Aresearch center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. in a random sample of 700 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. at alphaequals0.10, is there enough evidence to reject the research center's claim? complete parts (a) through (d) below.
(a) identify the claim and state h0 and ha.
(b) use technology to find the p-value.
(c) decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.

Given :  In a random sample of 700 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it.

To find : (a) Identify the claim and state H0 and Ha.

(b) Use technology to find the P-value.

(c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.

Solution:

A) Claim : A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it.

So,

Now we are given that   In a random sample of 700 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it.

n = 700

x =

We will use one sample proportion test .

Formula of test statistic =

                                       =

                                       =

So, refer the z table for p value

B) p value = 0.9582

C) α = 0.10

p value > α

So, we accept the null hypothesis.

D) Hence we accept the claim that  30% of adults in a certain country would travel into space on a commercial flight if they could afford it.

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