify the variable:
Identify the parameter
b)
Calculate T stat
Find P-value with DF
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